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On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks

Author

Listed:
  • Salma Kanwal
  • Shanshan Shang
  • Muhammad Kamran Siddiqui
  • Tahira Sumbal Shaikh
  • Ammara Afzal
  • Anton Asare-Tuah

Abstract

In this paper, we have taken review of certain topological topological characteristics of subdivision and the line graph of subdivision of Kragujevac tree. A Kragujevac tree is denoted by , , with order and size , respectively. We have computed the Zagreb polynomials, forgotten polynomial, and M -polynomial for Kragujevac tree. Moreover, we have computed topological indices like Zagreb-type indices, reduced reciprocal Randić indices, family of Gourava indices as well as forgotten index. Further, some topological indices that can be directly derived from M -polynomial, i.e., first and second Zagreb index, modified second Zagreb index, Randić and reciprocal Randić index, symmetric division and harmonic index, and inverse sum and augmented Zagreb index are also computed.

Suggested Citation

  • Salma Kanwal & Shanshan Shang & Muhammad Kamran Siddiqui & Tahira Sumbal Shaikh & Ammara Afzal & Anton Asare-Tuah, 2021. "On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-15, November.
    • Handle: RePEc:hin:jnlmpe:9082320
    DOI: 10.1155/2021/9082320
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