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On Some Structural Properties of Integer-Based Graphs and Their Topological Indices

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  • Faqir M. Bhatti
  • Muhammad Malooq
  • Jihad Ahmad
  • Iqra Zaman
  • Muhammad Usman
  • Gohar Ali

Abstract

Integer partition plays an important role in different fields like graph theory and number theory. This paper comprises different properties of the integer partition-based graphs. These properties give an idea about the structural properties like degree of the vertices. Furthermore, topological index of the graphs is considered as a transformation of a chemical structure into an integer number. We discussed two very important indices, namely, harmonic index and Randic index, for these particular graphs.

Suggested Citation

  • Faqir M. Bhatti & Muhammad Malooq & Jihad Ahmad & Iqra Zaman & Muhammad Usman & Gohar Ali, 2022. "On Some Structural Properties of Integer-Based Graphs and Their Topological Indices," Journal of Mathematics, Hindawi, vol. 2022, pages 1-6, August.
    • Handle: RePEc:hin:jjmath:5481940
    DOI: 10.1155/2022/5481940
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