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Minimally Invasive Cancer Managementthe sense defined in Section 9.3. Of course a manager respon-sible for the efficient operation of some system will find no comfort in an OR consultant announcing that there is no known algorithm for the problem at hand which will provide an optimal solution in reasonable computional time. Come what

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https://doi.org/10.1007/978-1-4471-4489-2 sciences, in Section 11.1. We begin with brief descriptions of problems, one in physics (the dimer problem) and some in chemistry, along with graph theoretic techniques for their analysis. The major application discussed in this chapter is in the area of biology, and concerns the construction of ev

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Steven N. Hochwald,Moshim Kukarthe construction of earthwork projects. We then go on to the major application of this chapter, which involves the design of urban traffic networks. It represents a major application of digraphs and networks. Further applications of graph theory in civil engineering, involving highway route and pier

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Digraphsy, we now explore the properties of digraphs in their own right, emphasizing those properties which set them apart from their analogous graph theoretic counterparts. We explore digraph connectivity, traversability, matrices, directed trees, the principle of directional duality, and tournaments.

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Miscellaneous Applicationstry and physics (Sections 1.4 and 1.5). In the following chapters we shall discuss in some depth the application of graph theory in a few selected areas: operations research (Chapter 12), electrical engineering (Chapter 13), industrial engineering (Chapter 14), science (Chapter 15), and civil engineering (Chapter 16).

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Civil Engineeringt represents a major application of digraphs and networks. Further applications of graph theory in civil engineering, involving highway route and pier construction planning, are outlined by Chachra et al. (1979).

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