DIRECTED STAR DECOMPOSITIONS OF THE COMPLETE DIRECTED GRAPH

被引：2
|
作者：
COLBOURN, CJ
HOFFMAN, DG
RODGER, CA
机构：
[1] Department of Algebra Combinatorics and Analysis, Auburn University, Auburn, Alabama
来源：
JOURNAL OF GRAPH THEORY | 1992年 / 16卷 / 05期
关键词：
D O I：
10.1002/jgt.3190160511
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An (s, t)-directed star is a directed graph with s + t + 1 vertices and s + t arcs; s vertices have indegree zero and outdegree one, t have indegree one and outdegree zero, and one has indegree s and outdegree t. An (s, t)-directed star decomposition is a partition of the arcs of a complete directed graph of order n into (s, t)-directed stars. We establish necessary and sufficient conditions on s, t, and n for an (s, t)-directed star decomposition of order n to exist.
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页码：517 / 528
页数：12
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