Symmetry in graphs / Ted Dobson, Aleksander Malnič, Dragan Marušič.

Format:

Book

Author/Creator:

Dobson, Ted (Edward Tauscher), author.

Malnič, Aleksander, author.

Marušič, D. (Dragan), author.

Series:

Cambridge studies in advanced mathematics ; 198.

Cambridge studies in advanced mathematics ; 198

Language:

English

Subjects (All):

Graph theory.

Symmetry (Mathematics).

Physical Description:

xi, 513 pages : illustrations ; 24 cm.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.

Summary:

"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 with 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"-- Provided by publisher.

Contents:

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.

Notes:

Includes bibliographical references and indexes.

Other Format:

Online version: Dobson, Ted (Edward Tauscher) Symmetry in graphs

ISBN:

9781108429061

1108429068

OCLC:

1284981535