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.
机构:
Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
Nankai Univ, LPMC TJKLC, Tianjin 300071, Peoples R ChinaNankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
Li, Xueliang
Wang, Jianfeng
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机构:
Nankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China
Nankai Univ, LPMC TJKLC, Tianjin 300071, Peoples R China
Qinghai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R ChinaNankai Univ, Ctr Combinator, Tianjin 300071, Peoples R China