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Abstract

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 tasks a and b either one must precede the other or they are independent.

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© 2000 Springer Science+Business Media New York

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Wallis, W.D. (2000). Critical Paths. In: A Beginner’s Guide to Graph Theory. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-3134-7_11

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  • DOI: https://doi.org/10.1007/978-1-4757-3134-7_11

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4757-3136-1

  • Online ISBN: 978-1-4757-3134-7

  • eBook Packages: Springer Book Archive

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