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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.read more
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A note on energy of some graphs
G. Indulal,Ambat Vijayakumar +1 more
TL;DR: In this paper, the authors obtained analytic expressions for the energy of two classes of regular graphs, i.e., the sum of the absolute values of the eigenvalues of a graph's adjacency matrix.
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More on the Laplacian Estrada index
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TL;DR: In this paper, the authors established upper and lower bounds in terms of the number of vertices, number of edges, and the first Zagreb index for Laplacian Estrada index.
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The anti-adjacency matrix of a graph: Eccentricity matrix
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Distance spectral radius of graphs with r pendent vertices
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The golden jubilee of the Coulson-Rushbrooke pairing theorem
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