[1]米晓兰,曹海涛.一些OP2(3a,sb)的存在性结果[J].南京师范大学学报(自然科学版),2009,32(02):25-30.
 Mi Xiaolan,Cao Haitao.Some Results on the Oberwolfach Problem OP2(3a,sb)[J].Journal of Nanjing Normal University(Natural Science Edition),2009,32(02):25-30.
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一些OP2(3a,sb)的存在性结果()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第32卷
期数:
2009年02期
页码:
25-30
栏目:
数学
出版日期:
2009-06-30

文章信息/Info

Title:
Some Results on the Oberwolfach Problem OP2(3a,sb
作者:
米晓兰;曹海涛;
南京师范大学数学科学学院, 江苏南京210097
Author(s):
Mi XiaolanCao Haitao
School of Mathematical Science,Nanjing Normal University,Nanjing 210097,China
关键词:
Obe rwo lfach问题 圈可分组设计 圈支架
Keywords:
Obe rwo lfach prob lem cyc le g roup div is ible des ign cycle fram e
分类号:
O157.2
摘要:
主要讨论二重广义Oberwolfach问题OP2(3a,sb)的存在性.运用不完全可分解圈设计和圈支架的递推构造方法以及加法群作用的直接构造方法,证明了对任意的1≤b≤3和s=4,5都存在OP2(3a,sb)
Abstract:
In th is paper, we consider the genera lization o f the Oberw olfach problem OP2(3a,sb).W e sha ll app ly bo th recursive constructions using incomp le te resolvab le cy cle
desigsn and cyc le fram es and direct constructions using certa in add itive g roup to prov e tha t the necessa ry conditions for the ex istence o f OP2(3a,sb) w ith 1[ b[ 3 and s= 4, 5 are a lso sufficient.

参考文献/References:

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备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 10501023, 60673070)资助项目.
通讯联系人: 曹海涛, 博士, 副教授, 研究方向: 组合设计. E-m ail:caohaitao@ njnu. edu. cn
更新日期/Last Update: 2013-04-23