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1. The influence of electron-doping on the ground state of (Sr{1-x}La{x})2IrO4

Author

Chen, Xiang, Hogan, Tom, Walkup, D., Zhou, Wenwen, Pokharel, M., Yao, Mengliang, Tian, Wei, Ward, Thomas Z., Zhao, Y., Parshall, D., Opeil, C., Lynn, J. W., Madhavan, Vidya, and Wilson, Stephen D.

Subjects
Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Superconductivity
Abstract

The evolution of the electronic properties of electron-doped (Sr{1-x}La{x})2IrO4 is experimentally explored as the doping limit of La is approached. As electrons are introduced, the electronic ground state transitions from a spin-orbit Mott phase into an electronically phase separated state, where long-range magnetic order vanishes beyond x = 0.02 and charge transport remains percolative up to the limit of La substitution (x~0.06). In particular, the electronic ground state remains inhomogeneous even beyond the collapse of the parent state's long-range antiferromagnetic order, while persistent short-range magnetism survives up to the highest La-substitution levels. Furthermore, as electrons are doped into Sr2IrO4, we observe the appearance of a low temperature magnetic glass-like state intermediate to the complete suppression of antiferromagnetic order. Universalities and differences in the electron-doped phase diagrams of single layer and bilayer Ruddlesden-Popper strontium iridates are discussed., Comment: 12 pages, 12 figures. New version has revised text, added references, and updated figures

Published
2015
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2. First-order melting of a weak spin-orbit Mott insulator into a correlated metal

Author

Hogan, Tom, Yamani, Z., Walkup, D., Chen, Xiang, Dally, Rebecca, Ward, Thomas Z., Hill, John, Islam, Z., Madhavan, Vidya, and Wilson, Stephen D.

Subjects
Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Materials Science, Condensed Matter - Superconductivity
Abstract

The electronic phase diagram of the weak spin-orbit Mott insulator (Sr(1-x)Lax)3Ir2O7 is determined via an exhaustive experimental study. Upon doping electrons via La substitution, an immediate collapse in resistivity occurs along with a narrow regime of nanoscale phase separation comprised of antiferromagnetic, insulating regions and paramagnetic, metallic puddles persisting until x~0.04. Continued electron doping results in an abrupt, first-order phase boundary where the Neel state is suppressed and a homogenous, correlated, metallic state appears with an enhanced spin susceptibility and local moments. As the metallic state is stabilized, a weak structural distortion develops and suggests a competing instability with the parent spin-orbit Mott state., Comment: 5 pages, 4 figures

Published
2015
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3. Ripple modulated electronic structure of a 3D topological insulator

Author

Okada, Yoshinori, Zhou, Wenwen, Walkup, D., Dhital, Chetan, Wilson, S. D., and Madhavan, V.

Subjects
Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Materials Science
Abstract

3D topological insulators, similar to the Dirac material graphene, host linearly dispersing states with unique properties and a strong potential for applications. A key, missing element in realizing some of the more exotic states in topological insulators is the ability to manipulate local electronic properties. Analogy with graphene suggests a possible avenue via a topographic route by the formation of superlattice structures such as a moir\'e patterns or ripples, which can induce controlled potential variations. However, while the charge and lattice degrees of freedom are intimately coupled in graphene, it is not clear a priori how a physical buckling or ripples might influence the electronic structure of topological insulators. Here we use Fourier transform scanning tunneling spectroscopy to determine the effects of a one-dimensional periodic buckling on the electronic properties of Bi2Te3. By tracking the spatial variations of the scattering vector of the interference patterns as well as features associated with bulk density of states, we show that the buckling creates a periodic potential modulation, which in turn modulates the surface and the bulk states. The strong correlation between the topographic ripples and electronic structure indicates that while doping alone is insufficient to create predetermined potential landscapes, creating ripples provides a path to controlling the potential seen by the Dirac electrons on a local scale. Such rippled features may be engineered by strain in thin films and may find use in future applications of topological insulators., Comment: Nature Communications (accepted)

Published
2012
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4. Visualizing Landau levels of Dirac electrons in a one dimensional potential

Author

Okada, Yoshinori, Zhou, Wenwen, Dhital, Chetan., Walkup, D., Ran, Ying, Wang, Z., Wilson, Stephen D., and Madhavan, V.

