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Symmetry in graphs /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Symmetry in graphs // Ted Dobson, Aleksander Malnič, Dragan Marušič.
Author:	Dobson, Ted
other author:	Malnič, Aleksander,
Description:	1 online resource (xi, 513 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
Subject:	Graph theory. -
Online resource:	https://doi.org/10.1017/9781108553995
ISBN:	9781108553995 (ebook)

Symmetry in graphs /
Dobson, Ted

Symmetry in graphs /Ted Dobson, Aleksander Malnič, Dragan Marušič. - 1 online resource (xi, 513 pages) :digital, PDF file(s). - Cambridge studies in advanced mathematics ;198. - Cambridge studies in advanced mathematics ;134..

Title from publisher's bibliographic system (viewed on 07 Apr 2022).

Introduction and constructions -- The petersen graph, blocks, and actions of A -- Some motivating problems -- Graphs with imprimitive automorphism group -- The end of the beginning -- Other classes of graphs -- The Cayley isomorphism problem -- Automorphism groups of vertex-transitive graphs -- Classifying vertex-transitive graphs -- Symmetric graphs -- Hamiltonicity -- Semiregularity -- Graphs with other types of symmetry : half-arc-transitive graphs and semisymmetric graphs -- Fare you well.

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.

ISBN: 9781108553995 (ebook)Subjects--Topical Terms:

527884
Graph theory.

LC Class. No.: QA166 / .D637 2022

Dewey Class. No.: 511/.5

Symmetry in graphs /
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245 1 0 $a Symmetry in graphs / $c Ted Dobson, Aleksander Malnič, Dragan Marušič.
264 1 $a Cambridge ; New York, NY : $b Cambridge University Press, $c 2022.
300 $a 1 online resource (xi, 513 pages) : $b digital, PDF file(s).
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490 1 $a Cambridge studies in advanced mathematics ; $v 198
500 $a Title from publisher's bibliographic system (viewed on 07 Apr 2022).
505 0 $a Introduction and constructions -- The petersen graph, blocks, and actions of A -- Some motivating problems -- Graphs with imprimitive automorphism group -- The end of the beginning -- Other classes of graphs -- The Cayley isomorphism problem -- Automorphism groups of vertex-transitive graphs -- Classifying vertex-transitive graphs -- Symmetric graphs -- Hamiltonicity -- Semiregularity -- Graphs with other types of symmetry : half-arc-transitive graphs and semisymmetric graphs -- Fare you well.
520 $a 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.
650 0 $a Graph theory. $3 527884
650 0 $a Symmetry (Mathematics) $3 788067
700 1 $a Malnič, Aleksander, $e author. $3 1447153
700 1 $a Marušič, D. $q (Dragan), $e author. $3 1447154
776 0 8 $i Print version: $z 9781108429061
830 0 $a Cambridge studies in advanced mathematics ; $v 134. $3 1133579
856 4 0 $u https://doi.org/10.1017/9781108553995