Open Access
October 2011 Win-Loss Sequences for Generalized Roundrobin Tournaments
Arthur Holshouser, John W. Moon, Harold Reiter
Missouri J. Math. Sci. 23(2): 142-150 (October 2011). DOI: 10.35834/mjms/1321045142

Abstract

In a tournament, each of $n$ teams wins or loses against each of the other $n-1$ teams $c$ times. If team $i$ wins a total of $w_i$ games, then the sequence $( w_1, w_2, \ldots , w_n )$ is called the score sequence of the tournament. In this paper we give necessary and sufficient conditions on a sequence in order that it be a score sequence for a tournament.

Citation

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Arthur Holshouser. John W. Moon. Harold Reiter. "Win-Loss Sequences for Generalized Roundrobin Tournaments." Missouri J. Math. Sci. 23 (2) 142 - 150, October 2011. https://doi.org/10.35834/mjms/1321045142

Information

Published: October 2011
First available in Project Euclid: 11 November 2011

zbMATH: 1247.05090
MathSciNet: MR2920061
Digital Object Identifier: 10.35834/mjms/1321045142

Subjects:
Primary: 05C20‎

Rights: Copyright © 2011 Central Missouri State University, Department of Mathematics and Computer Science

Vol.23 • No. 2 • October 2011
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