On the Existence of Elementary Abelian Cycle Systems

被引：4

作者：

Benini, Anna ^{[1
]}

Pasotti, Anita ^{[1
]}

机构：

[1] Univ Brescia, Dipartimento Matemat, Fac Ingn, I-25133 Brescia, Italy

来源：

GRAPHS AND COMBINATORICS | 2009年 / 25卷 / 01期

关键词：

(regular) (i-perfect) cycle system; Partial i-differences; COMPLETE GRAPH; DECOMPOSITIONS;

D O I：

10.1007/s00373-008-0826-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present some necessary and/or sufficient conditions for the existence of an elementary abelian cycle system of the complete graph. We propose a construction for some classes of perfect elementary abelian cycle systems. Finally we consider elementary abelian k-cycle systems of the complete multipartite graph.

引用

页码：1 / 14

页数：14

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