This is the first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory. Suitable for graduate students, it goes from basic material on vertex-transitive graphs and permutation group theory right up to the field's major open problems, and includes many examples and exercises illustrating the theory.
This is the first full-length book on the theme of symmetry in graphs, a fast-growing topic in algebraic graph theory. Suitable for graduate students, it goes from basic material on vertex-transitive graphs and permutation group theory right up to the field's major open problems, and includes many examples and exercises illustrating the theory.
Ted Dobson is Professor at the University of Primorska, Slovenia.
Inhaltsangabe
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.
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.
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