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Topological indices of the line graph of subdivision graphs and their Schur-bounds

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  • Su, Guifu
  • Xu, Lan

Abstract

In this paper, we investigate topological indices of the line graphs of the tadpole graphs, wheel graphs and ladder graphs using the subdivision concept, which generalize the results of Ranjini et al. (2011). In addition, we present the Schur-bound for the general sum-connectivity co-index.

Suggested Citation

  • Su, Guifu & Xu, Lan, 2015. "Topological indices of the line graph of subdivision graphs and their Schur-bounds," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 395-401.
  • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:395-401
    DOI: 10.1016/j.amc.2014.10.053
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    Citations

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    Cited by:

    1. Adnan Aslam & Muhammad Faisal Nadeem & Zohaib Zahid & Sohail Zafar & Wei Gao, 2019. "Computing Certain Topological Indices of the Line Graphs of Subdivision Graphs of Some Rooted Product Graphs," Mathematics, MDPI, vol. 7(5), pages 1-9, April.
    2. Nadeem, Muhammad Faisal & Zafar, Sohail & Zahid, Zohaib, 2016. "On topological properties of the line graphs of subdivision graphs of certain nanostructures," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 125-130.
    3. Shahid Imran & Muhammad Kamran Siddiqui & Muhammad Imran & Muhammad Faisal Nadeem, 2018. "Computing Topological Indices and Polynomials for Line Graphs," Mathematics, MDPI, vol. 6(8), pages 1-10, August.
    4. Nadeem, Muhammad Faisal & Zafar, Sohail & Zahid, Zohaib, 2015. "On certain topological indices of the line graph of subdivision graphs," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 790-794.
    5. Jia-Bao Liu & Zohaib Zahid & Ruby Nasir & Waqas Nazeer, 2018. "Edge Version of Metric Dimension and Doubly Resolving Sets of the Necklace Graph," Mathematics, MDPI, vol. 6(11), pages 1-10, November.
    6. Walter Carballosa & José Manuel Rodríguez & José María Sigarreta & Nodari Vakhania, 2019. "f -Polynomial on Some Graph Operations," Mathematics, MDPI, vol. 7(11), pages 1-18, November.
    7. Chen, Xiaohong, 2023. "General sum-connectivity index of a graph and its line graph," Applied Mathematics and Computation, Elsevier, vol. 443(C).

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