Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs
Key Laboratory of Pattern Recognition and Intelligent Information Processing, Institutions of Higher Education of Sichuan Province, Chengdu University, Chengdu 610106, China
South China Business College, Guang Dong University of Foreign Studies, Guangzhou 510545, China
Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan
Department of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore，Lahore 54660, Pakistan
School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, China
Department of Applied Mathematics, Iran University of Science and Technology, Narmak, Tehran 16844, Iran
Author to whom correspondence should be addressed.
Received: 29 November 2018 / Revised: 12 December 2018 / Accepted: 13 December 2018 / Published: 14 December 2018
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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 (
) and geometric arithmetic (
) 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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Zhang, X.; Wu, X.; Akhter, S.; Jamil, M.K.; Liu, J.-B.; Farahani, M.R. Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs. Symmetry 2018, 10, 751.
Zhang X, Wu X, Akhter S, Jamil MK, Liu J-B, Farahani MR. Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs. Symmetry. 2018; 10(12):751.
Zhang, Xiujun; Wu, Xinling; Akhter, Shehnaz; Jamil, Muhammad K.; Liu, Jia-Bao; Farahani, Mohammad R. 2018. "Edge-Version Atom-Bond Connectivity and Geometric Arithmetic Indices of Generalized Bridge Molecular Graphs." Symmetry 10, no. 12: 751.
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