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Hosoya index of tree structures | ||
| Transactions on Combinatorics | ||
| مقاله 4، دوره 9، شماره 3، آذر 2020، صفحه 161-169 اصل مقاله (223.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22108/toc.2020.121874.1713 | ||
| نویسندگان | ||
| Ramin Kazemi* 1؛ Ali Behtoei2 | ||
| 1Department of Statistics, Imam Khomeini International University, Qazvin, Iran | ||
| 2Department of Pure Mathematics, Imam Khomeini International University, Qazvin, Iran | ||
| چکیده | ||
| The Hosoya index, also known as the $Z$ index, of a graph is the total number of matchings in it. In this paper, we study the Hosoya index of the tree structures. Our aim is to give some results on $Z$ in terms of Fibonacci numbers in such structures. Also, the asymptotic normality of this index is given. | ||
| کلیدواژه‌ها | ||
| Hosoya index؛ tree structures؛ average؛ variance؛ asymptotic normality | ||
| مراجع | ||
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[13] R. Kazemi, The second Zagreb index of molecular graphs with tree structure, MATCH Commun. Math. Comput. Chem. 72 (2014) 753–760. [14] M. Randić, Comparative regression analysis: regressions based on a single descriptor, Croat. Chem. Acta, 66 (1993) 289–312. [15] R. Todeschini and V. Consonni, Handbook of Molecular Descriptors, Wiley-VCH, Weinheim, 2000.
[16] S. G. Wagner, Extremal trees with respect to Hosoya index and Merrifield-Simmons index, MATCH Commu. Math. Comput. Chem., 57 (2007) 221–233. | ||
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