一类纯的Mendelsohn三元系大集

A Class of Large Sets of Pure Mendelsohn Triple Systems

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摘要 LPMTS(v)是同一个v元集上v-2个互不相交的纯的Mendelsohn三元系的集合.本文利用t-可纯划分的Mendelsohn烛台系给出LPMTS(v)的一个构造,并建立v≡15(mod 36)时LPMTS(v)的存在性. An LPMTS （v） is a collection v - 2 disjoint pure Mendelsohn triple systems on the same set of v elements. In this paper, we employ t- purely partitionable Mendelsohn candlabra systems to display a construction for LPMTS （v）. Then we establish the existence of an LPMTS （v） for v≡15 （mod 36）.

作者周君灵

机构地区北京交通大学理学院

出处《北京交通大学学报》 EI CAS CSCD 北大核心 2007年第3期31-34,共4页 JOURNAL OF BEIJING JIAOTONG UNIVERSITY

关键词大集 MENDELSOHN三元系烛台系 large set Mendelsohn triple system candelabra system

分类号 O157.5 [理学—基础数学]

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共引文献8

1Zi-hong TIAN~(1+) Li-jun JI~2 ~1 Institute of Mathematics,Hebei Normal University,Shijiazhuang 050016,China,~2 Department of Mathematics,Suzhou University,Suzhou 215006,China.The spectrum for overlarge sets of directed triple systems[J].Science China Mathematics,2007,50(10):1369-1381. 被引量：3
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一类纯的Mendelsohn三元系大集

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