A Cyclic Solution for an Infinite Class of Hamilton-Waterloo Problems

被引：14

作者：

Buratti, Marco ^{[1
]}

Danziger, Peter ^{[2
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, Via Vanvitelli 1, I-06123 Perugia, Italy

[2] Ryerson Univ, Dept Math, 350 Victoria St, Toronto, ON M5B 2K3, Canada

来源：

GRAPHS AND COMBINATORICS | 2016年 / 32卷 / 02期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Two-factorization; Waterloo problem; Skolem sequence; Group action; COMPLETE GRAPH; 2-FACTORIZATIONS; SYSTEMS;

D O I：

10.1007/s00373-015-1582-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main result of this paper is the explicit construction, for any positive integer n, of a cyclic two-factorization of with two-factors consisting of five -cycles and each of the remaining two-factors consisting of all pentagons. Then, applying suitable composition constructions, we obtain a few other two-factorizations also having two-factors of two distinct types.

引用

页码：521 / 531

页数：11

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