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Symmetry in Graphs

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Release : 2022-05-12
Genre : Language Arts & Disciplines
Kind : eBook
Book Rating : 068/5 ( reviews)

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Book Synopsis Symmetry in Graphs by : Ted Dobson

Download or read book Symmetry in Graphs written by Ted Dobson. This book was released on 2022-05-12. Available in PDF, EPUB and Kindle. Book excerpt: The first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory.

Graph Symmetry

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Release : 2013-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 372/5 ( reviews)

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Book Synopsis Graph Symmetry by : Gena Hahn

Download or read book Graph Symmetry written by Gena Hahn. This book was released on 2013-03-14. Available in PDF, EPUB and Kindle. Book excerpt: The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.

Symmetry in Graph Theory

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Release : 2019-03-14
Genre : Mathematics
Kind : eBook
Book Rating : 58X/5 ( reviews)

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Book Synopsis Symmetry in Graph Theory by : Jose M. Rodriguez

Download or read book Symmetry in Graph Theory written by Jose M. Rodriguez. This book was released on 2019-03-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Isomorphisms, Symmetry and Computations in Algebraic Graph Theory

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Release : 2020-01-10
Genre : Mathematics
Kind : eBook
Book Rating : 082/5 ( reviews)

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Book Synopsis Isomorphisms, Symmetry and Computations in Algebraic Graph Theory by : Gareth A. Jones

Download or read book Isomorphisms, Symmetry and Computations in Algebraic Graph Theory written by Gareth A. Jones. This book was released on 2020-01-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Zero-Symmetric Graphs

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Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 780/5 ( reviews)

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Book Synopsis Zero-Symmetric Graphs by : H. S. M. Coxeter

Download or read book Zero-Symmetric Graphs written by H. S. M. Coxeter. This book was released on 2014-05-10. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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