On Randic, Seidel, and Laplacian Energy of NEPS Graph

Kun Han, S. Ahmad, Syed Ajaz K. Kirmani, M. K. Siddiqui, Y. Ali, E. Bashier and Gul Rahmat

Journal of Mathematics, 2022, vol. 2022, 1-8

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:6553359

DOI: 10.1155/2022/6553359

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