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.
John Moon Imprint: Dover Publications Inc. Country of Publication: United States Dimensions:
Weight: 136g ISBN: 9780486796833 ISBN 10: 0486796833 Series:Dover Books on Mathematics Pages: 112 Publication Date: 17 June 2015 Audience:
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.