This comprehensive text features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. It covers the major areas of graph theory, including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions

William Kocay is a professor in the Department of Computer Science at St. Paul's College of the University of Manitoba, Canada.
Donald Kreher is a professor of mathematical sciences at Michigan Technological University, Houghton, Michigan.

Preface; 1 Graphs and Their Complements; 2 Paths and Walks; 3 Subgraphs; 4 Some Special Classes of Graphs; 5 Trees and Cycles; 6 The Structure of Trees; 7 Connectivity; 8 Graphs and Symmetry; 9 Alternating Paths and Matchings; 10 Network Flows; 11 Hamilton Cycles; 12 Digraphs; 13 Graph Colorings; 14 Planar Graphs; 15 Graphs and Surfaces; 16 The Klein Bottle and the Double Torus; 17 Linear Programming; 18 The Primal-Dual Algorithm; 19 Discrete Linear Programming; Bibliography; Index