Graphs, Algorithms, and Optimization: 2nd Edition (Hardback) book cover

Graphs, Algorithms, and Optimization

2nd Edition

By William Kocay, Donald L. Kreher

Chapman and Hall/CRC

546 pages | 302 B/W Illus.

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pub: 2016-09-26
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Description

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.

 

Table of Contents

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

About the Authors

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.

About the Series

Discrete Mathematics and Its Applications

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Subject Categories

BISAC Subject Codes/Headings:
BUS049000
BUSINESS & ECONOMICS / Operations Research
COM046000
COMPUTERS / Operating Systems / General
COM051300
COMPUTERS / Programming / Algorithms
MAT000000
MATHEMATICS / General
MAT036000
MATHEMATICS / Combinatorics