Subjects
Condensed Matter - Mesoscale and Nanoscale Physics, Condensed Matter - Materials Science
Abstract

Using scanning tunneling spectroscopy we have measured the response of Dirac electrons in a magnetic field to the presence of a well-defined smoothly varying 1D periodic potential. We find that the lower index Landau level energies reliably trace the potential variations, while the higher index levels appear surprisingly homogeneous. Modeling the effects of the periodic potential on the Landau level spectra, we show that the Landau level behavior encodes information on the spatial extent of the wavefunctions. The lower index maps reveal Landau level stripes, which would act as traps for chiral one-dimensional modes. Our findings have important implications for transport and magneto-resistance measurements in Dirac materials with engineered potential landscapes., Comment: Phys. Rev. Lett. (accepted)

Published
2012
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5. One-dimensional channel for Dirac electrons in a 3D topological insulator

Author

Okada, Yoshinori, Zhou, Wenwen, Dhital, Chetan., Walkup, D., Ran, Ying, Wang, Z., Wilson, Stephen D., and Madhavan, V.

Subjects
Condensed Matter - Materials Science, Condensed Matter - Mesoscale and Nanoscale Physics
Abstract

Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana Fermions and 1D chiral modes, many of which require a delicate tuning of the surface state properties near the Dirac point. Using scanning tunneling microscopy (STM) on the prototypical topological insulator Bi2Te3, we have discovered one-dimensional topographic stripes which induce spatially modulated changes in the electronic structure. Direct magnetic field measurements reveal a striped pattern of Landau level energies, which can be used to realize spatial regions with alternating filling fractions. When the chemical potential is properly tuned, the observed modulation would dictate the existence of topological 1D chiral modes at the boundaries between the stripes, and provide a platform for the experimental realization of 1D dissipationless quantum wires in topological insulators. Our discovery that the surface state dispersion is modulated over nanometer length scales by an intrinsic topographic route represents a new paradigm for controlling the properties of Dirac electrons., Comment: This paper has been withdrawn due to major changes. The improved version would be submitted elsewhere

Published
2012

6. A quantum ruler for orbital magnetism in moiré quantum matter

Author

Slot, M. R., primary, Maximenko, Y., additional, Haney, P. M., additional, Kim, S., additional, Walkup, D. T., additional, Strelcov, E., additional, Le, Son T., additional, Shih, E. M., additional, Yildiz, D., additional, Blankenship, S. R., additional, Watanabe, K., additional, Taniguchi, T., additional, Barlas, Y., additional, Zhitenev, N. B., additional, Ghahari, F., additional, and Stroscio, J. A., additional

Published
2023
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10. Observation of Dirac Node Formation and Mass Acquisition in a Topological Crystalline Insulator

Author

Massachusetts Institute of Technology. Department of Physics, Serbyn, Maksym, Fu, Liang, Okada, Y., Lin, H., Walkup, D., Zhou, W., Dhital, C., Neupane, M., Xu, S., Wang, Y. J., Sankar, R., Chou, F., Bansil, A., Hasan, M. Z., Wilson, S. D., Madhavan, V., Massachusetts Institute of Technology. Department of Physics, Serbyn, Maksym, Fu, Liang, Okada, Y., Lin, H., Walkup, D., Zhou, W., Dhital, C., Neupane, M., Xu, S., Wang, Y. J., Sankar, R., Chou, F., Bansil, A., Hasan, M. Z., Wilson, S. D., and Madhavan, V.

