Maximal sets of triangle-factors on v = 6m+3 vertices

被引：0

作者：

Rees, RS ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada

来源：

JOURNAL OF COMBINATORIAL DESIGNS | 1998年 / 6卷 / 05期

关键词：

graphs; group-divisible designs; frame-resolvability;

D O I：

10.1002/(SICI)1520-6610(1998)6:5<309::AID-JCD1>3.0.CO;2-J

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the necessary condition m + 1 less than or equal to k less than or equal to 3m + 1 that there exist a maximal set of k triangle-factors on 6m + 3 greater than or equal to 15 vertices is also sufficient, except possibly when k = m + 1, or when 6m + 3 is an element of{45, 57, 69, 81, 93, 237, 261, 309, 333, 381}. (C) 1998 John Wiley & Sons, Inc.

引用

页码：309 / 323

页数：15

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