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1)  locally k-connected
局部k-连通
2)  locally k-connected graph
局部k-连通图
3)  local weak k-submesh connectivity
局部k-Mesh子网弱连通的
4)  Locally connected
局部连通
1.
Devoted to the study on the theory of H-connected space,which has been investigated by Jungck [1] in detail,we first give Jungck’s theorem another proof free from Whyburn [2] ,and then give another theorem in which“compact”hypothesis in Jungck’s theorem is replaced by the locally connected one.
其次对局部连通的H -连通空间得到了同样的定理 :有限个具有第一可数性质的局部连通的H -连通空间的乘积空间是H -连通空间 。
2.
It is proved that if G is conected, locally connected graph on at least three vertices such that the set of claw centers is independent, and if the subgraph induced by the neighbor of v is strong 2-dominated for any claw centre v , then G is fully cycle extendable.
设G是顶点数不少于3的连通、局部连通图。
3.
In this paper, we prove that if G is connected, locally connected graph on at least three vertices such that the set of claw centres B is independent, and if G-B is locally connected, then G is fully cycle extendable.
本文将证明:设G是顶点数≥3的连通、局部连通图,如果G的爪心集合B是点独立集,且G-B是局部连通的,则G是完全圈可扩的。
5)  extended local k-subcube-connectivity
扩展的局部k-维子立方体的连通性
6)  locally connected graph
局部连通图
补充资料:局部连通连续统


局部连通连续统
locally connected continuum

局部连通连续统【l优心y戊.脸的ed切“加.口.;加以几研。eaa3.诚.oT恤y外,」 一个连续统,它是局部连通空间(】以川ly coIL以戈IedsPace),局部连通连续统的例子有n维立方体,n=O,l,…,1刃七鱿立方体(Hilbertcube),和所有介-xo肋.立方体(T正honov CUbe),函数 ,一sin上.0<二簇1. X的图象和区间I={(0,y):一1镬夕簇l}的并集给出了(在I的点上)不是局部连通的连续统的例子.可度量化连续统是局部连通的,当且仅当它是Jo攻恤n意义下的曲线(见线(曲线)(h茂(Cun尼))).任何可度量化局部连通连续统都是道路连通的(见道路连通空间(path一conn以众沮sPaCe)).此外,这种连续统K的任意不同两点都包含于K中一条简单弧上. B.A.nac‘HK佃撰白苏华、胡师度译
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