Distance Regular Graphs And Eigenvalue Multiplicities Microform
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Distance Regular Graphs And Eigenvalue Multiplicities Microform
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Author : Zhu, Ruopeng
language : en
Publisher: National Library of Canada = Bibliothèque nationale du Canada
Release Date : 1989
Distance Regular Graphs And Eigenvalue Multiplicities Microform written by Zhu, Ruopeng and has been published by National Library of Canada = Bibliothèque nationale du Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Graph theory categories.
Distance Regular Graphs
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Author : Andries E. Brouwer
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Distance Regular 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 2012-12-06 with Mathematics categories.
Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distance-regular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distance-regular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book.
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
Bipartite Distance Regular Graphs
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Author : Brian Curtin
language : en
Publisher:
Release Date : 1996
Bipartite Distance Regular Graphs written by Brian Curtin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Some Problems In The Theory Of Distance Regular Graphs
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Author : Benjamin V. C. Collins
language : en
Publisher:
Release Date : 1996
Some Problems In The Theory Of Distance Regular Graphs written by Benjamin V. C. Collins and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
Eigenvalues Multiplicities And Graphs
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Author : Charles R. Johnson
language : en
Publisher: Cambridge University Press
Release Date : 2018-02-12
Eigenvalues Multiplicities And Graphs written by Charles R. Johnson 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 2018-02-12 with Mathematics categories.
This book investigates the influence of the graph of a symmetric matrix on the multiplicities of its eigenvalues.
Some Results On Bipartite Distance Regular Graphs
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Author : Michael S. Lang
language : en
Publisher:
Release Date : 2001
Some Results On Bipartite Distance Regular Graphs written by Michael S. Lang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with categories.
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.
Antipodal Distance Regular Graphs Microform
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Author : Andrew David Hensel
language : en
Publisher: National Library of Canada
Release Date : 1988
Antipodal Distance Regular Graphs Microform written by Andrew David Hensel and has been published by National Library of Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
Perturbation Theory For Linear Operators
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Author : Tosio Kato
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Perturbation Theory For Linear Operators written by Tosio Kato 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 2013-06-29 with Mathematics categories.