Spectra Of Graphs
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Spectra Of Graphs
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Author : Dragoš M. Cvetković
language : en
Publisher:
Release Date : 1980
Spectra Of 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 1980 with Mathematics categories.
The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of reasoning fully justifying it to be treated as a theory in its own right.
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.
Graph Spectra For Complex Networks
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Author : Piet van Mieghem
language : en
Publisher: Cambridge University Press
Release Date : 2010-12-02
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 2010-12-02 with Technology & Engineering categories.
Analyzing the behavior of complex networks is an important element in the design of new man-made structures such as communication systems and biologically engineered molecules. Because any complex network can be represented by a graph, and therefore in turn by a matrix, graph theory has become a powerful tool in the investigation of network performance. This self-contained 2010 book provides a concise introduction to the theory of graph spectra and its applications to the study of complex networks. Covering a range of types of graphs and topics important to the analysis of complex systems, this guide provides the mathematical foundation needed to understand and apply spectral insight to real-world systems. In particular, the general properties of both the adjacency and Laplacian spectrum of graphs are derived and applied to complex networks. An ideal resource for researchers and students in communications networking as well as in physics and mathematics.
Spectra Of Graphs
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Author : Dragoš M. Cvetković
language : en
Publisher:
Release Date : 1980
Spectra Of 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 1980 with Mathematics categories.
The theory of graph spectra can, in a way, be considered as an attempt to utilize linear algebra including, in particular, the well-developed theory of matrices for the purposes of graph theory and its applications. to the theory of matrices; on the contrary, it has its own characteristic features and specific ways of reasoning fully justifying it to be treated as a theory in its own right.
Spectra Of Graphs
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Author : Dragoš M. Cvetković
language : en
Publisher: Johann Ambrosius Barth
Release Date : 1995
Spectra Of Graphs written by Dragoš M. Cvetković and has been published by Johann Ambrosius Barth this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Recent Results In The Theory Of Graph Spectra
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Author : D.M. Cvetkovic
language : en
Publisher: Elsevier
Release Date : 1988-01-01
Recent Results In The Theory Of Graph Spectra written by D.M. Cvetkovic and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-01-01 with Mathematics categories.
The purpose of this volume is to review the results in spectral graph theory which have appeared since 1978.The problem of characterizing graphs with least eigenvalue -2 was one of the original problems of spectral graph theory. The techniques used in the investigation of this problem have continued to be useful in other contexts including forbidden subgraph techniques as well as geometric methods involving root systems. In the meantime, the particular problem giving rise to these methods has been solved almost completely. This is indicated in Chapter 1.The study of various combinatorial objects (including distance regular and distance transitive graphs, association schemes, and block designs) have made use of eigenvalue techniques, usually as a method to show the nonexistence of objects with certain parameters. The basic method is to construct a graph which contains the structure of the combinatorial object and then to use the properties of the eigenvalues of the graph. Methods of this type are given in Chapter 2.Several topics have been included in Chapter 3, including the relationships between the spectrum and automorphism group of a graph, the graph isomorphism and the graph reconstruction problem, spectra of random graphs, and the Shannon capacity problem. Some graph polynomials related to the characteristic polynomial are described in Chapter 4. These include the matching, distance, and permanental polynomials. Applications of the theory of graph spectra to Chemistry and other branches of science are described from a mathematical viewpoint in Chapter 5. The last chapter is devoted to the extension of the theory of graph spectra to infinite graphs.
Spectral Graph Theory
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Author : Fan R. K. Chung
language : en
Publisher: American Mathematical Soc.
Release Date : 1997
Spectral Graph Theory written by Fan R. K. Chung and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Mathematics categories.
This text discusses spectral graph theory.
Combinatorial Mathematics Iv
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Author : L. R. A. Casse
language : en
Publisher: Springer
Release Date : 2006-11-14
Combinatorial Mathematics Iv written by L. R. A. Casse and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Federation Over The Web
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Author : Klaus P. Jantke
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-19
Federation Over The Web written by Klaus P. Jantke 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 2006-01-19 with Computers categories.
The lives of people all around the world, especially in industrialized nations, continue to be changed by the presence and growth of the Internet. Its in?uence is felt at scales ranging from private lifestyles to national economies, boosting thepaceatwhichmoderninformationandcommunicationtechnologiesin?uence personal choices along with business processes and scienti?c endeavors. In addition to its billions of HTML pages, the Web can now be seen as an open repository of computing resources. These resources provide access to computational services as well as data repositories, through a rapidly growing variety of Web applications and Web services. However, people’s usage of all these resources barely scratches the surface of the possibilities that such richness should o?er. One simple reason is that, given the variety of information available and the rate at which it is being extended, it is di?cult to keep up with the range of resources relevant to one’s interests. Another reason is that resources are o?ered in a bewildering variety of formats and styles, so that many resources e?ectively stand in isolation. This is reminiscent of the challenge of enterprise application integration, - miliar to every large organization be it in commerce, academia or government. Thechallengearisesbecauseoftheaccumulationofinformationandcommuni- tion systems over decades, typically without the technical provision or political will to make them work together. Thus the exchange of data among those s- tems is di?cult and expensive, and the potential synergetic e?ects of combining them are never realized.
Regular Graphs
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Author : Zoran Stanić
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2017-04-24
Regular Graphs written by Zoran Stanić and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-24 with Mathematics categories.
Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specific subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research. Contents Spectral properties Particular types of regular graph Determinations of regular graphs Expanders Distance matrix of regular graphs