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Computing Eccentricity Based Topological Indices of Octagonal Grid O n m

Author

Listed:
  • 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)

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 .

Suggested Citation

  • Xiujun Zhang & Muhammad Kamran Siddiqui & Muhammad Naeem & Abdul Qudair Baig, 2018. "Computing Eccentricity Based Topological Indices of Octagonal Grid O n m," Mathematics, MDPI, vol. 6(9), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:9:p:153-:d:166972
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    References listed on IDEAS

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    1. Siddiqui, Muhammad Kamran & Imran, Muhammad & Ahmad, Ali, 2016. "On Zagreb indices, Zagreb polynomials of some nanostar dendrimers," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 132-139.
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