English

The Mostar index of Fibonacci and Lucas cubes

Combinatorics 2022-10-26 v1

Abstract

The Mostar index of a graph was defined by Do\v{s}li\'{c}, Martinjak, \v{S}krekovski, Tipuri\'{c} Spu\v{z}evi\'{c} and Zubac in the context of the study of the properties of chemical graphs. It measures how far a given graph is from being distance-balanced. In this paper, we determine the Mostar index of two well-known families of graphs: Fibonacci cubes and Lucas cubes.

Keywords

Cite

@article{arxiv.2101.04740,
  title  = {The Mostar index of Fibonacci and Lucas cubes},
  author = {Ömer Eğecioğlu and Elif Saygı and Zülfükar Saygı},
  journal= {arXiv preprint arXiv:2101.04740},
  year   = {2022}
}