On Some New Neighborhood Degree-Based Indices for Some Oxide and Silicate Networks

Sourav Mondal, Nilanjan De and Anita Pal
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Sourav Mondal: Department of Mathematics, National Institute of Technology Durgapur, Durgapur-713209, India
Nilanjan De: Department of Basic Sciences and Humanities (Mathematics), Calcutta Institute of Engineering and Management, Kolkata-700040, India
Anita Pal: Department of Mathematics, National Institute of Technology Durgapur, Durgapur-713209, India

J, 2019, vol. 2, issue 3, 1-26

Abstract: Topological indices are numeric quantities that describes the topology of molecular structure in mathematical chemistry. An important area of applied mathematics is the chemical reaction network theory. Real-world problems can be modeled using this theory. Due to its worldwide applications, chemical networks have attracted researchers since their foundation. In this report, some silicate and oxide networks are studied, and exact expressions of some newly-developed neighborhood degree-based topological indices named as the neighborhood Zagreb index ( M N ), the neighborhood version of the forgotten topological index ( F N ), the modified neighborhood version of the forgotten topological index ( F N ? ), the neighborhood version of the second Zagreb index ( M 2 ? ), and neighborhood version of the hyper Zagreb index ( H M N ) are obtained for the aforementioned networks. In addition, a comparison among all the indices is shown graphically.

Keywords: topological indices; silicate and oxide networks; copper (II) oxide network (search for similar items in EconPapers)
JEL-codes: I1 I10 I12 I13 I14 I18 I19 (search for similar items in EconPapers)
Date: 2019
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