Mostar index of the line graph of [n]circulenes and its comparison with the original graph
نویسندگان
1 Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, P.O. Box 35195–363, Semnan, Iran.
2 Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, P.O. Box 35195–363, Semnan, Iran.
doi
10.22061/jdma.2025.12021.1130چکیده
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.