The graph energy $ E(G) $ of a simple graph $ G $ is sum of its absolute eigenvalues where eigenvalues of adjacency matrix $ A(G) $ are referred as eigenvalues of graph $ G $. Depends upon eigenvalues of different graph matrices, several graph energies has been observed recently such as maximum degree energy, Randi$ \acute{c} $ energy, sum-connectivity energy etc. Depending on the definition of a graph matrix, the graph energy can be easily determined. This article contains upper bounds of several graph energies of $ s $-regular subdivision graph $ S(G) $. Also various graph energies of complete graph are mentioned in this article.
Citation: Imrana Kousar, Saima Nazeer, Abid Mahboob, Sana Shahid, Yu-Pei Lv. Numerous graph energies of regular subdivision graph and complete graph[J]. AIMS Mathematics, 2021, 6(8): 8466-8476. doi: 10.3934/math.2021491
The graph energy $ E(G) $ of a simple graph $ G $ is sum of its absolute eigenvalues where eigenvalues of adjacency matrix $ A(G) $ are referred as eigenvalues of graph $ G $. Depends upon eigenvalues of different graph matrices, several graph energies has been observed recently such as maximum degree energy, Randi$ \acute{c} $ energy, sum-connectivity energy etc. Depending on the definition of a graph matrix, the graph energy can be easily determined. This article contains upper bounds of several graph energies of $ s $-regular subdivision graph $ S(G) $. Also various graph energies of complete graph are mentioned in this article.
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Imrana Kousar, Saima Nazeer, Abid Mahboob, Sana Shahid, Yu-Pei Lv. Numerous graph energies of regular subdivision graph and complete graph[J]. AIMS Mathematics, 2021, 6(8): 8466-8476. doi: 10.3934/math.2021491
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