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## On topological properties of some convex polytopes by using line operator on their subdivisions

#### Fatima ASİF [1] , Zohaib ZAHİD [2] , Sohail ZAFAR [3] , Mohammad R. FARAHANİ [4] , Wei GAO [5]

In this paper, we give theoretical results for some topological indices such as Zagreb indices $M_{1}(G)$, $M_{2}(G)$, $M_{3}(G)$, $R(G)$, $M_{1}(\overline{G})$, $M_{2}(\overline{G})$, Zagreb coindices $\overline{M_{1}}(G)$, $\overline{M_{2}}(G)$, $\overline{M_{2}}(\overline{G})$ hyper-Zagreb index $HM(G)$,atom-bond connectivity index $ABC(G)$, sum connectivity index $\chi(G)$ and geometric-arithmetic connectivity index $GA(G)$, by considering $G$ as line graph of subdivision of some convex polytopes and $\overline{G}$ denotes its complement.
Topological indices, line graph, subdivision, convex polytopes
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Primary Language en Mathematics Mathematics Orcid: 0000-0002-5459-9923Author: Fatima ASİF Institution: University of Management and TechnologyCountry: Pakistan Orcid: 0000-0003-3797-7029Author: Zohaib ZAHİD Institution: University of Management and TechnologyCountry: Pakistan Orcid: 0000-0002-8177-7799Author: Sohail ZAFAR Institution: University of Management and TechnologyCountry: Pakistan Orcid: 0000-0003-2969-4280Author: Mohammad R. FARAHANİ Institution: Iran University of Science and TechnologyCountry: Iran Orcid: 0000-0001-8744-9334Author: Wei GAO Institution: Yunnan Normal UniversityCountry: China Publication Date : February 6, 2020
 Bibtex @research article { hujms535415, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {136 - 146}, doi = {10.15672/HJMS.2019.671}, title = {On topological properties of some convex polytopes by using line operator on their subdivisions}, key = {cite}, author = {ASİF, Fatima and ZAHİD, Zohaib and ZAFAR, Sohail and FARAHANİ, Mohammad R. and GAO, Wei} } APA ASİF, F , ZAHİD, Z , ZAFAR, S , FARAHANİ, M , GAO, W . (2020). On topological properties of some convex polytopes by using line operator on their subdivisions. Hacettepe Journal of Mathematics and Statistics , 49 (1) , 136-146 . DOI: 10.15672/HJMS.2019.671 MLA ASİF, F , ZAHİD, Z , ZAFAR, S , FARAHANİ, M , GAO, W . "On topological properties of some convex polytopes by using line operator on their subdivisions". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 136-146 Chicago ASİF, F , ZAHİD, Z , ZAFAR, S , FARAHANİ, M , GAO, W . "On topological properties of some convex polytopes by using line operator on their subdivisions". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 136-146 RIS TY - JOUR T1 - On topological properties of some convex polytopes by using line operator on their subdivisions AU - Fatima ASİF , Zohaib ZAHİD , Sohail ZAFAR , Mohammad R. FARAHANİ , Wei GAO Y1 - 2020 PY - 2020 N1 - doi: 10.15672/HJMS.2019.671 DO - 10.15672/HJMS.2019.671 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 136 EP - 146 VL - 49 IS - 1 SN - 2651-477X-2651-477X M3 - doi: 10.15672/HJMS.2019.671 UR - https://doi.org/10.15672/HJMS.2019.671 Y2 - 2018 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On topological properties of some convex polytopes by using line operator on their subdivisions %A Fatima ASİF , Zohaib ZAHİD , Sohail ZAFAR , Mohammad R. FARAHANİ , Wei GAO %T On topological properties of some convex polytopes by using line operator on their subdivisions %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 1 %R doi: 10.15672/HJMS.2019.671 %U 10.15672/HJMS.2019.671 ISNAD ASİF, Fatima , ZAHİD, Zohaib , ZAFAR, Sohail , FARAHANİ, Mohammad R. , GAO, Wei . "On topological properties of some convex polytopes by using line operator on their subdivisions". Hacettepe Journal of Mathematics and Statistics 49 / 1 (February 2020): 136-146 . https://doi.org/10.15672/HJMS.2019.671 AMA ASİF F , ZAHİD Z , ZAFAR S , FARAHANİ M , GAO W . On topological properties of some convex polytopes by using line operator on their subdivisions. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 136-146. Vancouver ASİF F , ZAHİD Z , ZAFAR S , FARAHANİ M , GAO W . On topological properties of some convex polytopes by using line operator on their subdivisions. Hacettepe Journal of Mathematics and Statistics. 2020; 49(1): 146-136.

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