The Mostar index of Fibonacci and Lucas cubes

Abstract

The Mostar index of a graph was defined by Dosli\'c, Martinjak, Skrekovski, Tipuri\'c Spuzevi\'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.

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