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Hosoya index of total graphs and semitotal graphs | ||
| Journal of Discrete Mathematics and Its Applications | ||
| دوره 8، شماره 1، شهریور 2023، صفحه 23-33 اصل مقاله (295.2 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jdma.2023.9791.1052 | ||
| نویسندگان | ||
| Mohammad Hadi Akhbari* 1؛ Fateme Movahedi2 | ||
| 1Department of Mathematics, Estahban Branch, Islamic Azad University, I. R. Iran | ||
| 2Department of Mathematics, Faculty of Sciences, Golestan University, Gorgan, I. R. Iran | ||
| تاریخ دریافت: 05 بهمن 1401، تاریخ بازنگری: 15 بهمن 1401، تاریخ پذیرش: 26 بهمن 1401 | ||
| چکیده | ||
| The Hosoya index $Z(G)$ of a graph $G$ is the total number of matchings in it. In this paper, the recursive formulas of the Hosoya index of semitotal graph $Q(G)$ and total graph $T(G)$ for certain graphs $G$ are obtained. Moreover, we obtain the bounds of the Hosoya index of semitotal and total graphs of a connected graph $G$. | ||
| کلیدواژه‌ها | ||
| Hosoya index؛ semitotal graph؛ total graph | ||
| مراجع | ||
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