Mathematics · 2018 · 29 citations · 16 references
Natural SciencesChemistryMedicinal ChemistryComputational ChemistryPhysical ChemistryStructure-activity RelationshipsGraph TheoryMolecular DescriptorsMolecular StructureNetwork TheoryEccentricityEccentricity MeasurementInvariantsMolecular Graph InvariantsMolecular Graph RepresentationNetwork Topology AnalysisTopological DescriptorsTopological Indices
Graph theory has much great advances in the field of mathematical chemistry. Chemical graph theory has become very popular among researchers because of its wide applications in mathematical chemistry. The molecular topological descriptors are the numerical invariants of a molecular graph and are very useful for predicting their bioactivity. A great variety of such indices are studied and used in theoretical chemistry, pharmaceutical researchers, in drugs and in different other fields. In this article, we study the chemical graph of an oxide network and compute the total eccentricity, average eccentricity, eccentricity based Zagreb indices, atom-bond connectivity (ABC) index and geometric arithmetic index of an oxide network. Furthermore, we give analytically closed formulas of these indices which are helpful in studying the underlying topologies.
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A new version of Zagreb indices
Modjtaba Ghorbani, Mohammad Ali Hosseinzadeh · Filomat · 2012 · 148 citations · Full text
Topological Characterization of Carbon Graphite and Crystal Cubic Carbon Structures
Wei Gao, Muhammad Kamran Siddiqui, Muhammad Naeem et al. · Molecules · 2017 · 136 citations · Full text