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Zero-Symmetric Graphs

2014-05-10 Mathematics
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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.

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.

Inverse Problems and Zero Forcing for Graphs

2022-07-21 Mathematics
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Release : 2022-07-21
Genre : Mathematics
Kind : eBook
Book Rating : 554/5 ( reviews)

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Book Synopsis Inverse Problems and Zero Forcing for Graphs by : Leslie Hogben

Download or read book Inverse Problems and Zero Forcing for Graphs written by Leslie Hogben. This book was released on 2022-07-21. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the inverse eigenvalue problem for graphs (IEP-$G$) and the related area of zero forcing, propagation, and throttling. The IEP-$G$ grew from the intersection of linear algebra and combinatorics and has given rise to both a rich set of deep problems in that area as well as a breadth of “ancillary” problems in related areas. The IEP-$G$ asks a fundamental mathematical question expressed in terms of linear algebra and graph theory, but the significance of such questions goes beyond these two areas, as particular instances of the IEP-$G$ also appear as major research problems in other fields of mathematics, sciences and engineering. One approach to the IEP-$G$ is through rank minimization, a relevant problem in itself and with a large number of applications. During the past 10 years, important developments on the rank minimization problem, particularly in relation to zero forcing, have led to significant advances in the IEP-$G$. The monograph serves as an entry point and valuable resource that will stimulate future developments in this active and mathematically diverse research area.

Nearrings and Nearfields

2005-12-05 Mathematics
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Release : 2005-12-05
Genre : Mathematics
Kind : eBook
Book Rating : 915/5 ( reviews)

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Book Synopsis Nearrings and Nearfields by : Hubert Kiechle

Download or read book Nearrings and Nearfields written by Hubert Kiechle. This book was released on 2005-12-05. Available in PDF, EPUB and Kindle. Book excerpt: This present volume is the Proceedings of the 18th International C- ference on Nearrings and Near?elds held in Hamburg at the Universit ̈ at derBundeswehrHamburgfromJuly27toAugust03,2003. ThisConf- ence was organized by Momme Johs Thomsen and Gerhard Saad from the Universit ̈ at der Bundeswehr Hamburg and by Alexander Kreuzer, Hubert Kiechle and Wen-Ling Huang from the Universit ̈ a ̈t Hamburg. It was already the second Conference on Nearrings and Near?elds in Hamburg after the Conference on Nearrings and Near?elds at the same venue from July 30 to August 06, 1995. TheConferencewasattendedby57mathematiciansandmanyacc- panying persons who represented 16 countries from all ?ve continents. The ?rst of these conferences took place 35 years earlier in 1968 at the Mathematische Forschungsinstitut Oberwolfach in the Black Forest inGermany. Thiswasalsothesiteofthesecond,third,?fthandeleventh conference in 1972, 1976, 1980 and 1989. The other twelve conferences held before the second Hamburg Conference took place in nine di?erent countries. For details about this and, moreover, for a general histo- cal overview of the development of the subject we refer to the article ”On the beginnings and developments of near-ring theory” by Gerhard Betsch [3] in the proceedings of the 13th Conference in Fredericton, New Brunswick,Canada. Duringthelast?ftyyearsthetheoryofnearringsandrelatedalgebraic structures like near?elds, nearmodules, nearalgebras and seminearrings has developed into an extensive branch of algebra with its own features.

Graph-Theoretic Concepts in Computer Science

2003-06-26 Computers
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Release : 2003-06-26
Genre : Computers
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Book Rating : 84X/5 ( reviews)

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Book Synopsis Graph-Theoretic Concepts in Computer Science by : Peter Widmayer

Download or read book Graph-Theoretic Concepts in Computer Science written by Peter Widmayer. This book was released on 2003-06-26. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 25th International Workshop on Graph-Theorie Concepts in Computer Science WG'99, held at the Centre Stefano Frascini on Monte Verita, Ascona, Switzerland in June 1999. The 33 revised full papers presented together with four invited contributions were carefully reviewed and selected from 64 papers submitted. The papers provide a wealth of new results for various graph classes, graph computations, graph algorithms and graph-theoretical applications in a variety of fields.

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