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Computing Topological Indices and Polynomials for Line Graphs

Author

Listed:
  • Shahid Imran

    (Govt Khawaja Rafique Shaheed College, Lahore 54000, Pakistan)

  • Muhammad Kamran Siddiqui

    (Department of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, Pakistan)

  • Muhammad Imran

    (Department of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, UAE
    Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad 44000, Pakistan)

  • Muhammad Faisal Nadeem

    (Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan)

Abstract

A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:8:p:137-:d:163155
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    References listed on IDEAS

    as
    1. Siddiqui, Muhammad Kamran & Imran, Muhammad & Ahmad, Ali, 2016. "On Zagreb indices, Zagreb polynomials of some nanostar dendrimers," Applied Mathematics and Computation, Elsevier, vol. 280(C), pages 132-139.
    2. Bača, Martin & Horváthová, Jarmila & Mokrišová, Martina & Suhányiová, Alžbeta, 2015. "On topological indices of fullerenes," Applied Mathematics and Computation, Elsevier, vol. 251(C), pages 154-161.
    3. 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.
    4. 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.
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