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Networks and algorithms: an introductory approach. (English) Zbl 0839.90130
Chichester: Wiley. 544 p. $ 99.00/hbk; $ 42.95/pbk (1993).
Publisher’s description: The authors provide a comprehensive introduction to this topic and its many applications. Detailed solution procedures (usually in the form of an algorithm) are given to a wide range of central network problems. There is also a discussion of the time complexity of algorithms and the theory of NP-completeness. An early chapter provides the basic graph theory required for a study of networks. The presentation, clarity and arrangement of the material make it ideal for independent study as well as for use with conventional teaching. Algorithms are worked through, step-by-step, and problems (with fully worked solutions) are regularly provided to enable students to test and reinforce their learning.
Contents: Graphs and digraphs. Flows in basic networks. Variations on the basic flow problem. Multi-terminal flows. Paths and connectivity. Longest and shortest path algorithms. Trees. Physical networks: Modeling. Electrical networks: Matrix equations. Electrical networks: solving the equations. Matching problems. The assignment problem. The transportation problem. Critical path analysis. Scheduling. Packing problems. Location problems. Theory of network analysis. Algorithms and NP-completeness. Suggestions for further reading. Solutions to problems in the text. Index.

MSC:
90C35 Programming involving graphs or networks
90B80 Discrete location and assignment
90-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming
90C10 Integer programming
90C27 Combinatorial optimization
90C60 Abstract computational complexity for mathematical programming problems
90B10 Deterministic network models in operations research
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