Symmetry In Graph Theory

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This book contains the successful invited submissions to a Special Issue of Symmetry on the subject of “Graph Theory”. Although symmetry has always played an important role in Graph Theory, in recent years, this role has increased significantly in several branches of this field, including but not limited to Gromov hyperbolic graphs, the metric dimension of graphs, domination theory, and topological indices. This Special Issue includes contributions addressing new results on these topics, both from a theoretical and an applied point of view.

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Genre : Mathematics
Author : Jose M. Rodriguez
Publisher : MDPI
Release : 2019-03-14
File : 340 Pages
ISBN-13 : 9783038976585


Symmetry In Graphs

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The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.

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Genre : Language Arts & Disciplines
Author : Ted Dobson
Publisher : Cambridge University Press
Release : 2022-05-12
File : 527 Pages
ISBN-13 : 9781108429061


Algebraic Graph Theory

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This is a substantial revision of a much-quoted monograph, first published in 1974. The structure is unchanged, but the text has been clarified and the notation brought into line with current practice. A large number of 'Additional Results' are included at the end of each chapter, thereby covering most of the major advances in the last twenty years. Professor Biggs' basic aim remains to express properties of graphs in algebraic terms, then to deduce theorems about them. In the first part, he tackles the applications of linear algebra and matrix theory to the study of graphs; algebraic constructions such as adjacency matrix and the incidence matrix and their applications are discussed in depth. There follows an extensive account of the theory of chromatic polynomials, a subject which has strong links with the 'interaction models' studied in theoretical physics, and the theory of knots. The last part deals with symmetry and regularity properties. Here there are important connections with other branches of algebraic combinatorics and group theory. This new and enlarged edition this will be essential reading for a wide range of mathematicians, computer scientists and theoretical physicists.

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Genre : Mathematics
Author : Norman Biggs
Publisher : Cambridge University Press
Release : 1993
File : 220 Pages
ISBN-13 : 0521458978


Isomorphisms Symmetry And Computations In Algebraic Graph Theory

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This book consists of a selection of peer-reviewed contributions to the Workshop on Algebraic Graph Theory that took place in Pilsen, Czech Republic in October 2016. Primarily intended for early career researchers, it presents eight self-contained articles on a selection of topics within algebraic combinatorics, ranging from association schemes to symmetries of graphs and isomorphism testing. Algebraic combinatorics is a compelling mathematical discipline based on the powerful interplay of algebraic and combinatorial methods. Algebraic interpretation of combinatorial structures (such as symmetry or regularity) has often led to enlightening discoveries and powerful results, while discrete and combinatorial structures have given rise to new algebraic structures that have found valuable applications. In addition to these original research contributions, the reader will find a survey linking numerous threads in algebraic combinatorics, and an extensive tutorial showcasing the universality of algebraic methods in the study of combinatorial structures.

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Genre : Mathematics
Author : Gareth A. Jones
Publisher : Springer Nature
Release : 2020-01-10
File : 239 Pages
ISBN-13 : 9783030328085


Spectral Graph Theory

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Beautifully written and elegantly presented, this book is based on 10 lectures given at the CBMS workshop on spectral graph theory in June 1994 at Fresno State University. Chung's well-written exposition can be likened to a conversation with a good teacher - one who not only gives you the facts, but tells you what is really going on, why it is worth doing, and how it is related to familiar ideas in other areas. The monograph is accessible to the nonexpert who is interested in reading about this evolving area of mathematics.

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Genre : Mathematics
Author : Fan R. K. Chung
Publisher : American Mathematical Soc.
Release :
File : 228 Pages
ISBN-13 : 0821889362


Handbook Of Graph Theory Combinatorial Optimization And Algorithms

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The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c

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Genre : Computers
Author : Krishnaiyan "KT" Thulasiraman
Publisher : CRC Press
Release : 2016-01-05
File : 1217 Pages
ISBN-13 : 9781420011074


Handbook Of Graph Theory

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In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition-over 400 pages longer than its prede

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Genre : Computers
Author : Jonathan L. Gross
Publisher : CRC Press
Release : 2013-12-17
File : 1606 Pages
ISBN-13 : 9781439880197


Topological Graph Theory

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Iintroductory treatment emphasizes graph imbedding but also covers connections between topological graph theory and other areas of mathematics. Authors explore the role of voltage graphs in the derivation of genus formulas, explain the Ringel-Youngs theorem, and examine the genus of a group, including imbeddings of Cayley graphs. Many figures. 1987 edition.

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Genre : Mathematics
Author : Jonathan L. Gross
Publisher : Courier Corporation
Release : 2001-01-01
File : 386 Pages
ISBN-13 : 9780486417417


Topics In Algebraic Graph Theory

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There is no other book with such a wide scope of both areas of algebraic graph theory.

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Genre : Mathematics
Author : Lowell W. Beineke
Publisher : Cambridge University Press
Release : 2004-10-04
File : 302 Pages
ISBN-13 : 0521801974


Applying Graph Theory In Ecological Research

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This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.

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Genre : Mathematics
Author : Mark R.T. Dale
Publisher : Cambridge University Press
Release : 2017-11-09
File : 355 Pages
ISBN-13 : 9781107089310