Balanced Signed Total Graphs of Commutative Rings

被引：6
|
作者：
Sharma, Pranjali [1 ]
Acharya, Mukti [2 ]
机构：
[1] Univ Delhi, Dept Math, Chhatra Marg, Delhi 110007, India
[2] Kalasalingam Univ, Dept Math, Anand Nagar 626126, Krishnankoil, India
来源：
GRAPHS AND COMBINATORICS | 2016年 / 32卷 / 04期
关键词：
Finite commutative rings; Ideal; Balanced signed graph; Total graph;
D O I：
10.1007/s00373-015-1666-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is primarily concerned with a natural extension of the notion of a total graph in the realm of signed graph for a finite commutative ring R. First, we characterize the rings for which the signed total graph and its line signed graph are balanced. Second, we characterize the rings for which the negation of a signed total graph is balanced. Several new directions for further research are also indicated.
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页码：1585 / 1597
页数：13
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