Geodesic
The Reciprocal Complementary Wiener Number of Graph Operations
Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 139
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The reciprocal complementary Wiener number of a connected graph $G$ is defined as $\sum_{\{x,y\}\subseteq V(G)}\frac{1}{D+1-d_{G}(x,y)}$, where $D$ is the diameter of $G$ and $d_G(x,y)$ is the distance between vertices $x$ and $y$. In this work, we study the reciprocal complementary Wiener number of various graph operations such as join, Cartesian product, composition, strong product, disjunction, symmetric difference, corona product, splice and link of graphs.
Classification : 05C12, 05C35
Keywords: reciprocal complementary Wiener number, distance, graph operations 
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R. Nasiri; A. Nakhaei; A. R. Shojaeifard. The Reciprocal Complementary Wiener Number of Graph Operations. Kragujevac Journal of Mathematics, Tome 45 (2021) no. 1, p. 139 . http://geodesic.mathdoc.fr/item/KJM_2021_45_1_a10/