[1]宋增民.有向图中弧数和回路[J].东南大学学报(自然科学版),1987,17(2):121-125.[doi:10.3969/j.issn.1001-0505.1987.02.013]
 Song Zhenmin(Department of Mathematics and Mechanics).Number of Arcs and Cycles in Digraphs[J].Journal of Southeast University (Natural Science Edition),1987,17(2):121-125.[doi:10.3969/j.issn.1001-0505.1987.02.013]
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有向图中弧数和回路()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
17
期数:
1987年第2期
页码:
121-125
栏目:
本刊信息
出版日期:
1987-03-20

文章信息/Info

Title:
Number of Arcs and Cycles in Digraphs
作者:
宋增民
南京工学院数学力学系
Author(s):
Song Zhenmin(Department of Mathematics and Mechanics)
关键词:
有向图 弧数 回路
Keywords:
digraph number of arcs cycles
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1987.02.013
摘要:
本文部分解决了Heydemann等提出的一个猜想。也就是证明了每一阶为n的强连通有向图D,如果最小半次至少为3,至少n~2-6n+21条弧,则D存在长至少n-1的回路。
Abstract:
The author partially solves a conjecture of Heydemann M. C. etc. i. e., proves that every strong digraph of ordern contains a cycle of length at least n-1, if it is of minimum half-degree at least 3 and at least n~2-6n+21 arcs.

相似文献/References:

[1]宋增民,宋继成.有向图中路和弧数[J].东南大学学报(自然科学版),1990,20(1):91.[doi:10.3969/j.issn.1001-0505.1990.01.013]
 Song Zengmin,Song Jicheng,Song Jicheng.Paths and number of arcs in digraphs[J].Journal of Southeast University (Natural Science Edition),1990,20(2):91.[doi:10.3969/j.issn.1001-0505.1990.01.013]
[2]宋增民.有向图中最长路或圈[J].东南大学学报(自然科学版),1987,17(4):133.[doi:10.3969/j.issn.1001-0505.1987.04.015]
 Song Zengmin(Department of Mathematics and Mechanics).The Longest Path or Cycle in Digraph[J].Journal of Southeast University (Natural Science Edition),1987,17(2):133.[doi:10.3969/j.issn.1001-0505.1987.04.015]
[3]宋增民.关于有向图的回路性质[J].东南大学学报(自然科学版),1987,17(5):60.[doi:10.3969/j.issn.1001-0505.1987.05.007]
 Song Zengmin (Department of Mathematics and Mechanics).About Some Cyclic Properties in Digraphs[J].Journal of Southeast University (Natural Science Edition),1987,17(2):60.[doi:10.3969/j.issn.1001-0505.1987.05.007]
[4]宋增民.有向图中弧数和最长回路[J].东南大学学报(自然科学版),1989,19(3):74.[doi:10.3969/j.issn.1001-0505.1989.03.011]
 Song Zengmin (Department of Mathematics and Mechanics).Number of Arcs and Longest Gycles in Digraph[J].Journal of Southeast University (Natural Science Edition),1989,19(2):74.[doi:10.3969/j.issn.1001-0505.1989.03.011]

更新日期/Last Update: 2013-05-01