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Mathematics 2018, 6(9), 153; https://doi.org/10.3390/math6090153

Computing Eccentricity Based Topological Indices of Octagonal Grid O n m

1
School of Information Science and Engineering, Chengdu University, Chengdu 610106, China
2
Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
3
Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan
*
Author to whom correspondence should be addressed.
Received: 11 July 2018 / Revised: 25 August 2018 / Accepted: 27 August 2018 / Published: 31 August 2018
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Abstract

Graph theory is successfully applied in developing a relationship between chemical structure and biological activity. The relationship of two graph invariants, the eccentric connectivity index and the eccentric Zagreb index are investigated with regard to anti-inflammatory activity, for a dataset consisting of 76 pyrazole carboxylic acid hydrazide analogs. The eccentricity ε v of vertex v in a graph G is the distance between v and the vertex furthermost from v in a graph G. The distance between two vertices is the length of a shortest path between those vertices in a graph G. In this paper, we consider the Octagonal Grid O n m . We compute Connective Eccentric index C ξ ( G ) = v V ( G ) d v / ε v , Eccentric Connective Index ξ ( G ) = v V ( G ) d v ε v and eccentric Zagreb index of Octagonal Grid O n m , where d v represents the degree of the vertex v in G. View Full-Text
Keywords: eccentric connective index; connective eccentric index; eccentric Zagreb index; the octagonal grid O n m eccentric connective index; connective eccentric index; eccentric Zagreb index; the octagonal grid O n m
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Zhang, X.; Siddiqui, M.K.; Naeem, M.; Baig, A.Q. Computing Eccentricity Based Topological Indices of Octagonal Grid O n m . Mathematics 2018, 6, 153.

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