Symmetry in Graphs

Erscheinungsjahr 2022
ISBN: 978-1-108-42906-1
Verlag: Cambridge University Press

Buch, Englisch, Band 198, 450 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 904 g

Reihe: Cambridge Studies in Advanced Mathematics

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.

Autoren/Hrsg.

Dobson, Ted

Malni¿, Aleksander

Malnic, Aleksander

Maru¿i¿, Dragan

Marušic, Dragan

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Algebra
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Informationstheorie, Kodierungstheorie

Inhaltsverzeichnis

1. Introduction and constructions; 2. The Petersen graph, blocks, and actions of A5; 3. Some motivating problems; 4. Graphs with imprimitive automorphism group; 5. The end of the beginning; 6. Other classes of graphs; 7. The Cayley isomorphism problem; 8. Automorphism groups of vertex-transitive graphs; 9. Classifying vertex-transitive graphs; 10. Symmetric graphs; 11. Hamiltonicity; 12. Semiregularity; 13. Graphs with other types of symmetry: Half-arc-transitive graphs and semisymmetric graphs; 14. Fare you well; References; Author index; Index of graphs; Index of symbols;Index of terms.

Über Autor(innen)

Dobson, Ted
Ted Dobson is Professor at the University of Primorska, Slovenia.

Marušic, Dragan
Dragan Marušic is Professor at the University of Primorska, Slovenia and the founder of the Slovenian school in Algebraic Graph Theory.

Malnic, Aleksander
Aleksander Malnic is Professor at the University of Ljubljana.