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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 evaluation of the eighth moment for benzenoid graphs

TL;DR: In this paper, the evaluation of the 8 moment of the adjacency matrix of benzenoid graphs is considered and it is found that the 8 moments can be expressed in terms of 7 graphical invariants.

Distance Laplacian eigenvalues and chromatic number in graphs

TL;DR: In this paper, the authors studied the spectral radius of the distance Laplacian of a connected graph with fixed order and chromatic number and proved lower bounds on the spectral spectral radius in terms of $n$ and $chi.
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Comparing energy and randić energy

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Constructing cospectral signed graphs

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Spectra of infinite graphs with tails

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