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Your search keyword '"Isaac Cinzori"' showing total 2 results
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2 results on '"Isaac Cinzori"'

1. An explicit upper bound on disparity for trees of a given diameter

Author

Charles R. Johnson, Isaac Cinzori, and Hannah Lang

Subjects
Combinatorics, Algebra and Number Theory, Symmetric matrix, Graph (abstract data type), 010103 numerical & computational mathematics, 0101 mathematics, 01 natural sciences, Tree (graph theory), Upper and lower bounds, Eigenvalues and eigenvectors, Mathematics
Abstract

It is known that the minimum number of distinct eigenvalues c ( T ) of a symmetric matrix whose graph is a given tree T is at least the diameter d ( T ) of that tree. However, the disparity c ( T )...

Published
2021
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2. Further generalization of symmetric multiplicity theory to the geometric case over a field

Author

Charles R. Johnson, Carlos M. Saiago, Isaac Cinzori, Hannah Lang, CMA - Centro de Matemática e Aplicações, and DM - Departamento de Matemática

Subjects
Path (topology), Field (physics), Generalization, Eigenvalue, 05c50 (primary), Generalized star, Graph of a matrix, combinatorially symmetric matrix, geometric multiplicity, 05c38, QA1-939, eigenvalue, 15a18 (secondary), Eigenvalues and eigenvectors, Mathematics, Algebra and Number Theory, Mathematical analysis, path, Multiplicity (mathematics), generalized star, graph of a matrix, 05c05, Path, Geometry and Topology, Combinatorially symmetric matrix, Geometric multiplicity
Abstract

Using the recent geometric Parter-Wiener, etc. theorem and related results, it is shown that much of the multiplicity theory developed for real symmetric matrices associated with paths and generalized stars remains valid for combinatorially symmetric matrices over a field. A characterization of generalized stars in the case of combinatorially symmetric matrices is given.

Published
2021
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