Spectra of Graphs, 87
Theory and Application
- 1st Edition - June 28, 1980
- Latest edition
- Authors: Dragos M. Cvetkovic, Michael Doob, Horst Sachs
- Language: English
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… Read more
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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.
This book has been written for mathematicians working in the area of graph theory and combinations, for chemists who are interested in quantum chemistry. and, at least partly, for physicists and electrical engineers using graph theory in their work.
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.
- Edition: 1
- Latest edition
- Published: June 28, 1980
- Language: English