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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 | ||
[1] P. Billingsley, Probability and Measure, John Wiley and Sons, New York, 1885.
[2] H. Deng, The largest Hosoya index of (n, n + 1)-graphs, C omput. Math. App., 56 (2008) 2499–2506.
[3] J. Devillers and A. T. Balaban, Topological Indices and Related Descriptors in QSAR and QSPR, Gordon and Breach, Amsterdam, 1999. [4] M. V. Diudea, QSPR/QSAR Studies by Molecular Descriptors, Nova Science Publishers, Huntington, N. Y., 2001.
[5] Y. D. Gao and H. Hosoya, Topological index and thermodynamic properties. IV. Size dependency of the structure activity correlation of alkanes, Bull. Chem. Soc. Jpn., 61 (1988) 3093–3102. [6] I. Gutman and O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, Berlin, 1986.
[7] P. Hall and C. C. Heyde, Martingale Limit Theory and Its Application, Academic Press, New York, 1980.
[8] H. Hosoya, Topological index. A newly proposed quantity characterizing the topological nature of structural isomers of saturated hydrocarbons,Bull. Chem. Soc. Jpn., 44 (1971) 2332–2339. [9] H. Hosoya, Topological index as a sorting device for coding chemical structures, J. Chem. Docum., 12 (1972) 181–183. [10] H. Hosoya and K. Hosoi, Topological index as applied to π-electron systems. III, Mathematical relations among various bond orders. J. Chem. Phys., 64 (1976) 1065–1073. [11] H. Hosoya, Chemical meaning of octane number analyzed by topological indices, Croat. Chem. Acta, 75 (2002) 433–445. [12] R. Kazemi, The eccentric connectivity index of bucket recursive trees, Iranian J. Math. Chem., 5 (2014) 77–83.
[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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