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- G. H. Fath-Tabar, B. Vaez-Zadeh, Ali Reza Ashrafi, Ante Graovac
- Discrete Applied Mathematics
- 2011

- Mohammad J. Nadjafi-Arani, G. H. Fath-Tabar, Ali Reza Ashrafi
- Appl. Math. Lett.
- 2009

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 G, n(n− 1) ≤ PIv(G) ≤ n · b n 2 c · d n 2 e, where bxc denotes the greatest integer not… (More)

Suppose μ1, μ2, ... , μn are Laplacian eigenvalues of a graph G. The Laplacian energy of G is defined as LE(G) = ∑n i=1 |μi − 2m/n|. In this paper, some new bounds for the Laplacian eigenvalues and Laplacian energy of some special types of the subgraphs of Kn are presented. AMS subject classifications: 05C50

- M. Adabitabar Firozja, G. H. Fath-Tabar, Z. Eslampia
- Appl. Math. Lett.
- 2012

- G. H. Fath-Tabar, A. Loghman
- Ars Comb.
- 2012

- R. Nasiri, G. H. Fath-Tabar
- Electronic Notes in Discrete Mathematics
- 2014

For a graph G, Albertson [1] has defined the irregularity of G as

- Ali Reza Ashrafi, G. H. Fath-Tabar
- Appl. Math. Lett.
- 2011

Suppose G is a graph and λ1, λ2, . . . λn are the eigenvalues of G. The Estrada index EE(G) of G is defined as the sum of the terms ei , 1 ≤ i ≤ n. In this work some upper and lower bounds for the Estrada index of (4, 6)-fullerene graphs are presented. © 2010 Elsevier Ltd. All rights reserved.

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