梁志和.完全有向图的奇长圈覆盖(英文)[J].数学研究及应用,2002,22(3):396~400 |
完全有向图的奇长圈覆盖(英文) |
Minimum Coverings of Complete Directed Graphs with Odd Size Circuits |
投稿时间:1999-06-21 |
DOI:10.3770/j.issn:1000-341X.2002.03.013 |
中文关键词: |
英文关键词:m-circuits covering number complete directed graph. |
基金项目: |
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中文摘要: |
设DKv表示完全有向对称图,C(v,m)表示覆盖DKv的m长有向圈的最小圈数(称为覆盖数).对任意正整数m和v,当m≤v≤m+6时,覆盖数C(v,m) 被确定. |
英文摘要: |
Let DKv denote the symmetric complete directed graph with v vertices, the covering number C(v,m) is a minimum number of covering DKv by m-circuits. In this paper, C(v,m) is determined for any fixed odd positive integer m and positive integer v, m ≤ v ≤ m + 6. |
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