Browsing by Author "Shafiq, Muhammad Kashif"

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Degree-Bad Topological Descriptors of Star of David and Hexagonal Cage Networks
(Sami Publishing Co-spc, 2020) Ali, Haidar; Shafiq, Muhammad Kashif; Farahani, Mohammad Reza; Cancan, Murat; Aldemir, Mehmet Serif
Topological indices are numerical parameters of a graph that characterize its molecular topology. In theoretical chemistry, the numerical parameters which are used to depict the molecular topology of graphs are called topological indices. Several physical and chemical properties like boiling point, entropy, heat-formation and vaporization enthalpy of chemical compounds can be determined through these topological indices. Graph theory has a considerable use in evaluating the relation for various topological indices of some derived graphs. In this paper, we studied the general Randic first Zagreb, ABC, GA, ABC(4) and GA(5), indices for the Star of David and Hexagonal Cage networks and provided closed formulas of these indices.
The Sharp Bounds of Zagreb Indices on Connected Graphs
(Element, 2021) Chu, Yu-Ming; Shafiq, Muhammad Kashif; Imran, Muhammad; Siddiqui, Muhammad Kamran; Siddiqui, Hafiz Muhammad Afzal; Baby, Shakila; Cancan, Murat
The analysis of a structure is based on its configuration. The common means available for this purpose is the use of graph products. The rooted product is specially revelent for trees. Chemical application of graph theory predicts different properties like physico-chemical properties, thermodynamics properties, chemical activity, biological activity, etc. Certain graph invariants known as topological indices are used for characterization of these properties. These indices have a promising role in chemical sciences and QSAR/QSPR studies. In this paper the lower and upper bounds of Zagreb indices, multiple Zagreb indices and F-index for rooted product of F-sum on connected graphs are determined.