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Symmetry in graphs

Dobson, Ted.

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Symmetry in graphs

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Symmetry in graphs/ Ted Dobson, Aleksander Malnič, Dragan Marušič.
作者:	Dobson, Ted.
其他作者:	Malnič, Aleksander.
出版者:	Cambridge ; New York, NY :Cambridge University Press, : 2022.,
面頁冊數:	xi, 513 p. :ill., digital ;23 cm.
附註:	Title from publisher's bibliographic system (viewed on 07 Apr 2022).
內容註:	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.
標題:	Graph theory. -
電子資源:	https://doi.org/10.1017/9781108553995
ISBN:	9781108553995

Symmetry in graphs
Dobson, Ted.

Symmetry in graphs[electronic resource] /Ted Dobson, Aleksander Malnič, Dragan Marušič. - Cambridge ; New York, NY :Cambridge University Press,2022. - xi, 513 p. :ill., digital ;23 cm. - Cambridge studies in advanced mathematics ;198. - Cambridge studies in advanced mathematics ;198..

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: 9781108553995Subjects--Topical Terms:

523815
Graph theory.

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.
650 0 $a Graph theory. $3 523815
650 0 $a Symmetry (Mathematics) $3 629811
700 1 $a Malnič, Aleksander. $3 3645918
700 1 $a Marušič, Dragan. $3 3645919
830 0 $a Cambridge studies in advanced mathematics ; $v 198. $3 3645920
856 4 0 $u https://doi.org/10.1017/9781108553995