Back to Search
Start Over
On the Kirchhoff index of some toroidal lattices.
- Source :
-
Linear & Multilinear Algebra . Jun2011, Vol. 59 Issue 6, p645-650. 6p. 2 Diagrams. - Publication Year :
- 2011
-
Abstract
- The resistance distance is a novel distance function on a graph proposed by Klein and Randic [D.J. Klein and M. Randic, Resistance distance, J. Math. Chem. 12 (1993), pp. 81-85]. The Kirchhoff index of a graph G is defined as the sum of resistance distances between all pairs of vertices of G. In this article, based on the result by Gutman and Mohar [I. Gutman and B. Mohar, The quasi-Wiener and the Kirchhoff indices coincide, J. Chem. Inf. Comput. Sci. 36 (1996), pp. 982-985], we compute the Kirchhoff index of the square, 8.8.4, hexagonal and triangular lattices, respectively. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03081087
- Volume :
- 59
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Linear & Multilinear Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 60703534
- Full Text :
- https://doi.org/10.1080/03081081003794233