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Symmetry in graphs /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Symmetry in graphs // Ted Dobson, Aleksander Malnič, Dragan Marušič.
作者:	Dobson, Ted
其他作者:	Marušič, D.
面頁冊數:	1 online resource (xi, 513 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
標題:	Symmetry (Mathematics) -
電子資源:	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:

788067
Symmetry (Mathematics)

LC Class. No.: QA166 / .D637 2022

Dewey Class. No.: 511/.5

Symmetry in graphs /
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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.
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