Digraphs : theory, algorithms and applications
著者
書誌事項
Digraphs : theory, algorithms and applications
(Springer monographs in mathematics)
Springer-Verlag, c2001
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注記
Bibliography: p. [683]-715
Includes indexes
内容説明・目次
内容説明
The study of directed graphs is presented in this title as a unified survey of the subject. In addition to covering the theoretical aspects, including detailed proofs of many important results, the authors present a number of algorithms and applications. The applications of digraphs and their generalizations include, among other things, developments in the "Travelling Salesman Problem", genetics and network connectivity. More than 700 exercises and 180 figures are covered to help readers to study the topic while open problems and conjectures are intended to inspire further research.
目次
Basic Terminology, Notation and Results.- Distances.- Flows in Networks.- Classes of Digraphs.- Hamiltonicity and Related Problems.- Hamiltonian Refinements.- Global Connectivity.- Orientations of Graphs.- Disjoint Paths and Trees.- Cycle Structure of Digraphs.- Generalizations of Digraphs.- Additional Topics.- References.- Symbol Index, Author Index, Subject Index.
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