Algorithmic Graph Theory

An introduction to pure and applied graph theory with an emphasis on algorithms and their complexity.

Alan Gibbons (Author)

9780521288811, Cambridge University Press

Paperback, published 27 June 1985

272 pages
23.1 x 15.5 x 1.8 cm, 0.42 kg

'Alan Gibbons' book … succeeds admirably.' The Times Higher Education Supplement

This is a textbook on graph theory, especially suitable for computer scientists but also suitable for mathematicians with an interest in computational complexity. Although it introduces most of the classical concepts of pure and applied graph theory (spanning trees, connectivity, genus, colourability, flows in networks, matchings and traversals) and covers many of the major classical theorems, the emphasis is on algorithms and thier complexity: which graph problems have known efficient solutions and which are intractable. For the intractable problems a number of efficient approximation algorithms are included with known performance bounds. Informal use is made of a PASCAL-like programming language to describe the algorithms. A number of exercises and outlines of solutions are included to extend and motivate the material of the text.

Preface
1. Introducing graphs and algorithmic complexity
2. Spanning-trees, branchings and connectivity
3. Planar graphs
4. Networks and flows
5. Matchings
6. Eulerian and Hamiltonian tours
7. Colouring graphs
8. Graph problems and intractability
Appendix
Author Index
Subject Index.

Subject Areas: Combinatorics & graph theory [PBV]