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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

On Randić energy

TL;DR: In this paper, the Randic matrix R = ( r i j ) of a graph G whose vertex v i has degree d i is defined by R i j = 1 / d i d j if the vertices v i and v j are adjacent and r i J = 0 otherwise.
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Maximal Energy Bipartite Graphs

TL;DR: In this paper, it was shown that if a bipartite graph G is a graph with n vertices and G is an alternant hydrocarbons, then the upper bound on the total energy of G is bounded by the sum of the absolute values of the eigenvalues of G.

On estrada index

Bo Zhou
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A note on Kirchhoff index

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Journal ArticleDOI

Topologies of social interactions

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