Molecular description of carbon graphite and crystal cubic carbon structures

Topological indices are graph invariants computed by the distance or degree of vertices of the molecular graph. In chemical graph theory, topological indices have been successfully used in describing the structures and predicting certain physicochemical properties of chemical compounds. In this paper, we propose a definition of generalized bridge molecular graphs that can model more kinds of long chain polymerization products than the bridge molecular graphs, and provide some results of the edge versions of atom-bond connectivity ( A B C e ) and geometric arithmetic ( G A e ) indices for some generalized bridge molecular graphs, which have regular, periodic and symmetrical structures. The results of this paper offer promising prospects in the applications for chemical and material engineering, especially in chemical industry research.

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“…[12] [5,13,14] geometric arithmetic index [15] [ [16][17][18] edge version of GA index GA e (G) = ∑ [19] [ 5,12,[19][20][21] In…”

Section: Introductionmentioning

confidence: 99%

Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs

et al. 2018

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“…Gao et al [20,21] created concoction structures in medications and processed overlooked topological indices. As of late, Baig et al [22] computed and graphically portrayed topological descriptors of concoction graphs of carbon graphite and precious stone cubic carbon structures. Different utilizations of atomic descriptors of subatomic diagrams and systems are given in the reference list and the references in [23,24].…”

Section: Applications Of Topological Indicesmentioning

confidence: 99%

Topological Characterization of the Symmetrical Structure of Bismuth Tri-Iodide

et al. 2018

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The bismuth tri-iodide (BiI 3) is an inorganic compound. It is the result of the response of bismuth and iodine, which has inspired enthusiasm for subjective inorganic investigation. The topological indices are the numerical invariants of the molecular graph that portray its topology and are normally graph invariants. In 1975, Randic presented, in a bond-added substance, a topological index as a descriptor for portraying subatomic branching. In this paper, we investigate the precious stone structure of bismuth tri-iodide chain and sheet. Moreover, exact formulas of degree-based added-substance topological indices principally the first, second, and hyper Zagreb indices, the general Randic index, the geometric-arithmetic index, the fourth atom-bond connectivity index, and the fifth geometric arithmetic index of the subatomic graph of bismuth tri-iodide for both chain and sheet structures are determined.

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“…The structure of precious stone cubic carbon (or gem structure of cubic carbon ) is comprised of 3D squares and was talked about in [23]. The atomic chart of precious stone cubic carbon CCC(n) for the first level is portrayed in Figure 1.…”

Section: Eccentric Index Of Crystal Structure Of Cubic Carbonmentioning

confidence: 99%

Degree-Distance Based Topological Indices of Crystal Cubic Carbon Structure

Hong

Siddiqui

Arshad

et al. 2018

Atoms

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Chemical graph theory comprehends the basic properties of an atomic graph. The sub-atomic diagrams are the graphs that are comprised of particles called vertices and the covalent bond between them are called edges. The eccentricity ϵ u of vertex u in an associated graph G, is the separation among u and a vertex farthermost from u. In this article, we consider the precious stone structure of cubic carbon and registered Eccentric-connectivity index ξ ( G ) , Eccentric connectivity polynomial E C P ( G , x ) and Connective Eccentric index C ξ ( G ) of gem structure of cubic carbon for n-levels.

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Molecular description of carbon graphite and crystal cubic carbon structures

Cited by 45 publications

References 20 publications

Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs

Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs

Topological Characterization of the Symmetrical Structure of Bismuth Tri-Iodide

Degree-Distance Based Topological Indices of Crystal Cubic Carbon Structure

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