Spectra of graphs : theory and application

Dragoš M. Cvetković, Michael Doob, Horst Sachs

The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. However, that does not mean that the theory of graph spectra can be reduced to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of reasoning fully justifying it to be treated as a theory in its own right.

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  • Introduction. Basic Concepts of the Spectrum of a Graph. Operations on Graphs and the Resulting Spectra. Relations Between Spectral and Structural Properties of Graphs. The Divisor of a Graph. The Spectrum and the Group of Automorphisms. Characterization of Graphs by Means of Spectra. Spectra Techniques in Graph Theory and Combinatories. Applications in Chemistry an Physics. Some Additional Results. Appendix. Tables of Graph Spectra Biblgraphy. Index of Symbols. Index of Names. Subject Index.

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書名 Spectra of graphs : theory and application
著作者等 Cvetković, Dragoš M.
Doob, Michael
Sachs, Horst
Cvetkovic Dragos M.
シリーズ名 Pure and applied mathematics
出版元 Academic Press
刊行年月 c1979
ページ数 368 p.
大きさ 24 cm
ISBN 0121951502
NCID BA03593616
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言語 英語
出版国 アメリカ合衆国