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1)  adjacent strong vertex-distinguishing total coloring
邻点可区别的强全色数
1.
Suppose f is a proper total coloring of G which use k colors,for uv∈E(G), it s satisfied C(u)≠C(v),where C(u)={f(u)}∪{f(v)|uv∈E(G)}∪{f(uv)|uv∈E(G)}, then f is called a k adjacent strong vertex-distinguishing total coloring of graph G(k-ASVDTC for short)and χ ast (G)=min{k|k-ASVDTC of G} is called the chromatic number of adjacent strong vertex-disting.
设 f为用 k色时 G的正常全染色法 ,对 uv∈ E(G) ,满足 C(u)≠ C(v) ,其中C(u) ={ f(u) }∪ { f(v) |uv∈ E(G) }∪ { f(uv) |uv∈ E(G) } ,则称 f 为 G的 k邻点可区别的强全染色法 ,简记作 k- ASVDTC,且称 χast(G) =min{ k|k- ASVDTC of G}为 G的邻点可区别的强全色数
2)  adjacent-vertex strongly-distinguishing total coloring
邻点强可区别全色数
3)  adjacent strong total chromatic number of graphs
邻点可区别的全染色数
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)  adjacent vertex distinguishing total coloring and chromatic number
邻点可区别的全染色和全色数
补充资料:思北邻韩二翁西邻因庵主南邻章老秀才
【诗文】:
乡闾耆宿非复前,老章病死今三年。
朝来出门为太息,不见此翁催社钱。
我比翁虽差识字,向来推择尝为吏,事功自计无一毫,尚不如翁终日醉。



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