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1)  vertex-neighbor-integrity
邻域完整度
1.
It was proved by Gambrell that the decision prob- lem of computing the vertex-neighbor-integrity of a graph is NP-complete.
记幸存子图为G/X,G的邻域完整度定义为VNI(G)=min(|X|+r(G/X)},其中τ(G/X)表示G/X的最大连通分支所含顶点数。
2.
By using the quadratic integer programming method,the problem about the maximal edge number of a graph with a fixed vertex-neighbor-integrity is studied.
本文用二次整数规划法研究给定邻域完整度的图可能具有的最大边数问题。
3.
The vertex-neighbor-integrity of G is (defined) to be VNI(G)=(min)SV(G){|S+m(G/S)},where S is any vertex subversion strategy of G and m(G/S) is the maximum order of the component of G/S.
讨论了顺次联图邻域完整度的一些性质。
2)  vertex neighbor-integrity
点邻域完整度
1.
In this paper,the tree of vertex neighbor-integrity with 1,2 are been characterized.
G的点邻域完整度VNI(G)定义为:VNI(G)=mins V(G){|S|+ω(G/S)},S是G的任意的点颠覆策略,ω(G/S)是G/S的最大连通分支的阶。
2.
Graph of vertex neighbor-integrity and edge vertex neighbor-integrity with 1,2;
G的点邻域完整度VNI(G)定义为:VNI(G)=minS V(G){|S|+ω(G/S)},S是G的任意的点颠覆策略,ω(G/S)是G/S的最大连通分支的阶。
3)  edge-neighbor-integrity
边邻域完整度
1.
Research on the edge-neighbor-integrity of a graph;
关于图的边邻域完整度若干问题的研究
2.
By use of the edge-neighbor-integrity of graph G, this paper discusses the bound of the neighbor-integrity of line graph( L(G).
利用图的边邻域完整度,讨论了其线图的邻域完整度的界,得到了以下主要结果:①设β(G)为图G的边独 立数,则VNI(L(G))≤β(G);②对于任意连通图G,有VNI(L(G))≥ENI(G)-1,且此下界可达到。
4)  vertex(edge)-neighbor-integrity
点(边)邻域完整度
5)  neighbor-integrity set
邻域完整集
6)  Vertex-neighbor-integrity of Joined Graphs
联图的邻域完整度
补充资料:超导电性的局域和非局域理论(localizedandnon-localizedtheoriesofsuperconductivity)
超导电性的局域和非局域理论(localizedandnon-localizedtheoriesofsuperconductivity)

伦敦第二个方程(见“伦敦规范”)表明,在伦敦理论中实际上假定了js(r)是正比于同一位置r的矢势A(r),而与其他位置的A无牵连;换言之,局域的A(r)可确定该局域的js(r),反之亦然,即理论具有局域性,所以伦敦理论是一种超导电性的局域理论。若r周围r'位置的A(r')与j(r)有牵连而影响j(r)的改变,则A(r)就为非局域性质的。由于`\nabla\timesbb{A}=\mu_0bb{H}`,所以也可以说磁场强度H是非局域性的。为此,超导电性需由非局域性理论来描绘,称超导电性的非局域理论。皮帕德非局域理论就是典型的超导电性非局域唯象理论。

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