On the harmonic index of graph operations

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

doi:10.22108/toc.2015.7389

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	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
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On the harmonic index of graph operations