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Graph Symmetry

2013-03-14 Mathematics
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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 Graphs

2022-05-12 Language Arts & Disciplines
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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.

Symmetry in Graph Theory

2019-03-14 Mathematics
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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.

Symmetry in Graphs

2022-05-12 Mathematics
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Release : 2022-05-12
Genre : Mathematics
Kind : eBook
Book Rating : 620/5 ( 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: This is the first full-length book on the major theme of symmetry in graphs. Forming part of algebraic graph theory, this fast-growing field is concerned with the study of highly symmetric graphs, particularly vertex-transitive graphs, and other combinatorial structures, primarily by group-theoretic techniques. In practice the street goes both ways and these investigations shed new light on permutation groups and related algebraic structures. The book assumes a first course in graph theory and group theory but no specialized knowledge of the theory of permutation groups or vertex-transitive graphs. It begins with the basic material before introducing the field's major problems and most active research themes in order to motivate the detailed discussion of individual topics that follows. Featuring many examples and over 450 exercises, it is an essential introduction to the field for graduate students and a valuable addition to any algebraic graph theorist's bookshelf.

Symmetry

2014-05-23 Science
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Release : 2014-05-23
Genre : Science
Kind : eBook
Book Rating : 528/5 ( reviews)

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Book Synopsis Symmetry by : István Hargittai

Download or read book Symmetry written by István Hargittai. This book was released on 2014-05-23. Available in PDF, EPUB and Kindle. Book excerpt: International Series in Modern Applied Mathematics and Computer Science, Volume 10: Symmetry: Unifying Human Understanding provides a tremendous scope of “symmetry , covering subjects from fractals through court dances to crystallography and literature. This book discusses the limits of perfection, symmetry as an aesthetic factor, extension of the Neumann-Minnigerode-Curie principle, and symmetry of point imperfections in solids. The symmetry rules for chemical reactions, matching and symmetry of graphs, mosaic patterns of H. J. Woods, and bilateral symmetry in insects are also elaborated. This text likewise covers the crystallographic patterns, Milton's mathematical symbol of theodicy, symmetries of soap films, and gapon formalism. This volume is a good source for researchers and specialists concerned with symmetry.

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