Computation of the Fault-Tolerant Metric Dimension of Certain Networks

Abstract

*e notion of metric dimension originated in the twentieth century by the work done by Slater [1, 2] and latter independently by Harary and Melter [2]. *e initial concept was introduced to locate the intruder in any network but the development and impact of the notion was far reaching in coming years. Several applications of metric related network parameters can be seen in social networking, navigation, communications, and engineering, pharmaceutical chemistry. *e fault tolerance of a networking system is its ability to perform in case of malfunction of one of the source nodes. *e fault tolerant metric dimension of a network can be regarded as a process of uniquely identification of each node of a network in case a malfunction occurs in one of the source node. *is allows fault tolerant metric dimension more adaptability and flexibility for practical purposes than the parent notion. For a simple network