The edge versions of Wiener index, which were based on distance between two edges in a connected graph \(G\), were introduced by Iranmanesh et al. in \(2008\). In this paper, we find the edge Wiener indices of the sum of graphs. Then as an application of our results, we find the edge Wiener indices of graphene, \(C_4\)-nanotubes and \(C_4\)-nanotori.
1970-2025 CP (Manitoba, Canada) unless otherwise stated.