Certain Types of Product Bipolar Fuzzy Graphs

被引：1
|
作者：
Ghorai G. [1 ]
Pal M. [1 ]
机构：
[1] Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore
来源：
International Journal of Applied and Computational Mathematics | 2017年 / 3卷 / 2期
关键词：
Bipolar fuzzy sets; Product bipolar fuzzy graphs; Product bipolar fuzzy line graphs; Regular product bipolar fuzzy graphs; Totally regular product bipolar fuzzy graphs;
D O I：
10.1007/s40819-015-0112-0
中图分类号：
学科分类号：
摘要：
Recently, bipolar fuzzy graph is a vastly growing research area as it is the generalization of the fuzzy graphs. In this paper, at first the concepts of regular and totally regular product bipolar fuzzy graphs is introduced. Then necessary and sufficient conditions are established under which regular and totally regular product bipolar fuzzy graph becomes equivalent. The notion of product bipolar fuzzy line graph is introduced and investigated some of its properties. A necessary and sufficient condition is given for a product bipolar fuzzy graph to be isomorphic to its corresponding product bipolar fuzzy line graph. It is also examined when an isomorphism between two product bipolar fuzzy graphs follows from an isomorphism of their corresponding fuzzy line graphs. © 2015, Springer India Pvt. Ltd.
引用
收藏
页码：605 / 619
页数：14
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