Existence of Comfortable Team in some Special Social Networks

TL;DR

This paper introduces a new social network analysis index called 'comfortability' to identify comfortable and successful teams within specific types of product graphs, analyzing their existence in complex social structures.

Contribution

It proposes the concept of comfortability as a novel SNA index and investigates the conditions for its existence in product graphs like strong and lexicographic products.

Findings

Comfortable teams exist only in certain social networks.

The paper characterizes the existence conditions of comfortable teams in product graphs.

It provides theoretical insights into social network structures and team formation.

Abstract

Comfortability is one of the important attributes (characteristics) for a successful team work in any organization. It is necessary to find a comfortable and successful team in any given social network. We have introduced "comfortability" as a new SNA index. Comfortable team exists only in some social networks. In this paper, we analyze the existence of comfortable team in product graphs, such as strong product and Lexicographic product of two given graphs.