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Topics on Tournaments in Graph Theory (Dover Books on Mathematics) (Paperback)

Topics on Tournaments in Graph Theory (Dover Books on Mathematics) By John W. Moon Cover Image
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Tournaments, in this context, are directed graphs ― an important and interesting topic in graph theory. This concise volume collects a substantial amount of information on tournaments from throughout the mathematical literature. Suitable for advanced undergraduate students of mathematics, the straightforward treatment requires a basic familiarity with finite mathematics.
The fundamental definitions and results appear in the earlier sections, and most of the later sections can be read independently of each other. Subjects include irreducible and strong tournaments, cycles and strong subtournaments of a tournament, the distribution of 3-cycles in a tournament, transitive tournaments, sets of consistent arcs in a tournament, the diameter of a tournament, and the powers of tournament matrices. Additional topics include scheduling a tournament and ranking the participants, universal tournaments, the use of oriented graphs and score vectors, and many other subjects.

About the Author

John W. Moon is Professor Emeritus at the University of Alberta.

Product Details
ISBN: 9780486796833
ISBN-10: 0486796833
Publisher: Dover Publications
Publication Date: June 17th, 2015
Pages: 112
Language: English
Series: Dover Books on Mathematics