DIRECTED STAR DECOMPOSITIONS OF DIRECTED MULTIGRAPHS

被引:4
|
作者
COLBOURN, CJ
HOFFMAN, DG
RODGER, CA
机构
[1] Department of Algebra, Combinatorics and Anlysis, Auburn University, Auburn, AL 36849-5307
基金
加拿大自然科学与工程研究理事会; 美国国家科学基金会;
关键词
D O I
10.1016/0012-365X(91)90428-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
An (s, t)-directed star decomposition of a directed multigraph is a partition of the arcs into directed stars, each having s arcs into the center and t arcs out of the center. We determine necessary and sufficient conditions for a directed complete multigraph to have an (s, t)-directed star decomposition. We further determine necessary and sufficient conditions for a regular directed symmetric graph to have such a decomposition in which each vertex is the center of the same number of stars.
引用
收藏
页码:139 / 148
页数:10
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