Zero-divisor graphs and total coloring conjecture

被引：1
|
作者：
Nilesh Khandekar
Vinayak Joshi
机构：
[1] Savitribai Phule Pune University,Department of Mathematics
来源：
Soft Computing | 2020年 / 24卷
关键词：
Zero-divisor graphs; Coloring of a graph; Total coloring conjecture; Pseudocomplemented poset; Direct product of posets; Reduced ring;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we prove that the zero-divisor graphs of a special class of pseudocomplemented posets satisfy the total coloring conjecture. Also, we determine the edge chromatic number of the zero-divisor graphs of this special class of pseudocomplemented posets. These results are applied to zero-divisor graphs of finite reduced commutative rings.
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页码：18273 / 18285
页数：12
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