m≡0（mod8）时完全二部图Kn,n的循环m-圈分解

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	m≡0（mod8）时完全二部图Kn,n的循环m-圈分解
	孙雯雯 ; 姬玉荣
刊名	http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jgxb200806032&dbcode=CJFQ&dbname=CJFQ2008
	2012-06-05 ; 2012-06-05
关键词	循环m-圈分解差系统完全二部图型初始圈 cyclic m-cycle decomposition difference system complete bipartite graph type base cycle O157.5
其他题名	Cylic m-cycle decompositions of the complete bipartite graphs Kn,n for m≡0 （mod8）
中文摘要	研究完全二部图Kn,n的循环m-圈分解的存在性问题.利用差的方法构造完全二部图Kn,n的循环m-圈分解的初始圈.对于m≡0(mod8)且m≥8这种情况,证明当n≡0,m/2,m,3m/2(mod2m)时完全二部图Kn,n存在循环m-圈分解;对于m≡0(mod8),m≥8且m/4无平方因子这种情况,证明了完全二部图Kn,n存在循环m-圈分解的充分必要条件是n≡0,m/2(modm).; The existence problem for cyclic m-cycle decompositions of complete bipartite graphs Kn,n is discussed.Different methods are used to construct the base cycles of cyclic m-cycle decompositions in complete bipartite graphs Kn,n.For m≡0(mod8) and m≥8,cyclic m-cycle decompositions of complete bipartite graphs Kn,n are constructed seperately when n≡0,m/2,m and 3m/2(mod2m).It shows that for m≡0(mod8),m≥8 and m/4 square-free,there exists a cyclic m-cycle decomposition of complete bipartite graph Kn,n if and only if n≡0,m/2(modm).; 【作者单位】集美大学理学院；河南理工大学数学与信息科学学院；【作者英文名】SUNWen-wen1,ZHENGYu-ge2(1.College of Science,Jimei University,Xiamen 361000,China;2.School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454003,China)
语种	中文
内容类型	期刊论文
源URL	[http://ir.calis.edu.cn/hdl/235041/15713]
专题	集美大学
推荐引用方式 GB/T 7714	孙雯雯,姬玉荣. m≡0（mod8）时完全二部图Kn,n的循环m-圈分解[J]. http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jgxb200806032&dbcode=CJFQ&dbname=CJFQ2008,2012, 2012.
APA	孙雯雯,&姬玉荣.(2012).m≡0（mod8）时完全二部图Kn,n的循环m-圈分解.http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jgxb200806032&dbcode=CJFQ&dbname=CJFQ2008.
MLA	孙雯雯,et al."m≡0（mod8）时完全二部图Kn,n的循环m-圈分解".http://epub.edu.cnki.net/grid2008/brief/detailj.aspx?filename=jgxb200806032&dbcode=CJFQ&dbname=CJFQ2008 (2012).