Abstract

In topological crystalline insulators (TCIs), topology and crystal symmetry intertwine to create surface states with distinct characteristics. The breaking of crystal symmetry in TCIs is predicted to impart mass to the massless Dirac fermions. Here, we report high-resolution scanning tunneling microscopy studies of a TCI, Pb1-xSnxSe that reveal the coexistence of zero-mass Dirac fermions protected by crystal symmetry with massive Dirac fermions consistent with crystal symmetry breaking. In addition, we show two distinct regimes of the Fermi surface topology separated by a Van-Hove singularity at the Lifshitz transition point. Our work paves the way for engineering the Dirac band gap and realizing interaction-driven topological quantum phenomena in TCIs.

Published
2019

15. E2205

Author

Farber, S. M., Walkup, D. W., Wets, R. J. B., and Fray, Robert

Published
1970
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16. Influence of electron doping on the ground state of(Sr1−xLax)2IrO4

Author

Chen, Xiang, primary, Hogan, Tom, additional, Walkup, D., additional, Zhou, Wenwen, additional, Pokharel, M., additional, Yao, Mengliang, additional, Tian, Wei, additional, Ward, Thomas Z., additional, Zhao, Y., additional, Parshall, D., additional, Opeil, C., additional, Lynn, J. W., additional, Madhavan, Vidya, additional, and Wilson, Stephen D., additional

Published
2015
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22. A generalized lower-bound conjecture for simplicial polytopes.

Author

McMullen, P. and Walkup, D. W.

Abstract

Let P be a simplicial d-polytope, and, for – 1 ≤ j < d, let fj(P) denote the number of j-faces of P (with f_1 (P) = 1). For k = 0, ..., [½d] – 1, we defineand conjecture thatgk(d + 1)(P) ≥ 0,with equality in the k-th relation if and only if P can be subdivided into a simplicial complex, all of whose simplices of dimension at most d – k – 1 are faces of P. This conjecture is compared with the usual lower-bound conjecture, evidence in support of the conjecture is given, and it is proved that any linear inequality satisfied by the numbers fj(P) is a consequence of the linear inequalities given above. [ABSTRACT FROM PUBLISHER]

Published
1971
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24. CAVAP, A FORTRAN SUBROUTINE FOR SOLVING AN ASSIGNMENT PROBLEM WITH CONCAVE OBJECTIVE

Author

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Walkup,D. W., BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, and Walkup,D. W.

Abstract

The document describes a FORTRAN IV subroutine named CAVAP (an acronym for conCAVe Assignment Problem) which uses a branch and bound method to solve a variant of the assignment problem in which the objective to be minimized is concave. It is assumed that m tasks are to be performed and n different kinds of machines have been defined for possible use in performing them. It is assumed that total cost, which is to be minimized, is the sum of costs for each kind of machine, each of which is in turn a concave function of the number of machines of that type required. CAVAP has been used to solve a space fleet selection problem with 20 space missions (tasks), 40 booster and spacecraft components (machines), and a number of alternative launch vehicle configurations and combinations for each mission. (Author)

Published
1969

25. ON A BRANCH-AND-BOUND METHOD FOR SEPARABLE CONCAVE PROGRAMS.

Author

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Walkup,D. W., BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, and Walkup,D. W.

Abstract

A separable concave program is defined to be any program of the form: Minimize z(x) subject to x in K, where K is any subset of n-space and z(x) is a separable concave function, i.e. can be written as a sum of n concave functions each of which depends on only one of the components of the vector x. (A familiar special case is the so-called fixed charge linear program.) It is shown how a branch-and-bound algorithm for a separable concave program can always be obtained if the related program of minimizing a linear function over K can be performed efficiently. A special case is considered in which K is a very large discrete set but can be described as the vector sum of smaller sets. The branch-and-bound algorithm for this special case has been programmed and applied to a problem of selecting a minimum cost fleet of space vehicles. (Author)

Published
1967

26. SUFFICIENT CONDITIONS FOR ASSOCIATION OF BINARY VARIABLES

Author

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Walkup,D. W., BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, and Walkup,D. W.

