The First Eccentric Zagreb Index of Linear Polycene Parallelogram of BenzenoidReport as inadecuate




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Let G = V,E be a graph, where VG is a non-empty set of vertices and EG is a set of edges, e = uv∈EG, du is degree of vertex u. Then the first Zagreb polynomial and the first Zagreb index Zg1G,x and Zg1G of the graph G are defined as Σuv∈EGxdu+dv and Σe=uv∈EGdu+dv respectively. Recently Ghorbani and Hosseinzadeh introduced the first Eccentric Zagreb index as Zg1*=Σuv∈EGeccv+eccu, that eccu is the largest distance between u and any other vertex v of G. In this paper, we compute this new index the first Eccentric Zagreb index or third Zagreb index of an infinite family of linear Polycene parallelogram of benzenoid.

KEYWORDS

Molecular Graph, Linear Polycene Parallelogram of Benzenoid, Zagreb Topological Index, Eccentricity Connectivity Index, Cut Method

Cite this paper

Alaeiyan, M. , Farahani, M. , Jamil, M. and Kanna, M. 2016 The First Eccentric Zagreb Index of Linear Polycene Parallelogram of Benzenoid. Open Journal of Applied Sciences, 6, 315-318. doi: 10.4236-ojapps.2016.65031.





Author: Mehdi Alaeiyan1, Mohammad Reza Farahani1, Muhammad Kamran Jamil2, M. R. Rajesh Kanna3

Source: http://www.scirp.org/



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