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Perceptively written text examines optimization problems that can be formulated in terms of networks and algebraic structures called matroids. Chapters cover shortest paths, network flows, bipartite matching, nonbipartite matching, matroids and the greedy algorithm, matroid intersections, and the matroid parity problems. A suitable text or reference for courses in combinatorial computing.
Preface Chapter 1 INTRODUCTION Chapter 2 MATHEMATICAL PRELIMINARIES Chapter 3 SHORTEST PATHS Chapter 4 NETWORK FLOWS Chapter 5 BIPARTITE MATCHING Chapter 6 NONBIPARTITE MATCHING Chapter 7 MATROIDS AND THE GREEDY ALGORITHM Chapter 8 MATROID INTERSECTIONS Chapter 9 THE MATROID PARITY PROBLEM Author Index Subject Index
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