Symmetry in graphs
by Dobson, Ted
"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 an…
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- Full title :Symmetry in graphs / Ted Dobson, Aleksander Malnič, Dragan Marušič.
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'.
Read More ↓Edition Statements
- Publication Date:2022
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge [etc.]
- Language:eng
- Publication Date:2022
The Physical Object
- Description:xi, 513 p. ; : 24 cm
Edition Identifiers
- ISBN:9781108429061, 1108429068
- oclc:on1336007989
- Dewey Decimal:511.5
Table of 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.
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