Numerous graph energies of regular subdivision graph and complete graph

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...

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Veröffentlicht in:AIMS Mathematics 2021-01, Vol.6 (8), p.8466-8476
Hauptverfasser: Kousar, Imrana, Nazeer, Saima, Mahboob, Abid, Shahid, Sana, Lv, Yu-Pei
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Sprache:eng
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Zusammenfassung: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, Randic 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. Keywords: graph; graph energy; Zagreb index; Randic index; graph matrices Mathematics Subject Classification: 14H50, 14H20, 32S15
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021491