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.
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Shwetha Shetty, B. , Lokesha, V. and Ranjini, P. S. (2015). On the harmonic index of graph operations. Transactions on Combinatorics, 4(4), 5-14. doi: 10.22108/toc.2015.7389
MLA
Shwetha Shetty, B. , , Lokesha, V. , and Ranjini, P. S. . "On the harmonic index of graph operations", Transactions on Combinatorics, 4, 4, 2015, 5-14. doi: 10.22108/toc.2015.7389
HARVARD
Shwetha Shetty, B., Lokesha, V., Ranjini, P. S. (2015). 'On the harmonic index of graph operations', Transactions on Combinatorics, 4(4), pp. 5-14. doi: 10.22108/toc.2015.7389
CHICAGO
B. Shwetha Shetty , V. Lokesha and P. S. Ranjini, "On the harmonic index of graph operations," Transactions on Combinatorics, 4 4 (2015): 5-14, doi: 10.22108/toc.2015.7389
VANCOUVER
Shwetha Shetty, B., Lokesha, V., Ranjini, P. S. On the harmonic index of graph operations. Transactions on Combinatorics, 2015; 4(4): 5-14. doi: 10.22108/toc.2015.7389
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