Investigating The Metric Basis And Metric Dimension Of Graphene

This article explores the metric dimension of graphene, atwo-dimensional carbon allotrope, examining how a minimal set of carbon atoms can uniquely determine the distances between all atoms in thegraphene lattice. We investigate the implications of metric dimension for characterizing graphene’s structural features and discuss its potentialapplications in electronics, energy storage, and nanotechnology. Thea rticle aims to contribute to the understanding of graphene’s unique properties and its practical use in various fields