Groups And Graphs Designs And Dynamics

Author : R. A. Bailey
Publisher : Cambridge University Press
ISBN 13 : 1009465945
Total Pages : 452 pages
Book Rating : 4.46/5 ( download)

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Download or read book Groups and Graphs, Designs and Dynamics written by R. A. Bailey and published by Cambridge University Press. This book was released on 2024-05-30 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of four short courses looks at group representations, graph spectra, statistical optimality, and symbolic dynamics, highlighting their common roots in linear algebra. It leads students from the very beginnings in linear algebra to high-level applications: representations of finite groups, leading to probability models and harmonic analysis; eigenvalues of growing graphs from quantum probability techniques; statistical optimality of designs from Laplacian eigenvalues of graphs; and symbolic dynamics, applying matrix stability and K-theory. An invaluable resource for researchers and beginning Ph.D. students, this book includes copious exercises, notes, and references.

Author : A.T. White
Publisher : Elsevier
ISBN 13 : 0080871194
Total Pages : 329 pages
Book Rating : 4.96/5 ( download)

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Download or read book Graphs, Groups and Surfaces written by A.T. White and published by Elsevier. This book was released on 1985-01-01 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The field of topological graph theory has expanded greatly in the ten years since the first edition of this book appeared. The original nine chapters of this classic work have therefore been revised and updated. Six new chapters have been added, dealing with: voltage graphs, non-orientable imbeddings, block designs associated with graph imbeddings, hypergraph imbeddings, map automorphism groups and change ringing. Thirty-two new problems have been added to this new edition, so that there are now 181 in all; 22 of these have been designated as ``difficult'' and 9 as ``unsolved''. Three of the four unsolved problems from the first edition have been solved in the ten years between editions; they are now marked as ``difficult''.

Author : A.T. White
Publisher : Elsevier
ISBN 13 : 0080507581
Total Pages : 379 pages
Book Rating : 4.83/5 ( download)

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Download or read book Graphs of Groups on Surfaces written by A.T. White and published by Elsevier. This book was released on 2001-04-27 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book, suitable as both an introductory reference and as a text book in the rapidly growing field of topological graph theory, models both maps (as in map-coloring problems) and groups by means of graph imbeddings on sufaces. Automorphism groups of both graphs and maps are studied. In addition connections are made to other areas of mathematics, such as hypergraphs, block designs, finite geometries, and finite fields. There are chapters on the emerging subfields of enumerative topological graph theory and random topological graph theory, as well as a chapter on the composition of English church-bell music. The latter is facilitated by imbedding the right graph of the right group on an appropriate surface, with suitable symmetries. Throughout the emphasis is on Cayley maps: imbeddings of Cayley graphs for finite groups as (possibly branched) covering projections of surface imbeddings of loop graphs with one vertex. This is not as restrictive as it might sound; many developments in topological graph theory involve such imbeddings. The approach aims to make all this interconnected material readily accessible to a beginning graduate (or an advanced undergraduate) student, while at the same time providing the research mathematician with a useful reference book in topological graph theory. The focus will be on beautiful connections, both elementary and deep, within mathematics that can best be described by the intuitively pleasing device of imbedding graphs of groups on surfaces.

Author : A. Delgado
Publisher : Birkhäuser
ISBN 13 :
Total Pages : 252 pages
Book Rating : 4.31/5 ( download)

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Download or read book Groups and Graphs: New Results and Methods written by A. Delgado and published by Birkhäuser. This book was released on 1985 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Israel Grossman
Publisher :
ISBN 13 :
Total Pages : 208 pages
Book Rating : 4.14/5 ( download)

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Download or read book Groups and Their Graphs written by Israel Grossman and published by . This book was released on 1961 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Frank Harary
Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.16/5 ( download)

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Download or read book Graph Theory as a Mathematical Model in Social Science written by Frank Harary and published by . This book was released on 1953 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Bernardo Gabriel Rodrigues
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.40/5 ( download)

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Download or read book Codes of Designs and Graphs from Finite Simple Groups written by Bernardo Gabriel Rodrigues and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : W. B. Vasantha Kandasamy
Publisher : Editura Cuart
ISBN 13 : 9781461913481
Total Pages : 170 pages
Book Rating : 4.89/5 ( download)

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Download or read book Groups as Graphs written by W. B. Vasantha Kandasamy and published by Editura Cuart. This book was released on 2014-05-14 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: "For the first time, every finite group is represented in the form of a graph in this book. This study is significant because properties of groups can be immediately obtained by looking at the graphs of the groups"--Back cover.

Author : I. M. Grossman
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.80/5 ( download)

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Download or read book Groups and Their Graphs written by I. M. Grossman and published by . This book was released on 1904 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John Meier
Publisher : Cambridge University Press
ISBN 13 : 9780521895453
Total Pages : 244 pages
Book Rating : 4.56/5 ( download)

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Download or read book Groups, Graphs and Trees written by John Meier and published by Cambridge University Press. This book was released on 2008-07-31 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and geometry. Theorems are balanced by specific examples such as Baumslag-Solitar groups, the Lamplighter group and Thompson's group. Only exposure to undergraduate-level abstract algebra is presumed, and from that base the core techniques and theorems are developed and recent research is explored. Exercises and figures throughout the text encourage the development of geometric intuition. Ideal for advanced undergraduates looking to deepen their understanding of groups, this book will also be of interest to graduate students and researchers as a gentle introduction to geometric group theory.