Some results on the total graph of a commutative ring

被引：0
|
作者：
Sharma, Pravesh [1 ]
Dutta, Sanghita [1 ]
机构：
[1] North Eastern Hill Univ, Dept Math, Permanent Campus, Shillong 793022, Meghalaya, India
来源：
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 48期
关键词：
crossing number; zero divisors; matching; factors; arboricity;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the total graph of a ring and determine its matching, factors and arboricity. We find the independence number of the line graph of the total graph of a ring and give complete characterization of rings for which diam L(T(Gamma(R))) =, < or > diam T(Gamma(R)). We find the crossing number of all local rings with some bounds in the cardinality of zero divisors and also determine the crossing number of all finite rings with the genus at most two.
引用
收藏
页码：1133 / 1146
页数：14
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