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Mostar index of the line graph of [n]circulenes and its comparison with the original graph | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 10، شماره 3، آذر 2025، صفحه 273-281 اصل مقاله (371.21 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.12021.1130 | ||
| نویسندگان | ||
| Zohreh Rajabinejad؛ Saeed Mohammadian Semnani* | ||
| Department of Mathematics, Faculty of Mathematics, Statistics and Computer Science, Semnan University, P.O. Box 35195–363, Semnan, Iran. | ||
| تاریخ دریافت: 14 اردیبهشت 1404، تاریخ بازنگری: 05 خرداد 1404، تاریخ پذیرش: 20 خرداد 1404 | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| molecular graph؛ [n]circulenes؛ line graph؛ SMP-polynomial؛ Mostar index | ||
| مراجع | ||
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