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Titlebook: Isomorphisms, Symmetry and Computations in Algebraic Graph Theory; Pilsen, Czech Republ Gareth A. Jones,Ilia Ponomarenko,Jozef Širáň Confer

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书目名称Isomorphisms, Symmetry and Computations in Algebraic Graph Theory
副标题Pilsen, Czech Republ
编辑Gareth A. Jones,Ilia Ponomarenko,Jozef Širáň
视频video
概述Presents a unique selection of articles illustrating various aspects of algebraic combinatorics.Also features a survey, as well as an extensive tutorial.Addresses topics such as association schemes, s
丛书名称Springer Proceedings in Mathematics & Statistics
图书封面Titlebook: Isomorphisms, Symmetry and Computations in Algebraic Graph Theory; Pilsen, Czech Republ Gareth A. Jones,Ilia Ponomarenko,Jozef Širáň Confer
描述.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..
出版日期Conference proceedings 2020
关键词association scheme; schur ring; Cayley graph; Paley graph; Regular map; Isomorphism; automorphism, Group
版次1
doihttps://doi.org/10.1007/978-3-030-32808-5
isbn_softcover978-3-030-32810-8
isbn_ebook978-3-030-32808-5Series ISSN 2194-1009 Series E-ISSN 2194-1017
issn_series 2194-1009
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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,The Paulus–Rozenfeld–Thompson Graph on 26 Vertices Revisited and Related Combinatorial Structures,roup . in its action on the vertex set of . has two orbits of length 20 and 6. Many special features of the graph . and its group . make it a remarkable object in algebraic graph theory. The presentation, arranged in the style of a tutorial, describes the graph . from many viewpoints of mathematics
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Tatra Schemes and Their Mergings,ing classes in these schemes we obtain several series of interesting schemes, among them .-polynomial schemes related to distance-regular graphs first described by Mathon, and non-commutative schemes of rank 6.
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From Schur Rings to Constructive and Analytical Enumeration of Circulant Graphs with Prime-Cubed Nu theory of the results which form the basis of our computational approach. Some curious and rather unexpected identities are established between intermediate valency-specified enumerators and their validity is conjectured for arbitrary cubed odd primes .. We conclude with the enumeration of self-com
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