Mostar index and edge Mostar index of polymers
Abstract
Let be a graph and . Define be the number of vertices of closer to than to . The number can be defined in an analogous way. The Mostar index of is a new graph invariant defined as . The edge version of Mostar index is defined as , where and are the number of edges of lying closer to vertex than to vertex and the number of edges of lying closer to vertex than to vertex , respectively. Let be a connected graph constructed from pairwise disjoint connected graphs by selecting a vertex of , a vertex of , and identifying these two vertices. Then continue in this manner inductively. We say that is a polymer graph, obtained by point-attaching from monomer units . In this paper, we consider some particular cases of these graphs that are of importance in chemistry and study their Mostar and edge Mostar indices.
Cite
@article{arxiv.2106.06562,
title = {Mostar index and edge Mostar index of polymers},
author = {Nima Ghanbari and Saeid Alikhani},
journal= {arXiv preprint arXiv:2106.06562},
year = {2021}
}
Comments
23 pages, 18 Figures