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A. KARIMI1, A. IRANMANESH2,* , A. TEHRANIAN1
Let G be a connected graph. Distance between two edges of G is the distance between the corresponding vertices in the line graph of G. The edge-Wiener index of a graph G is defined the sum of distances between all pairs of edges of the graph G. In this paper at first we defined a new distance between two edges of the graph G, and then in according to this definition, we define the edge-Wiener index of a graph G. Then we obtain the edge Wiener index of some well-known graphs and the nanotubs TUC4C8(R) and TUC4C8(S) nanotorus.
Wiener index, Nanotubes, nanotorus, Edge-Wiener index.
A. KARIMI, A. IRANMANESH, A. TEHRANIAN, Computing a new edge-Wiener index of TUC4C8(S) nanotubes and TUC4C8(R) nanotorus, Optoelectronics and Advanced Materials - Rapid Communications, 4, 11, November 2010, pp.1856-1859 (2010).
Submitted at: Oct. 15, 2010
Accepted at: Nov. 10, 2010
Optoelectronics and Advanced Materials - Rapid Communications
(2023): 0.5 - 2023 Journal Citation Reports (Clarivate Analytics, 2024)
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