Mostar index of the line graph of [n]circulenes and its comparison with the original graph

Document Type : Full Length Article

Authors

Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, P.O. Box 35195–363, Semnan, Iran.

Abstract

In this paper, the Mostar index for [n]circulenes line graphs is investigated, extending previous work on the topic. This study aims to analyze the difference in the Mostar index between circulenes and their line graphs. The results show that the line graphs exhibit a higher Mostar index compared to the circulenes, with the difference growing quadratically as n increases. The derived formulas depend solely on the size of the circulene (n), simplifying the calculations. Numerical and graphical comparisons validate these results, highlighting the role of features such as cycles and degree distribution in distance-based topological indices. These findings can contribute to a better understanding of the structural properties of molecules and complex graphs.

Graphical Abstract

Mostar index of the line graph of [n]circulenes and its comparison with the original graph

Keywords

Main Subjects


Volume 10, Issue 3
September 2025
Pages 273-281
  • Receive Date: 04 May 2025
  • Revise Date: 26 May 2025
  • Accept Date: 10 June 2025
  • Publish Date: 01 September 2025