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Gutman index of polyomino chains | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 5، دوره 10، شماره 4، اسفند 2025، صفحه 375-392 اصل مقاله (1.49 M) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2025.12559.1168 | ||
| نویسندگان | ||
| Laila Azami؛ Nader Jafari Rad* | ||
| Department of Mathematics, Faculty of Basic Sciences, Shahed University, Tehran, I. R. Iran | ||
| تاریخ دریافت: 01 مهر 1404، تاریخ بازنگری: 15 مهر 1404، تاریخ پذیرش: 02 آذر 1404 | ||
| چکیده | ||
| The Gutman index is a degree-distance-based topological descriptor of connected graphs. In this paper, we derive explicit analytic expressions for its expected value in polyomino chains built by sequentially attaching square tiles via one of two fixed local connection modes. This expectation is expressed as a cubic polynomial in the number of tiles $n$. We then identify which attachment patterns yield the extremal (maximum and minimum) values and compute the overall average of the Gutman index across all polyomino chains of length $n$. These results enhance the topological analysis of square-tiled networks with applications in chemical graph theory, polymer science, and materials design. | ||
| کلیدواژهها | ||
| Gutman index؛ graph؛ Polyomino chains | ||
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آمار تعداد مشاهده مقاله: 59 تعداد دریافت فایل اصل مقاله: 140 |
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