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Spectra of graphs : theory and application

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TLDR
The Spectrum and the Group of Automorphisms as discussed by the authors have been used extensively in Graph Spectra Techniques in Graph Theory and Combinatory Applications in Chemistry an Physics. But they have not yet been applied to Graph Spectral Biblgraphy.
Abstract
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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Journal ArticleDOI

The (signless) Laplacian spectral radius of unicyclic and bicyclic graphs with n vertices and k pendant vertices

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The spectral moments of trees with given maximum degree

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New upper bounds for Estrada index of bipartite graphs

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Graphs with few distinct distance eigenvalues irrespective of the diameters

TL;DR: In this article, the authors constructed a class of graphs with arbitrary diameter and satisfying the property that the distance matrix of each graph in the families has exactly k distinct eigenvalues.