Metric Based Fractional Dimension of Toeplitz Networks

Abstract

Metric dimension is one of the distance based graph - theoretic parameters which is widely used in the various disciplines of sciences such as computer science, chemistry, and engineering. The local fractional metric dimension is latest derived form of metric dimension and it is used to find the solutions of integer programming problems. In this paper, we have computed local fractional metric dimension of different families of Toeplitz networks. It is also proved that the local fractional metric dimension of these Toeplitz networks remain bounded when the order of the networks approaches to infinity.