On Randic, Seidel, and Laplacian Energy of NEPS Graph

JOURNAL OF MATHEMATICS(2022)

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摘要
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 Z(i). In particular, we investigate the Randic, Seidel, and Laplacian energies of the NEPS of path graph P-n with any base B. Here, n denotes the number of vertices and i denotes the number of copies of path graph P-n. Some of the results depend on the number of zeroes in base elements, for which we use the notation j.
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