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Download or read book On 2-arc-transitive Cayley graphs of dihedral groups written by and published by . This book was released on 2001 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ted Dobson
Publisher : Cambridge University Press
ISBN 13 : 1108643620
Total Pages : 528 pages
Book Rating : 4.1/5 (86 download)
Download or read book Symmetry in Graphs written by Ted Dobson and published by Cambridge University Press. This book was released on 2022-05-12 with total page 528 pages. 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.
Author : Jack Koolen
Publisher : CRC Press
ISBN 13 : 0203885767
Total Pages : 188 pages
Book Rating : 4.2/5 (38 download)
Download or read book Applications of Group Theory to Combinatorics written by Jack Koolen and published by CRC Press. This book was released on 2008-07-02 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of Group Theory to Combinatorics contains 11 survey papers from international experts in combinatorics, group theory and combinatorial topology. The contributions cover topics from quite a diverse spectrum, such as design theory, Belyi functions, group theory, transitive graphs, regular maps, and Hurwitz problems, and present the state
Author : Cai-Heng Li
Publisher : American Mathematical Society
ISBN 13 : 1470453835
Total Pages : 112 pages
Book Rating : 4.4/5 (74 download)
Download or read book Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups written by Cai-Heng Li and published by American Mathematical Society. This book was released on 2022-08-31 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Cai Heng Li
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (897 download)
Download or read book On Finite 2-arc Transitive Cayley Graphs written by Cai Heng Li and published by . This book was released on 2003 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Štefko Miklavič
Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (162 download)
Download or read book Distance-regular Cayley Graphs on Dihedral Groups written by Štefko Miklavič and published by . This book was released on 2005 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Sribatsa Nanda
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173195976
Total Pages : 268 pages
Book Rating : 4.1/5 (959 download)
Download or read book Mathematical Analysis and Applications written by Sribatsa Nanda and published by Alpha Science Int'l Ltd.. This book was released on 2004 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intends to serve as an introduction to the knowledge in various areas like Fuzzy Topological spaces, Operator Theory, Variational Inequalities, and Number Theory and more. This book includes articles on Fuzzy functions, applications of Functional Analysis and Complementarity problems provide applications of classical areas.
Author : Chris Godsil
Publisher : Springer Science & Business Media
ISBN 13 : 1461301637
Total Pages : 453 pages
Book Rating : 4.4/5 (613 download)
Download or read book Algebraic Graph Theory written by Chris Godsil and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents and illustrates the main tools and ideas of algebraic graph theory, with a primary emphasis on current rather than classical topics. It is designed to offer self-contained treatment of the topic, with strong emphasis on concrete examples.
Author : Dragan Marušič
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (54 download)
Download or read book On 2-arc-transitivity of Cayley Graphs written by Dragan Marušič and published by . This book was released on 2002 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jane Marie Young Loftus
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (779 download)
Download or read book Random Walks on Cayley Graphs of Dihedral Groups written by Jane Marie Young Loftus and published by . This book was released on 1999 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Zhexian Wan
Publisher : Springer Science & Business Media
ISBN 13 : 9780792339892
Total Pages : 282 pages
Book Rating : 4.3/5 (398 download)
Download or read book Group Theory in China written by Zhexian Wan and published by Springer Science & Business Media. This book was released on 1996 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hsio-Fu Tuan is a Chinese mathematician who has made important contributions to the theories of both finite groups and Lie groups. He has also had a great influence on the development of algebra, and particularly group theory in China. The present volume consists of a collection of essays on various aspects of group theory written by some of his former students and colleagues in honour of his 80th birthday. The papers contain the main general results, as well as recent ones, on certain topics within this discipline. The chief editor, Zhe-Xian Wan, is a leading algebraist in China.
Author : Robert Connelly
Publisher : Springer
ISBN 13 : 1493907816
Total Pages : 378 pages
Book Rating : 4.4/5 (939 download)
Download or read book Rigidity and Symmetry written by Robert Connelly and published by Springer. This book was released on 2014-06-11 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract polytope theory has resulted in a rich theory featuring an attractive interplay of methods and tools from discrete geometry, group theory, classical geometry, hyperbolic geometry and topology. Overall, the book shows how researchers from diverse backgrounds explore connections among the various discrete structures with symmetry as the unifying theme. The volume will be a valuable source as an introduction to the ideas of both combinatorial and geometric rigidity theory and its applications, incorporating the surprising impact of symmetry. It will appeal to students at both the advanced undergraduate and graduate levels, as well as post docs, structural engineers and chemists.
