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若干图的点强全染色(英文)
引用本文:刘林忠,谢继国,张忠辅. 若干图的点强全染色(英文)[J]. 经济数学, 1998, 0(3)
作者姓名:刘林忠  谢继国  张忠辅
作者单位:兰州铁道学院运输管理工程系!730070(刘林忠),兰州师专数学系!730070(谢继国),兰州铁道学院应用数学研究所!730070(张忠辅)
摘    要:对图G及正整数k,映射f:满足:(1)任意e1,e3,如果e1,e2是相邻或相关联的,则有;(2)对u,v,w(G)有,则称f为G的一个k-点强全染色,并且K|G的社点强全染色称为G的点强全色数.本文讨论了一些特殊困的点强全色数,并提出了一个猜想:若G为每一分图的阶数不小于6的图,则(G),其中(G)为本文中定义的一新参数.

关 键 词:点强全染色  点强全色数

ON THE VERTEX STRONG TOTAL COLORING OF GRAPHS
Liu Linzhong. ON THE VERTEX STRONG TOTAL COLORING OF GRAPHS[J]. Mathematics in Economics, 1998, 0(3)
Authors:Liu Linzhong
Abstract:Let G(V,E) be a graph,for a positive integer k,a maping satisfies with: (1)If and e1,e2 is adjacent or incident,then (2) For u,v,wV(G),uw,E(G),uv E(G),have then f is called a k-vertex strong total coloring of G and vertex strong total coloring of Gin called the vertex strong tota1 chromatic number of G. In this paper,we obtained some results about (G)of some special graphs,and raised a conjecture:If G is a graph which the order of each componont is at least 6, then (G), where (G) is a new parameter of G(V,E) defind in this paper.
Keywords:Vertex Strong Total Coloring  Vertex Strong Total Chromatics Number
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