Spectral Generalizations Of Line Graphs

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Spectral Generalizations Of Line Graphs

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Author : Dragoš Cvetkovic
language : en
Publisher: Cambridge University Press
Release Date : 2004-07-22

Spectral Generalizations Of Line Graphs written by Dragoš Cvetkovic and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-07-22 with Mathematics categories.

Introduction -- Forbidden subgraphs -- Root systems -- Regular graphs -- Star complements -- The Maximal exceptional graphs -- Miscellaneous results.

Spectral Generalizations Of Line Graphs

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Author : Dragoš M. Cvetković
language : en
Publisher:
Release Date : 2004

Spectral Generalizations Of Line Graphs written by Dragoš M. Cvetković and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Eigenvalues categories.

An important resource for all researchers with an interest in algebraic graph theory.

Spectral Generalizations Of Line Graphs

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Author : Dragoš M. Cvetković
language : en
Publisher:
Release Date : 2014-05-14

Spectral Generalizations Of Line Graphs written by Dragoš M. Cvetković and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.

Line graphs have the property that their least eigenvalue is greater than, or equal to, -2, a property shared by generalized line graphs and a finite number of so-called exceptional graphs. This book deals with all these families of graphs in the context of their spectral properties. Technical descriptions of these graphs are included in the appendices, while the bibliography provides over 250 references. It will be an important resource for all researchers with an interest in algebraic graph theory.

Line Graphs And Line Digraphs

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Author : Lowell W. Beineke
language : en
Publisher: Springer Nature
Release Date : 2021-10-29

Line Graphs And Line Digraphs written by Lowell W. Beineke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.

In the present era dominated by computers, graph theory has come into its own as an area of mathematics, prominent for both its theory and its applications. One of the richest and most studied types of graph structures is that of the line graph, where the focus is more on the edges of a graph than on the vertices. A subject worthy of exploration in itself, line graphs are closely connected to other areas of mathematics and computer science. This book is unique in its extensive coverage of many areas of graph theory applicable to line graphs. The book has three parts. Part I covers line graphs and their properties, while Part II looks at features that apply specifically to directed graphs, and Part III presents generalizations and variations of both line graphs and line digraphs. Line Graphs and Line Digraphs is the first comprehensive monograph on the topic. With minimal prerequisites, the book is accessible to most mathematicians and computer scientists who have had an introduction graph theory, and will be a valuable reference for researchers working in graph theory and related fields.

Spectra Of Graphs

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Author : Andries E. Brouwer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-12-17

Spectra Of Graphs written by Andries E. Brouwer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-17 with Mathematics categories.

This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra. The text progresses systematically, by covering standard topics before presenting some new material on trees, strongly regular graphs, two-graphs, association schemes, p-ranks of configurations and similar topics. Exercises at the end of each chapter provide practice and vary from easy yet interesting applications of the treated theory, to little excursions into related topics. Tables, references at the end of the book, an author and subject index enrich the text. Spectra of Graphs is written for researchers, teachers and graduate students interested in graph spectra. The reader is assumed to be familiar with basic linear algebra and eigenvalues, although some more advanced topics in linear algebra, like the Perron-Frobenius theorem and eigenvalue interlacing are included.

Eigenspaces Of Graphs

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Author : Dragoš M. Cvetković
language : en
Publisher: Cambridge University Press
Release Date : 1997-01-09

Eigenspaces Of Graphs written by Dragoš M. Cvetković and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-01-09 with Mathematics categories.

Current research on the spectral theory of finite graphs may be seen as part of a wider effort to forge closer links between algebra and combinatorics (in particular between linear algebra and graph theory).This book describes how this topic can be strengthened by exploiting properties of the eigenspaces of adjacency matrices associated with a graph. The extension of spectral techniques proceeds at three levels: using eigenvectors associated with an arbitrary labelling of graph vertices, using geometrical invariants of eigenspaces such as graph angles and main angles, and introducing certain kinds of canonical eigenvectors by means of star partitions and star bases. One objective is to describe graphs by algebraic means as far as possible, and the book discusses the Ulam reconstruction conjecture and the graph isomorphism problem in this context. Further problems of graph reconstruction and identification are used to illustrate the importance of graph angles and star partitions in relation to graph structure. Specialists in graph theory will welcome this treatment of important new research.

Graph Spectra For Complex Networks

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Author : Piet Van Mieghem
language : en
Publisher: Cambridge University Press
Release Date : 2023-09-21

Graph Spectra For Complex Networks written by Piet Van Mieghem and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-21 with Computers categories.

Spectral properties of the adjacency, Laplacian and effective resistance matrices of graphs are derived and applied to complex networks.

Harmonic And Subharmonic Function Theory On The Hyperbolic Ball

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Author : Manfred Stoll
language : en
Publisher: Cambridge University Press
Release Date : 2016-06-30

Harmonic And Subharmonic Function Theory On The Hyperbolic Ball written by Manfred Stoll and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-30 with Mathematics categories.

A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.

Geometry In A Fr Chet Context

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Author : C. T. J. Dodson
language : en
Publisher: Cambridge University Press
Release Date : 2016

Geometry In A Fr Chet Context written by C. T. J. Dodson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with Mathematics categories.

A new approach to studying Fréchet geometry using projective limits of geometrical objects modelled on Banach spaces.

Surveys In Combinatorics 2015

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Author : Artur Czumaj
language : en
Publisher: Cambridge University Press
Release Date : 2015-07-02

Surveys In Combinatorics 2015 written by Artur Czumaj and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-02 with Mathematics categories.

This volume contains nine survey articles based on the invited lectures given at the 25th British Combinatorial Conference, held at the University of Warwick in July 2015. This biennial conference is a well-established international event, with speakers from around the world. The volume provides an up-to-date overview of current research in several areas of combinatorics, including graph theory, Ramsey theory, combinatorial geometry and curves over finite fields. Each article is clearly written and assumes little prior knowledge on the part of the reader. The authors are some of the world's foremost researchers in their fields, and here they summarise existing results and give a unique preview of cutting-edge developments. The book provides a valuable survey of the present state of knowledge in combinatorics, and will be useful to researchers and advanced graduate students, primarily in mathematics but also in computer science and statistics.