[1]宋增民.二部竞赛图中互补的回路[J].东南大学学报(自然科学版),1988,18(5):32-38.[doi:10.3969/j.issn.1001-0505.1988.05.005]
 Song Zengmin (Department of Mathematics and Mechanics).The Complementary Cycle in Bipartite Tournament[J].Journal of Southeast University (Natural Science Edition),1988,18(5):32-38.[doi:10.3969/j.issn.1001-0505.1988.05.005]
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二部竞赛图中互补的回路()
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《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
18
期数:
1988年第5期
页码:
32-38
栏目:
本刊信息
出版日期:
1988-09-20

文章信息/Info

Title:
The Complementary Cycle in Bipartite Tournament
作者:
宋增民
南京工学院数学力学系
Author(s):
Song Zengmin (Department of Mathematics and Mechanics)
关键词:
二部竞赛图 回路 互补
Keywords:
bipartite tournament cycle complementary
分类号:
+
DOI:
10.3969/j.issn.1001-0505.1988.05.005
摘要:
设R=(X,Y,A)是一个二部竟赛图,|X|=|Y|=2k+1,k≥4,如果δ^-=k,δ^+=k,则对R中任一指定点x,R中存在一对点不相交的回路C_1和C_2,其长之和为4k+2,C_1包含点x且|V(C_1)|≤6,除非R同构于R(k+1,k+1,k,k)。
Abstract:
Let R=(X, Y, A) be a bipartite tournament, |X|=|Y|=2k+1 and k≥4. If the minimum in-degree and out-degree of R are k, then for any vertex x in R, R contains a pair of vertexdisjoint cycles C_1 and C_2 which include all vertices, C_1 contains the vertex x and |V(C_1)|≤6, unless R isomorph to R(k+1, k+1, k, k).

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更新日期/Last Update: 2013-04-30