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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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Sharp Upper Bounds for Energy and Randic Energy

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On the Extremal Energies of Trees

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Energies of some non-regular graphs

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A study of eigenspaces of graphs

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Lifshits tails for spectra of Erdoes-Renyi random graphs

TL;DR: In this paper, the authors considered the discrete Laplace operator on Erdoes-Renyi random graphs and showed that the expectation value of the integrated density of states exhibits a Lifshits-tail behavior at the lower spectral edge E = 0.