ABSTRACT

The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs.

 

 

chapter 1|22 pages

Graphs and Their Complements

chapter 2|22 pages

Paths and Walks

chapter 3|12 pages

Subgraphs

chapter 4|16 pages

Some Special Classes of Graphs

chapter 5|24 pages

Trees and Cycles

chapter 6|28 pages

The Structure of Trees

chapter 7|22 pages

Connectivity

chapter 8|22 pages

Graphs and Symmetry

chapter 9|24 pages

Alternating Paths and Matchings

chapter 10|24 pages

Network Flows

chapter 11|34 pages

Hamilton Cycles

chapter 12|20 pages

Digraphs

chapter 13|34 pages

Graph Colorings

chapter 14|54 pages

Planar Graphs

chapter 15|66 pages

Graphs and Surfaces

chapter 16|26 pages

The Klein Bottle and the Double Torus

chapter 17|28 pages

Linear Programming

chapter 18|28 pages

The Primal-Dual Algorithm

chapter 19|20 pages

Discrete Linear Programming