Computing Eccentricity Based Topological Indices of Octagonal Grid O n m

Xiujun Zhang, Muhammad Kamran Siddiqui, Muhammad Naeem and Abdul Qudair Baig
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Xiujun Zhang: School of Information Science and Engineering, Chengdu University, Chengdu 610106, China
Muhammad Kamran Siddiqui: Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan
Muhammad Naeem: Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan
Abdul Qudair Baig: Department of Mathematics, The University of Lahore, Pakpattan Campus, Pakpattan 57400, Pakistan

Mathematics, 2018, vol. 6, issue 9, 1-14

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 .

Keywords: eccentric connective index; connective eccentric index; eccentric Zagreb index; the octagonal grid O n m (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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