Abstract

In connection with studies of reliability of coherent binary systems, it has been suggested that a set of binary random variables be called associated if all pairs of binary nondecreasing functions of these variables have nonnegative covariance. In this note it is shown that there exists a unique smallest set A of pairs of binary nondecreasing functions on the variables such that nonnegative covariance for the pairs in A is necessary and sufficient condition for association of the variables. This set A is characterized and it is shown that its size increases rapidly with the number of variables. It is also shown that for four or more variables there exist pairs in A corresponding to coherent systems with no nontrivial modules, thus suggesting it is impossible to find an equivalent definition of association of binary random variables which makes material use of partitioning of the variables. (Author)

Published
1966

27. A MULTIVARIATE NOTION OF ASSOCIATION, WITH A RELIABILITY APPLICATION

Author

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Esary,J. D., Proschan,Frank, Walkup,D. W., BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Esary,J. D., Proschan,Frank, and Walkup,D. W.

Abstract

Random variables T1,T2,...,Tn are, in this paper, associated if each pair of non-decreasing functions F(T1,T2,...,Tn), G(T1,T2,...,Tn) have a non-negative covariance. Association holds in cases ranging from T1,T2,...,Tn independent to T1,T2,...,Tn jointly restricted to a non-decreasing curve. Association is preserved under the standard multivariate operations of extracting subsets and pooling independent sets; and under the special operation of forming sets of non-decreasing functions. Suitable choices of F,G lead to various inequalities for associated random variables. The properties of association are studied in the simple, but representative, case that T1,T2,...,Tn are finitely discrete. The notion of association is useful in extending the domain of validity of the minimal cut lower bound for the reliability of a coherent system, notably (here) to the case of repairable components with exponential times to failure and exponential times to repair. (Author)

Published
1966

28. ORDER-PRESERVING FUNCTIONS; APPLICATIONS TO MAJORIZATION AND ORDER STATISTICS

Author

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Marshall,A. W., Walkup,D. W., Wets,R. J. B., BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Marshall,A. W., Walkup,D. W., and Wets,R. J. B.

Abstract

It has been common in the theory of reliability and its practice to assume that the life of a device is exponentially distributed (i.e. it has constant hazard or failure rate) or intuitively, that the device does not wear in service. This assumption is mathematically convenient, but it should not be employed without verification of its tenability from actual data. Natural alternatives to constant hazard rate are increasing hazard rate and increasing hazard rate average, which correspond to the intuitive concept of wear-out. Recently, methods have been developed for reliability analysis based on these alternatives. Various statistical tests of the hypothesis of constant hazard rate versus the alternatives of increasing hazard rate (IHR) or increasing hazard rate average (IHRA) have been proposed. A good test must be unbiased, i.e., must yield the conclusion of constant hazard rate more often when it is true than when it is not. Such unbiased tests are those based upon functions that preserve a certain unusual vector ordering, that is, upon functions f such that f(x sub 1,...,x sub n) < f(y sub 1,...,y sub n) whenever (x sub 1,...,x sub n) the vector ordering (y sub 1,...,y sub n). Among other results, this paper presents criteria for determining whether or not a function preserves the vector ordering, i.e. whether or not the related test of constant hazard rate versus IHR or IHRA is unbiased.

Published
1966

29. A MULTIVARIATE NOTION OF ASSOCIATION FOR GENERAL RANDOM VARIABLES

Author

BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Esary,J. D., Proschan,Frank, Walkup,D. W., BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH MATHEMATICS RESEARCH LAB, Esary,J. D., Proschan,Frank, and Walkup,D. W.

