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First and second extremal bipartite graphs with respect to PI index

✍ Scribed by Z. Yarahmadi; A.R. Ashrafi; I. Gutman


Book ID
113796496
Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
321 KB
Volume
54
Category
Article
ISSN
0895-7177

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Extremal graphs with respect to the vert
✍ M.J. Nadjafi-Arani; G.H. Fath-Tabar; A.R. Ashrafi πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 377 KB

The vertex PI index of a graph G is the sum over all edges uv ∈ E(G) of the number of vertices which are not equidistant to u and v. In this paper, the extremal values of this new topological index are computed. In particular, we prove that for each n-vertex graph 2 , where x denotes the greatest i