交叉数零图的素数着色

P. Murugarajan, R. Aruldoss
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引用次数: 0

摘要

本文给出了若干交数零图的素数着色及其色数,并用几个定理证明了其结果。素数着色定义为:在颜色类C={c1,c2,c3,.....cn}上,G是一个无环且没有多条有n个不同顶点的边的双射ψ:V {c1,c2,c3,.....cn},如果对于每条边e = cicj,i≠j, gcd{ψ (ci), ψ (cj)}=1, ψ (ci)和ψ (cj)得到不同的颜色。素色的色数是所有素色所占的最小基数。用η (G)表示。
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Prime Coloring of Crossing Number Zero Graphs
In this paper, prime coloring and its chromatic number of some crossing number zero graphs are depicted and its results are vali-dated with few theorems. Prime Coloring is defined as G be a loop less and Without multiple edges with n distinct Vertices on Color class C={c1,c2,c3,…..cn} a bijection ψ:V {c1,c2,c3,…..cn} if for each edge e = cicj ,i≠j , gcd{ ψ (ci), ψ (cj)}=1, ψ (ci) and ψ (cj) receive distinct Colors. The Chromatic number of Prime coloring is minimum cardinality taken by all the Prime colors. It is denoted by η (G).
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