I-Total Coloring and VI-Total Coloring of mC4 Vertex-Distinguished by Multiple Sets

Pub Date : 2023-06-01 DOI:10.1051/wujns/2023283201
Nana Wang, Xiangen Chen
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Abstract

We give the optimal I-(VI-)total colorings of [see formula in PDF] which are vertex­distinguished by multiple sets by the use of the method of constructing a matrix whose entries are the suitable multiple sets or empty sets and the method of distributing color set in advance. Thereby we obtain I-(VI-)total chromatic numbers of [see formula in PDF] which are vertex-distinguished by multiple sets.
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mC4多集可分辨顶点的I-全染色和VI全染色
通过构造一个以合适的多集或空集为入口的矩阵的方法和预先分布颜色集的方法,我们给出了[见PDF中的公式]的最优I-(VI-)总着色,这些着色由多个集进行顶点区分。由此,我们得到了[见PDF中的公式]的I-(VI-)全色数,这些全色数是由多个集合区分的顶点。
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