Abstract

In a previous paper (A multivariate notion of association, with a reliability application) random variables T1,T2,...,Tn were defined to be associated if each pair of non-decreasing functions F(T1,T2,...,Tn), G(T1,T2,...,Tn) have a non-negative covariance. The properties of this definition were studied in the case that T1,T2,...,Tn are finitely discrete, and a sample application to reliability theory was discussed. In the present paper several equivalent definitions of the same notion of association for unrestricted T1,T2,...,Tn are treated. The properties previously obtained, i.e. that association is preserved under the operations of extracting subsets, pooling independent sets, and forming sets of non-decreasing functions, are shown to hold in general. In addition, association is shown to be preserved under limits in distribution. Some additional applications of association are discussed, e.g. previously published results of A. W. Kimball and H. Robbins are obtained. (Author)

Published
1966

30. Mathematical Notes

Author

Bick, T. A., primary, Walkup, D. W., additional, Brownlee, Anne, additional, Rao, P. R. P., additional, Ukidave, V. H., additional, Hoare, A. H. M., additional, Singleton, Robert, additional, Selucký, K., additional, Paine, Dwight, additional, Guerrier, W. J., additional, Stanley, M. G., additional, and McCord, M. C., additional

Published
1968
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31. Mathematical Notes

Author

Morgado, José, primary, Mauldon, J. G., additional, Walkup, D. W., additional, Rao, S. K. Lakshmana, additional, Jacobson, R. A., additional, Marcus, Solomon, additional, Eberlein, P. J., additional, Bohn, Elwood, additional, Lee, Jong, additional, Mrowka, S. G., additional, Fell, Harriet, additional, Mather, John, additional, Kirk, W. A., additional, and Cullen, C. G., additional

Published
1965
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32. Influence of electron doping on the ground state of (Sr1-xLax)2IrO4.

Author

Xiang Chen, Hogan, Tom, Walkup, D., Wenwen Zhou, Pokharel, M., Mengliang Yao, Wei Tian, Ward, Thomas Z., Zhao, Y., Parshall, D., Opeil, C., Lynn, J. W., Madhavan, Vidya, and Wilson, Stephen D.

Subjects
*GROUND state energy, *ELECTRONIC structure, *ELECTRIC properties, *ANTIFERROMAGNETISM, *PHASE diagrams
Abstract

The evolution of the electronic properties of electron-doped (Sr1-xLax)2IrO4 is experimentally explored as the doping limit of La is approached. As electrons are introduced, the electronic ground-state transitions from a spin-orbit Mott phase into an electronically phase separated state, where long-range magnetic order vanishes beyond x = 0.02 and charge transport remains percolative up to the limit of La substitution (x ≈ 0.06). In particular, the electronic ground state remains inhomogeneous even beyond the collapse of the parent state's long-range antiferromagnetic order, while persistent short-range magnetism survives up to the highest La-substitution levels. Furthermore, as electrons are doped into Sr2IrO4, we observe the appearance of a low-temperature magnetic glasslike state intermediate to the complete suppression of antiferromagnetic order. Universalities and differences in the electron-doped phase diagrams of single-layer and bilayer Ruddlesden-Popper strontium iridates are discussed. [ABSTRACT FROM AUTHOR]

Published
2015
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33. Influence of electron doping on the ground state of (Sr1-xLax)2IrO4.

Author

Xiang Chen, Tom Hogan, Walkup, D., Wenwen Zhou, Pokharel, M., Mengliang Yao, Wei Tian, Ward, Thomas Z., Zhao, Y., Parshall, D., Opeil, C., Lynn, J. W., Madhavan, Vidya, and Wilson, Stephen D.