Author : Josef Lauri
Publisher : Cambridge University Press
ISBN 13 : 9780521529037
Total Pages : 176 pages
Book Rating : 4.5/5 (29 download)
Download or read book Topics in Graph Automorphisms and Reconstruction written by Josef Lauri and published by Cambridge University Press. This book was released on 2003-03-17 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide in depth coverage of selected areas of graph theory, and throughout the focus is mainly on symmetry properties of graphs. Standard topics on graph automorphisms are presented early on, while in later chapters, more specialised topics are tackled, such as graphical regular representations and pseudosimilarity. The four final chapters are devoted to the reconstruction problem, and here greater emphasis is given to those results that involve the symmetry of graphs. As much as possible, the authors have tried to present results and proofs which are not often to be found in textbooks. Any student who has mastered the contents of this book will be well prepared for current research in many aspects of the theory of graph automorphisms and the reconstruction problem.
Author : Ahmad K. Naimzada
Publisher : Springer Science & Business Media
ISBN 13 : 3540684093
Total Pages : 292 pages
Book Rating : 4.5/5 (46 download)
Download or read book Networks, Topology and Dynamics written by Ahmad K. Naimzada and published by Springer Science & Business Media. This book was released on 2008-11-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is convergent consensus among scientists that many social, economic and ?nancial phenomena can be described by a network of agents and their inter- tions. Surprisingly, even though the application ?elds are quite different, those n- works often show a common behaviour. Thus, their topological properties can give useful insights on how the network is structured, which are the most “important” nodes/agents, how the network reacts to new arrivals. Moreover the network, once included into a dynamic context, helps to model many phenomena. Among the t- ics in which topology and dynamics are the essential tools, we will focus on the diffusion of technologies and fads, the rise of industrial districts, the evolution of ?nancial markets, cooperation and competition, information ?ows, centrality and prestige. The volume, including recent contributions to the ?eld of network modelling, is based on the communications presented at NET 2006 (Verbania, Italy) and NET 2007 (Urbino, Italy); offers a wide range of recent advances, both theoretical and methodological, that will interest academics as well as practitioners. Theory and applications are nicely integrated: theoretical papers deal with graph theory, game theory, coalitions, dynamics, consumer behavior, segregation models and new contributions to the above mentioned area. The applications cover a wide range: airline transportation, ?nancial markets, work team organization, labour and credit market.
Author : Xiangwen Li
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (813 download)
Download or read book L(2,1)-labeling of Cubic Cayley Graphs on Dihedral Group written by Xiangwen Li and published by . This book was released on 2007 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Azhvan Ahmady
Publisher :
ISBN 13 :
Total Pages : 147 pages
Book Rating : 4.:/5 (926 download)
Download or read book Integral Cayley Graphs written by Azhvan Ahmady and published by . This book was released on 2013 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graph X is said to be integral if all eigenvalues of the adjacency matrix of X are integers. This property was first defined by Harary and Schwenk who suggested the problem of classifying integral graphs. Since the general problem of classifying integral graphs seemed too difficult, graph theorists started to investigate special classes of graphs which included trees, graphs of bounded degree, regular graphs and Cayley graphs. What proves so interesting about this problem is that no one can yet identify what the integral trees are or which 5-regular graphs are integral. In this thesis, integral Cayley graphs are studied. Several topics on the integral Cayley graphs are presented. First, a classification of integral Cayley graphs over abelian groups in terms of the associated Boolean algebra of the subgroups is presented. Secondly, the notions of character and representation integrality are introduced. It has been shown that character integrality is a weaker notion than representation integrality. An internal classification of character integral subsets is proved. General results about representation integral subsets are presented and in an attempt to generalize the results from abelian to non-abelian case, Hamiltonian and dihedral groups are studied. Thirdly, two open problems about integrality of Cayley graphs are solved. Simple eigenvalues in Cayley graphs are studied, and some observations lead to two interesting results in this topic. Finally, the classification of cubic and 4-regular integral Cayley graphs are presented. A general approach to characterize all integral Cayley graphs over abelian groups is presented. Furthermore, a sharp upper bound over the size of the group in terms of the graph degree has been suggested and proved. The thesis concludes with a section devoted to open problems and conjectures in this area.
Author :
Publisher :
ISBN 13 :
Total Pages : 776 pages
Book Rating : 4.3/5 (91 download)
Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt:
