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2t名运动员的循环赛和对集的划分
引用本文:侴万禧.2t名运动员的循环赛和对集的划分[J].安徽理工大学学报(自然科学版),2006,26(1):64-69.
作者姓名:侴万禧
作者单位:安徽理工大学土木工程系,安徽,淮南,232001
摘    要:提出了乒乓球单打比赛安排问题,并给出了此类问题的求解方法.阐明了将Kv中的v(v-1)/2个边划分为v-1个对集的基本理论,证明了关于对集构造及其个数计算的命题,从而为不同构的v阶Steiner三连系个数问题的求解奠定了基础.

关 键 词:对集  不同构  比赛安排  完全图  构造  循环赛
文章编号:1672-1098(2006)01-0064-06
收稿时间:2005-04-27
修稿时间:2005年4月27日

2t Players Round-robin Tournament and Duplet Sets Partitions
CHOU Wan-xi.2t Players Round-robin Tournament and Duplet Sets Partitions[J].Journal of Anhui University of Science and Technology:Natural Science,2006,26(1):64-69.
Authors:CHOU Wan-xi
Institution:Dept. of Civil Engineering, Anhui University of Science and Technology, Huainan Anhui 232001,China
Abstract:The problem concerning arrangement of table tennis players singles competition is put forward.The method of solving such problems is given.The basic concept of partitioning v(v-1)/2 edges of K_vinto v-1 duplet sets is described.The lemmas concerning duplet sets construction and duplet sets number calculation are proved.Consequently a foundation is laid for solution of non-isomorphic Steiner triple systems numbers problem.
Keywords:duplet sets  non-isomorphic  competition arrangement  complete graph  construction  round robin tournament
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