Subjects
*DOPING agents (Chemistry), *GROUND state (Quantum mechanics), *LANTHANUM oxide, *SPIN-orbit interactions, *MOTT effect (Physics), *MAGNETISM
Abstract

The evolution of the electronic properties of electron-doped (Sr1-xLax)2IrO4 is experimentally explored as the doping limit of La is approached. As electrons are introduced, the electronic ground-state transitions from a spin-orbit Mott phase into an electronically phase separated state, where long-range magnetic order vanishes beyond x = 0.02 and charge transport remains percolative up to the limit of La substitution (x ≈ .6). In particular, the electronic ground state remains inhomogeneous even beyond the collapse of the parent state's long-range antiferromagnetic order, while persistent short-range magnetism survives up to the highest La-substitution levels. Furthermore, as electrons are doped into Sr2IrO4, we observe the appearance of a low-temperature magnetic glasslike state intermediate to the complete suppression of antiferromagnetic order. Universalities and differences in the electron-doped phase diagrams of single-layer and bilayer Ruddlesden-Popper strontium iridates are discussed. [ABSTRACT FROM AUTHOR]

Published
2015
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34. Quadratic knapsack problems

Author

Gallo, G., Hammer, P. L., Simeone, B., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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35. Weakly admissible transformations for solving algebraic assignment and transportation problems

Author

Burkard, R. E., Zimmermann, U., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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36. Worst case analysis of greedy type algorithms for independence systems

Author

Hausmann, D., Korte, B., Jenkyns, T. A., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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37. A LIFO implicit enumeration algorithm for the asymmetric travelling salesman problem using a one-arborescence relaxation

Author

Smith, T. H. C., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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38. A technique for determining blocking and anti-blocking polyhedral descriptions

Author

Huang, H.-C., Trotter, L. E., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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39. Polynomial bounding for NP-hard problems

Author

Camerini, P. M., Maffioli, F., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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40. On the symmetric travelling salesman problem: A computational study

Author

Padberg, Manfred W., Hong, Saman, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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41. Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study

Author

Balas, Egon, Ho, Andrew, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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42. On the symmetric travelling salesman problem: Solution of a 120-city problem

Author

Grötschel, Martin, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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43. Cutting planes from conditional bounds: A new approach to set covering

Author

Balas, Egon, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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44. Dual integrality in b-matching problems

Author

Pulleyblank, W., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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45. Certain kinds of polar sets and their relation to mathematical programming

Author

Tind, Jørgen, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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46. Fractional vertices, cuts and facets of the simple plant location problem

Author

Guignard, Monique, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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47. Colouring criteria for adjacency on 0–1-polyhedra

Author

Hausmann, Dirk, Korte, Bernhard, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Crowder, H. P., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Iri, Masao, editor, Johnson, Ellis L., editor, Lemarechal, C., editor, Lemke, C. E., editor, McCormick, Garth P., editor, Nemhauser, George L., editor, Oettli, Werner, editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Hoffman, A. J., editor

Published
1978
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48. Balanced matrices and property (G)

Author

Berge, Claude, Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, and Padberg, M. W., editor

Published
1980
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49. Preliminary airplane design aided by mathematical optimization

Author

Eckard, G. J., Rettie, I. H., Healy, M. J., Kowalik, J. S., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, Avriel, M., editor, and Dembo, R. S., editor

Published
1979
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50. Mathematical programming and the optimization of computer simulations

Author

Biles, William E., Swain, James J., Balinski, M. L., editor, Beale, E. M. L., editor, Dantzig, George B., editor, Kantorovich, L., editor, Koopmans, Tjalling C., editor, Tucker, A. W., editor, Wolfe, Philip, editor, Bartels, R., editor, Chvátal, Václav, editor, Cottle, Richard W., editor, Dennis, J. E., Jr., editor, Eaves, B. Curtis, editor, Fletcher, R., editor, Korte, B., editor, Iri, Masao, editor, Lemarechal, C., editor, Lemke, C. E., editor, Nemhauser, George L., editor, Padberg, Manfred W., editor, Powell, M. J. D., editor, Shapiro, Jeremy F., editor, Shapley, L. S., editor, Spielberg, K., editor, Tuy, Hoang, editor, Walkup, D. W., editor, Wets, Roger, editor, Witzgall, C., editor, Avriel, M., editor, and Dembo, R. S., editor

Published
1979
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