期刊
DISCRETE APPLIED MATHEMATICS
卷 159, 期 17, 页码 2050-2057出版社
ELSEVIER
DOI: 10.1016/j.dam.2011.06.027
关键词
Cayley graph; Kirchhoff index; Resistance distance; Laplacian eigenvalue
资金
- National Natural Science Foundation of China [10971086]
- Fundamental Research Funds for the Central Universities [lzujbky-2011-46]
In this paper, closed-form formulae for the Kirchhoff index and resistance distances of the Cayley graphs over finite abelian groups are derived in terms of Laplacian eigenvalues and eigenvectors, respectively. In particular, formulae for the Kirchhoff index of the hexagonal torus network, the multidimensional torus and the t-dimensional cube are given, respectively. Formulae for the Kirchhoff index and resistance distances of the complete multipartite graph are obtained. (C) 2011 Elsevier B.V. All rights reserved.
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