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Hosoya index of bridge and splice graphs | ||
| Journal of Discrete Mathematics and Its Applications | ||
| مقاله 2، دوره 2، 1-2، شهریور 2012، صفحه 9-13 اصل مقاله (835.72 K) | ||
| نوع مقاله: Full Length Article | ||
| شناسه دیجیتال (DOI): 10.22061/jmns.2012.469 | ||
| نویسنده | ||
| Reza Sharafdini | ||
| Department of Mathematics, Faculty of Basic Sciences, Persian Gulf University, Bushehr 75169, Iran | ||
| تاریخ دریافت: 20 دی 1390، تاریخ بازنگری: 01 فروردین 1391، تاریخ پذیرش: 16 اردیبهشت 1391 | ||
| چکیده | ||
| The Hosoya index of a graph is defined as the total number of the matchings (including the empty edge set) of the graph. In this paper, explicit formulas are given for the Hosoya index of bridge and splice graphs. | ||
| کلیدواژه‌ها | ||
| Hosoya index؛ bridge graphs؛ splices graphs | ||
| مراجع | ||
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[1] A. R. Ashrafi, A. Hamzeh and S. Hossein-zadeh, Calculation of some topological indices of splices and links of graphs, J. Appl. Math. & Informatics, 29 (1-2) (2011) 327 – 335.
[2] S. J. Cyvin and I. Gutman, Hosoya index of fused molecules, MATCH Commun. Math. Comput. Chem, 23 (1988) 89-94.
[3] S.J. Cyvin, I. Gutman and N. Kolakovic., Hosoya index of some polymers, MATCH Commun. Math. Comput. Chem., 24 (1989) 89-94.
[4] T. Došlić, Splices, links and their degree-weighted Wiener polynomials, Graph Theory Notes New York, 48 (2005) 47-55.
[5] 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.
[6] I. Gutman, O.E. Polansky, Mathematical Concepts in Organic Chemistry, Springer-Verlag, Berlin, 1986.
[7] T. Mansour, M. Schork, Wiener, hyper-Wiener, detour and hyper-detour indices of bridge and chain graphs, J. Math. Chem., 47 (2010) 72–98.
[8] L. Turker. Contemplation on the Hosoya indices, J. Mol. Struct.: THEOCHEM, 623 (2003), 75-77.
[9] R. Todeschini and V. Consonni, Handbook of Molecular Descriptors, Wiley-VCH, Weinheim, 2000. | ||
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