One application of digraphs is in the scheduling of Compound activities, ones that are made up of various tasks. One easy example is building a house. There are several different tasks — roofing, assembling walls, carpeting and so on. Sometimes there is a strict priority relationship (you cannot lay carpet until the floors are done); sometimes the tasks are independent (carpeting can be done before, after or during the exterior painting). We shall assume that these are the only possibilities: given two tasksa andb, either onemust precede the other or they are independent.

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Authors and Affiliations

1. Department of Mathematics, Southern Illinois University, Carbondale, IL, 62901-4408, USA

   W. D. Wallis

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© 2007 Second Edition, Birkhäuser Boston

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