Algebraic Graph Theory - Brossura

Biggs, Norman

Brossura

ISBN 10: 0521458978 ISBN 13: 9780521458979

Casa editrice: Cambridge University Press, 1994

Riassunto

A revision of an important textbook: essential reading for all combinatorialists.

Su questo libro

Descrizione del libro

In this substantial revision of his excellent book, Professor Biggs has taken the opportunity to clarify and update the text, whilst leaving the structure unchanged. Like the first edition, this will be essential reading for all combinatorialists.

Contenuti

1. Introduction to algebraic graph theory; Part I. Linear Algebra in Graphic Thoery: 2. The spectrum of a graph; 3. Regular graphs and line graphs; 4. Cycles and cuts; 5. Spanning trees and associated structures; 6. The tree-number; 7. Determinant expansions; 8. Vertex-partitions and the spectrum; Part II. Colouring Problems: 9. The chromatic polynomial; 10. Subgraph expansions; 11. The multiplicative expansion; 12. The induced subgraph expansion; 13. The Tutte polynomial; 14. Chromatic polynomials and spanning trees; Part III. Symmetry and Regularity: 15. Automorphisms of graphs; 16. Vertex-transitive graphs; 17. Symmetric graphs; 18. Symmetric graphs of degree three; 19. The covering graph construction; 20. Distance-transitive graphs; 21. Feasibility of intersection arrays; 22. Imprimitivity; 23. Minimal regular graphs with given girth; References; Index.

Dettagli dell?edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 1994
• ISBN 10: 0521458978
• ISBN 13: 9780521458979
• Rilegatura: Copertina flessibile
• Lingua: Inglese
• Numero edizione: 2
• Numero di pagine: 214
• Contatto del produttore: non disponibile