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Graphs As Groups


Graphs As Groups
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Graphs As Groups


Graphs As Groups
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Infinite Study
Release Date : 2009

Graphs As Groups written by W. B. Vasantha Kandasamy and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Mathematics categories.


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.



Graphs Groups And Surfaces


Graphs Groups And Surfaces
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Author : A.T. White
language : en
Publisher: Elsevier
Release Date : 1985-01-01

Graphs Groups And Surfaces written by A.T. White and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Mathematics categories.


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''.



Groups As Graphs


Groups As Graphs
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Author : W. B. Vasantha Kandasamy
language : en
Publisher: Editura Cuart
Release Date : 2014-05-14

Groups As Graphs written by W. B. Vasantha Kandasamy and has been published by Editura Cuart this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with MATHEMATICS categories.


"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.



Groups Acting On Graphs


Groups Acting On Graphs
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Author : Warren Dicks
language : en
Publisher: Cambridge University Press
Release Date : 1989-03-09

Groups Acting On Graphs written by Warren Dicks 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 1989-03-09 with Mathematics categories.


Originally published in 1989, this is an advanced text and research monograph on groups acting on low-dimensional topological spaces, and for the most part the viewpoint is algebraic. Much of the book occurs at the one-dimensional level, where the topology becomes graph theory. Two-dimensional topics include the characterization of Poincare duality groups and accessibility of almost finitely presented groups. The main three-dimensional topics are the equivariant loop and sphere theorems. The prerequisites grow as the book progresses up the dimensions. A familiarity with group theory is sufficient background for at least the first third of the book, while the later chapters occasionally state without proof and then apply various facts which require knowledge of homological algebra and algebraic topology. This book is essential reading for anyone contemplating working in the subject.



Graphs Of Groups On Surfaces


Graphs Of Groups On Surfaces
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Author : A.T. White
language : en
Publisher: Elsevier
Release Date : 2001-04-27

Graphs Of Groups On Surfaces written by A.T. White and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-04-27 with Mathematics categories.


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.



Groups And Their Graphs


Groups And Their Graphs
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Author : Israel Grossman
language : en
Publisher:
Release Date : 1992

Groups And Their Graphs written by Israel Grossman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Graph theory categories.




Zero Symmetric Graphs


Zero Symmetric Graphs
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Author : H. S. M. Coxeter
language : en
Publisher: Academic Press
Release Date : 2014-05-10

Zero Symmetric Graphs written by H. S. M. Coxeter and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-10 with Mathematics categories.


Zero-Symmetric Graphs: Trivalent Graphical Regular Representations of Groups describes the zero-symmetric graphs with not more than 120 vertices.The graphs considered in this text are finite, connected, vertex-transitive and trivalent. This book is organized into three parts encompassing 25 chapters. The first part reviews the different classes of zero-symmetric graphs, according to the number of essentially different edges incident at each vertex, namely, the S, T, and Z classes. The remaining two parts discuss the theorem and characteristics of type 1Z and 3Z graphs. These parts explore Cayley graphs of specific groups, including the parameters of Cayley graphs of groups. This book will prove useful to mathematicians, computer scientists, and researchers.



Groups And Graphs New Results And Methods


Groups And Graphs New Results And Methods
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Author : A. Delgado
language : en
Publisher: Birkhäuser
Release Date : 1985

Groups And Graphs New Results And Methods written by A. Delgado and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with Juvenile Nonfiction categories.




Orthomorphism Graphs Of Groups


Orthomorphism Graphs Of Groups
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Author : Anthony B. Evans
language : en
Publisher: Springer
Release Date : 2006-11-15

Orthomorphism Graphs Of Groups written by Anthony B. Evans and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.


This book is about orthomorphisms and complete mappings of groups, and related constructions of orthogonal latin squares. It brings together, for the first time in book form, many of the results in this area. The aim of this book is to lay the foundations for a theory of orthomorphism graphsof groups, and to encourage research in this area. To this end, many directions for future research are suggested. The material in this book should be accessible to any graduate student who has taken courses in algebra (group theory and field theory). It will mainly be useful in research on combinatorial design theory, group theory and field theory.



Profinite Graphs And Groups


Profinite Graphs And Groups
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Author : Luis Ribes
language : en
Publisher: Springer
Release Date : 2017-08-23

Profinite Graphs And Groups written by Luis Ribes and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-23 with Mathematics categories.


This book offers a detailed introduction to graph theoretic methods in profinite groups and applications to abstract groups. It is the first to provide a comprehensive treatment of the subject. The author begins by carefully developing relevant notions in topology, profinite groups and homology, including free products of profinite groups, cohomological methods in profinite groups, and fixed points of automorphisms of free pro-p groups. The final part of the book is dedicated to applications of the profinite theory to abstract groups, with sections on finitely generated subgroups of free groups, separability conditions in free and amalgamated products, and algorithms in free groups and finite monoids. Profinite Graphs and Groups will appeal to students and researchers interested in profinite groups, geometric group theory, graphs and connections with the theory of formal languages. A complete reference on the subject, the book includes historical and bibliographical notes as well as a discussion of open questions and suggestions for further reading.