Browsing by Author "Chu, Yu-Ming"

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Degree-Based Topological Aspects of Polyphenylene Nanostructures
(Taylor & Francis Ltd, 2022) Chu, Yu-Ming; Numan, Muhammad; Butt, Saad Ihsan; Siddiqui, Muhammad Kamran; Ullah, Rizwan; Cancan, Murat; Ali, Usman
In a molecular graph, molecules are associated with some numerical values these values are known as topological indices. From the M-polynomial of molecular structure we can derived degree based topological indices. We can derived chemical and physical properties of chemical compound from the topological indices. To find the strain energy, melting point, boiling point, distortion and stability of chemical compound usually mathematician used topological indices. Moreover topological indices also make relation between biological activities of compound with physical properties. In this paper, we determined the M-polynomials of the structure of the molecules of polyphenylene nanotube and nanotori. Then we derived some closed formulas for well-known topological indices, first Zagreb index, second Zagreb index, second Modified Zagreb index mM(2)(G) general Randic index, Symmetric division index, Harmonic index, inverse sum index for polyphenylene nanotube structure of molecules.
On Analysis of Thermodynamic Properties of Cuboctahedral Bi-Metallic Structure
(Walter de Gruyter Gmbh, 2021) Siddiqui, Muhammad Kamran; Chu, Yu-Ming; Nasir, Muhammad; Cancan, Murat
Porous materials, for example, metalnatural structures (MOFs) and their discrete partners metalnatural polyhedra (MOPs), that are built from coordinatively unsaturated inorganic hubs show incredible potential for application in gas adsorption/partition cycles, catalysis, and arising openings in hardware, optics, detecting, and biotechnology. A well-known hetero-bimetallic metalorganic polyhedra of this discrete partners metalnatural polyhedra (MOPs) class is cuboctahedral bi-metallic stricture. In this paper, we discuss the stricture of Hetero-bimetallic metalorganic polyhedra (cuboctahedral bi-metallic). Also, we computed the topological indices based on the degree of atoms in this cuboctahedral bi-metallic structure.
On Reverse Degree Based Topological Indices of Polycyclic Metal Organic Network
(Taylor & Francis Ltd, 2022) Zhao, Dongming; Chu, Yu-Ming; Siddiqui, Muhammad Kamran; Ali, Kashif; Nasir, Muhammad; Younas, Muhammad Tayyab; Cancan, Murat
In this article we discuss the reverse degree based topological indices for planar metal-organic networks like transition metal (TM) of the threedimensional series such as: Ti, V, Cr, ..., or Zn, phthalocyanine, and tetracyanobenzene (TCNB) as free-standing sheets. In distinction, the TM-TCNB networks are metallic at least in one revolutionary orientation and demonstrate long-range ferromagnetic connect in case for magnetic erection, which illustrate ideal entrant and a stimulating prospect of unequaled applications in spintronics. Topological indices are numerical variables of a graph which describe its topology and are usually graph invariant. We have computed the reverse degree based topological indices like the reverse general Randic index, the reverse Balaban index, the reverse atom bond connectivity index, the reverse geometric index, the reverse Zagreb type indices, and the reverse augmented Zagreb index for this metalorganic networks TM-TCNB.
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.