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On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index

Author

Listed:
  • Wael W. Mohammed
  • Shahzad Ahmed
  • Zahid Raza
  • Jia-Bao Liu
  • Farooq Ahmad
  • Elsayed M. Elsayed
  • Tomas Vertik

Abstract

For a graph G, its sum-connectivity index is denoted by χG and is defined as the sum of the numbers du+dv−1/2 over all edges uv of G, where dw denotes the degree of a vertex w∈VG. In this study, we find a sharp lower bound on the sum-connectivity index of graphs having minimum degree of at least 3 under certain constraints and characterize the corresponding extremal graphs.

Suggested Citation

  • Wael W. Mohammed & Shahzad Ahmed & Zahid Raza & Jia-Bao Liu & Farooq Ahmad & Elsayed M. Elsayed & Tomas Vertik, 2022. "On the Graphs of Minimum Degree At Least 3 Having Minimum Sum-Connectivity Index," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, February.
    • Handle: RePEc:hin:jjmath:1203303
    DOI: 10.1155/2022/1203303
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