[1]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):74-80.[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(3):74-80.[doi:10.3969/j.issn.1001-0505.1989.03.011]
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有向图中弧数和最长回路()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
19
期数:
1989年第3期
页码:
74-80
栏目:
本刊信息
出版日期:
1989-05-20

文章信息/Info

Title:
Number of Arcs and Longest Gycles in Digraph
作者:
宋增民
东南大学数学力学系
Author(s):
Song Zengmin (Department of Mathematics and Mechanics)
关键词:
有向图 次/回路 弧数
Keywords:
digraph degree/cycle number of arcs
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1989.03.011
摘要:
设 D 是阶为2r+3的强连通有向图,最小内次和外次至少 r(≥2).本文证明了:若 D 中至少含有3r~2+6r+3条弧,则 D 含有长至少2r+2的回路.这部分说明了 Heydemann 和 Sotteau 提出的一个猜测成立.
Abstract:
Let D be a strong digraph of order 2r+3 and the minimum indegree and outdegree at least r(≥2).The paper proves that,if D contains at least 3r~2+6r+3 arcs,then D contains a cycle of length at least 2r+2.This partia- lly shows that a conjecture proposed by Heydemann and Sotteau holds.

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(3):91.[doi:10.3969/j.issn.1001-0505.1990.01.013]
[2]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.[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(3):121.[doi:10.3969/j.issn.1001-0505.1987.02.013]
[3]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(3):133.[doi:10.3969/j.issn.1001-0505.1987.04.015]
[4]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(3):60.[doi:10.3969/j.issn.1001-0505.1987.05.007]

更新日期/Last Update: 2013-04-30