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Topics on Tournaments in Graph Theory

John Moon



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Dover Publications Inc.
17 June 2015
Mathematics & Sciences; Combinatorics & graph theory
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.
By:   John Moon
Imprint:   Dover Publications Inc.
Country of Publication:   United States
Dimensions:   Height: 229mm,  Width: 152mm,  Spine: 5mm
Weight:   136g
ISBN:   9780486796833
ISBN 10:   0486796833
Series:   Dover Books on Mathematics
Pages:   112
Publication Date:   17 June 2015
Audience:   College/higher education ,  A / AS level
Format:   Paperback
Publisher's Status:   Unspecified

Frederick Arthur Ficken taught mathematics at New York University. His other books include Linear Transformations and Matrices.

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