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Spectral radius of graphs

<i>Spectral Radius of Graphs</i> provides a thorough overview of important results on the spectral radius of adjacency matrix of graphs that have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the auth...

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Detalles Bibliográficos
Autor principal: Stevanovic, Dragan
Lenguaje:eng
Publicado: Elsevier Science 2015
Materias:
Acceso en línea:http://cds.cern.ch/record/2123150
Descripción
Sumario:<i>Spectral Radius of Graphs</i> provides a thorough overview of important results on the spectral radius of adjacency matrix of graphs that have appeared in the literature in the preceding ten years, most of them with proofs, and including some previously unpublished results of the author. The primer begins with a brief classical review, in order to provide the reader with a foundation for the subsequent chapters. Topics covered include spectral decomposition, the Perron-Frobenius theorem, the Rayleigh quotient, the Weyl inequalities, and the Interlacing theorem. From this introduction, the