In this paper, we give theoretical results for some topological indices such as Zagreb indices$M_1$(G),M_2$(G),M_3$(G),R(G),M_1$(G),M_2$(G), Zagreb coindicesM_1$(G),M_2$(G),M_2$(G)hyper-Zagreb indexHM(G), atom-bond connectivity indexABC(G), sum connectivityindexχ(G)and geometric-arithmetic connectivity indexGA(G), by consideringGas linegraph of subdivision of some convex polytopes andGdenotes its complement.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we give theoretical results for some topological indices such as Zagreb indices$M_1$(G),M_2$(G),M_3$(G),R(G),M_1$(G),M_2$(G), Zagreb coindicesM_1$(G),M_2$(G),M_2$(G)hyper-Zagreb indexHM(G), atom-bond connectivity indexABC(G), sum connectivityindexχ(G)and geometric-arithmetic connectivity indexGA(G), by consideringGas linegraph of subdivision of some convex polytopes andGdenotes its complement.
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Key Findings & Data:In this paper, we give theoretical results for some topological indices such as Zagreb indices$M_1$(G),M_2$(G),M_3$(G),R(G),M_1$(G),M_2$(G), Zagreb coindicesM_1$(G),M_2$(G),M_2$(G)hyper-Zagreb indexHM(G), atom-bond connectivity indexABC(G), sum connectivityindexχ(G)and geometric-arithmetic connectivity indexGA(G), by consideringGas linegraph of subdivision of some convex polytopes andGdenotes its complement.
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Conclusion & Impact:In this paper, we give theoretical results for some topological indices such as Zagreb indices$M_1$(G),M_2$(G),M_3$(G),R(G),M_1$(G),M_2$(G), Zagreb coindicesM_1$(G),M_2$(G),M_2$(G)hyper-Zagreb indexHM(G), atom-bond connectivity indexABC(G), sum connectivityindexχ(G)and geometric-arithmetic connectivity indexGA(G), by consideringGas linegraph of subdivision of some convex polytopes andGdenotes its complement.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, we give theoretical results for some topological indices such as Zagreb indices$M_1$(G),M_2$(G),M_3$(G),R(G),M_1$(G),M_2$(G), Zagreb coindicesM_1$(G),M_2$(G),M_2$(G)hyper-Zagreb indexHM(G), atom-bond connectivity indexABC(G), sum connectivityindexχ(G)and geometric-arithmetic connectivity indexGA(G), by consideringGas linegraph of subdivision of some convex polytopes andGdenotes its complement.
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Cite This Article
FARAHANİ, M. R., ASİF, F., ZAHİD, Z., ZAFAR, S., GAO, W. (2022). On topological properties of some convexpolytopes by using line operator on theirsubdivisions. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 1, 136–146. https://ajindex.com/articles/529707
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