On the harmonic index of graph operations

Shwetha Shetty, B.; Lokesha, V.; Ranjini, P. S.

doi:10.22108/toc.2015.7389

تعداد نشریات	43
تعداد شماره‌ها	1,639
تعداد مقالات	13,330
تعداد مشاهده مقاله	29,909,270
تعداد دریافت فایل اصل مقاله	11,961,312

	On the harmonic index of graph operations
Transactions on Combinatorics
مقاله 2، دوره 4، شماره 4، اسفند 2015، صفحه 5-14 اصل مقاله (229.76 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22108/toc.2015.7389
نویسندگان
B. Shwetha Shetty¹؛ V. Lokesha^* ²؛ P. S. Ranjini¹
¹Don Bosco Institute of Technology, Bangalore-78, India
²Dept.of Mathematics, VSK University,Bellary Karnataka
چکیده
‎‎The harmonic index of a connected graph $G$‎, ‎denoted by $H(G)$‎, ‎is‎ ‎defined as $H(G)=\sum_{uv\in E(G)}\frac{2}{d_u+d_v}$‎ ‎where $d_v$ is the degree of a vertex $v$ in G‎. ‎In this paper‎, ‎expressions for the Harary indices of the‎ ‎join‎, ‎corona product‎, ‎Cartesian product‎, ‎composition and symmetric difference of graphs are‎ ‎derived‎.
کلیدواژه‌ها
harmonic index؛ Graph operations؛ Topological indices؛ graphs

مراجع
M. Azar (2014) Sharp lowerb ounds on the Narumi-Katayama index of graph operations Appl. Math. Comput. 239, 409-421 K. C. Das, K. Xu, I. N. Cangul, A. S. Cevik and A. Graovac (2013) On the Harary index of graph operations J. Inequal. Appl. , 1-16 N. De, A. Pal, S. Nayeem and M. Abu (2014) Connective eccentric index of some graph operations http://arXiv:1406.0378 E. Estrada, L. Torres, L. Ro driguez and I. Gutman (1998) An Atom-b ond connectivity index: Mo delling the enthalpy of formation of alkanes Indian J. Chem. 37, 849-855 S. Fajtlowicz (1987) On conjectures of Graﬃti. II Congr. Numer 60, 189-197 G. H. Fath-Tabar, A. Hamzeh and S. Hossein-Zadeh (2010) GA_2 index of some graph operations, Filomat 24, 21-28 F. Harary (1994) Graph theory Reading, MA: Addison-Wesley M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi (2008) The hyper-Wiener index of graph operations Comput. Math. Appl. 56, 1402-1407 M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi (2009) The first and second Zagreb indices of some graph op rations Discrete Appl. Math. 157, 804-811 V. Lokesha, B. S. Shetty, P. S. Ranjini, I. N. Cangul and A. S. Cevik (2013) New b ounds for Randic and GA indices, J. Inequal. Appl. , 1-7 K. Pattabiraman and M. Vijayaragavan (2013) Reciprocal degree distance of some graph operations Trans. Comb. 2, 13-24 M. Randic (1975) Characterization of molecular branching J. Am. Chem. Soc. 97, 6609-6615 B. Sh. Shetty, V. Lokesha, P. S. Ranjini and K. C. Das (2012) Computing some topological indices of Smart polymer Digest Journal of Nanomaterials and Biostructures 7, 1097-1102 X. Xu (2012) Relationships between harmonic index and other topological indices Appl. Math. Sci. 6, 2013-2018 I. G. Yero and J. A. Ro driguez-Velazquez (2011) On the Randic index of corona product graph International Scholarly Research Notices L. Zhong (2012) The harmonic index for graphs Appl. Math. Lett. 25, 561-566
آمار تعداد مشاهده مقاله: 4,288 تعداد دریافت فایل اصل مقاله: 5,040

سامانه مدیریت نشریات علمی. قدرت گرفته از سیناوب

پیوندهای مفید

اخبار و اعلانات

آمار

On the harmonic index of graph operations