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.
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页码：521 / 531
页数：11
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