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- Mohammad J. Nadjafi-Arani, H. Khodashenas, Ali Reza Ashrafi
- Discrete Mathematics
- 2011

- Mohammad J. Nadjafi-Arani, H. Khodashenas, Ali Reza Ashrafi
- Mathematical and Computer Modelling
- 2012

Let G be a connected graph and ξ(G) = Sze(G)−We(G), where We(G) denotes the edge Wiener index and Sze(G) denotes the edge Szeged index of G. In an earlier paper, it is proved that if T is a tree then Sze(T ) = We(T ). In this paper, we continue our work to prove that for every connected graph G, Sze(G) ≥ We(G) with equality if and only if G is a tree. We… (More)

- H. Khodashenas
- 2012

Let G and H be connected graphs. The tensor product G + H is a graph with vertex set V(G+H) = V (G) V(H) and edge set E(G + H) ={(a , b)(x , y)| ax ∈ E(G) & by ∈ E(H)}. The graph H is called the strongly triangular if for every vertex u and v there exists a vertex w adjacent to both of them. In this article the tensor product of G + H under some… (More)

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