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On Randic, Seidel, and Laplacian Energy of NEPS Graph

Author

Listed:
  • Kun Han
  • S. Ahmad
  • Syed Ajaz K. Kirmani
  • M. K. Siddiqui
  • Y. Ali
  • E. Bashier
  • Gul Rahmat

Abstract

Let Z be the simple graph; then, we can obtain the energy EZ of a graph Z by taking the absolute sum of the eigenvalues of the adjacency matrix of Z. In this research, we have computed different energy invariants of the noncompleted extended P-Sum (NEPS) of graph Zi. In particular, we investigate the Randic, Seidel, and Laplacian energies of the NEPS of path graph Pni with any base ℬ. Here, n denotes the number of vertices and i denotes the number of copies of path graph Pn. Some of the results depend on the number of zeroes in base elements, for which we use the notation j.

Suggested Citation

  • Kun Han & S. Ahmad & Syed Ajaz K. Kirmani & M. K. Siddiqui & Y. Ali & E. Bashier & Gul Rahmat, 2022. "On Randic, Seidel, and Laplacian Energy of NEPS Graph," Journal of Mathematics, Hindawi, vol. 2022, pages 1-8, February.
    • Handle: RePEc:hin:jjmath:6553359
    DOI: 10.1155/2022/6553359
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