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...

Ausführliche Beschreibung

Bibliographische Detailangaben

Beteiligte Personen:	Dobson, Ted 1965- (VerfasserIn), Malnič, Aleksander 1954- (VerfasserIn), Marušič, Dragan 1953- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cambridge ; New York, NY Cambridge University Press 2022
Schriftenreihe:	Cambridge studies in advanced mathematics 198
Schlagwörter:	Graph theory Symmetry (Mathematics) Petersen-Graph Symmetriegruppe Symmetrie Algebraische Graphentheorie
Links:	https://doi.org/10.1017/9781108553995 https://doi.org/10.1017/9781108553995 https://doi.org/10.1017/9781108553995 https://doi.org/10.1017/9781108553995 https://doi.org/10.1017/9781108553995
Zusammenfassung:	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
Beschreibung:	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
Umfang:	1 Online-Ressource (xi, 513 Seiten)
ISBN:	9781108553995
DOI:	10.1017/9781108553995