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1)  adjacent vertex distinguishing proper edge chromatic number
邻点可区别正常边色数
1.
The minimum number required for an adjacent vertex distinguishing proper edge coloring of G is called the adjacent vertex distinguishing proper edge chromatic number, denoted by x _a(G)- The adjacent vertex distinguishing proper edge chroma.
显然一个图G有邻点可区别正常边染色当且仅当G不含孤立边,对一个无孤立边的图G进行邻点可区别的正常边染色所需要的最少的颜色数称为是G的邻点可区别正常边色数,记为X′_α(G)。
2)  adjacent vertex distinguishing proper edge coloring
邻点可区别正常边染色
1.
Obviously, a graph G has adjacent vertex distinguishing proper edge coloring if and only if G has no isolated edges.
显然一个图G有邻点可区别正常边染色当且仅当G不含孤立边,对一个无孤立边的图G进行邻点可区别的正常边染色所需要的最少的颜色数称为是G的邻点可区别正常边色数,记为X′_α(G)。
3)  vertex-distinguishing proper edge chromatic number
点可区别正常边色数
1.
The vertex-distinguishing proper edge chromatic number of P_3∨K_n and P_4∨K_n are obtained in this paper,and the vertex-distinguishing proper edge chromatic number of P_m∨K_n(m≥5) and C_m∨K_n(m≥4) are also discussed.
给出了图P3∨Kn与P4∨Kn的点可区别正常边染色的色数及染色方法,并讨论了图Pm∨Kn(m≥5),Cm∨Kn(m≥4)的点可区别正常边色数,给出了某些情况下它们的确切值。
4)  adjacent strong edge chromatic number of adjacent vertex-distinguish graph
邻点可区别邻强边色数
5)  vertex-edge adjacent vertex-distinguishing total coloring
点边邻点可区别全色数
1.
f is a mapping from V(G)∪E(G) to {1,2,…,k},then it is called the vertex-edge adjacent vertex-distinguishing total coloring of G if uv∈E(G),f(u)≠f(uv),f(v)≠f(uv),uv∈E(G),C(u)≠C(v),and the minimum number of k is called the vertex-edge adjacent vertex-distinguishing total chromatic number of G,where C(u)={f(u)}∪{f(uv)|uv∈E(G)}.
对简单图G(V,E),存在一个正整数k,使得映射f:V(G)∪E(G)→{1,2,…,k},如果对uv∈E(G),有f(u)≠f(uv),f(v)≠f(uv),且C(u)≠C(v),则称f是图G的点边邻点可区别全染色,且称最小的数k为图G的点边邻点可区别全色数。
6)  chromatic number of adjacent-position distinguishable edge coloring
邻点可区别边色数
1.
The chromatic number of adjacent-position distinguishable edge coloring of multi-joined graph S_m∨P_n∨P_n;
多重联图S_m∨P_n∨P_n的邻点可区别边色数
补充资料:正常(超导)—超导(正常)转变
正常(超导)—超导(正常)转变

transitionfromnormal(superconducting)statetosuperconducting(normal)state

一般指在常压下改变温度到Tc时,物质的电阻从R>0(R=0)的正常态(超导态)到R=0(R>0)的超导态(正常态)的转变。无磁场时这种转变属二级相变。

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