Abstract

Connectivity index of graph plays a significant role in chemistry, pharmacology, etc. This paper brings in connectivity index of a bipolar fuzzy graph (BFG) with its boundedness. We examine the changes of connectivity index for a BFG when a vertex or an edge is removed. Some theorems related to these are established. The parameter, average connectivity index of a BFG, is introduced with some theorems. Some special types of nodes like bipolar fuzzy connectivity-enhancing node, bipolar fuzzy connectivity-reducing node, bipolar fuzzy connectivity-neutral node with their properties are introduced. Keeping in mind bipolar judgemental thinking, two applications of these thoughts are bestowed to increase the popularity of women football league in India and another is to determine the order of the places to build colleges in a town.

中文翻译：

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双极模糊环境下图的某些指标及其应用

摘要

图的连通性指数在化学，药理学等方面起着重要作用。本文引入了双极模糊图（BFG）的连通性指数及其有界性。当移除顶点或边缘时，我们检查了BFG的连通性指数的变化。建立了与此相关的一些定理。通过一些定理介绍了BFG的平均连接性指数参数。介绍了一些特殊类型的节点，包括双极模糊连通性增强节点，双极模糊连通性降低节点，双极模糊连通性中立节点及其属性。牢记两极判断思想，这些思想的两种应用被赋予了提高印度女足联赛知名度的作用，另一种是确定了在城镇建立大学的场所的顺序。