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.

引用

页码：517 / 528

页数：12

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