The embedding of line graphs associated to the zero-divisor graphs of commutative rings

被引：0
|
作者：
Hung-Jen Chiang-Hsieh
Pei-Feng Lee
Hsin-Ju Wang
机构：
[1] National Chung Cheng University,Department of Mathematics
来源：
Israel Journal of Mathematics | 2010年 / 180卷
关键词：
Complete Graph; Local Ring; Commutative Ring; Line Graph; Complete Bipartite Graph;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let R be a commutative ring with identity and denote Γ(R) for its zero-divisor graph. In this paper, we study the minimal embedding of the line graph associated to Γ(R), denoted by L(Γ(R)), into compact surfaces (orientable or non-orientable) and completely classify all finite commutative rings R such that the line graphs associated to their zero-divisor graphs have genera or crosscaps up to two.
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页码：193 / 222
页数：29
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