On Randić energy of graphs
Abstract Let di be the degree of vertex vi of G then Randić matrix R(G) = [rij ] is defined as rij = 1/ √didj, if the vertices vi and vj are adjacent in G or rij = 0, otherwise. The Randić energy is the sum of absolute values of the eigenvalues of R(G). In this paper we have investigated Randić energy of m-Splitting and m-Shadow graphs. We also have constructed a sequence of graphs having same Randić energy.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Universidad Católica del Norte, Departamento de Matemáticas
2023
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| Online Access: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172023000100205 |
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| Summary: | Abstract Let di be the degree of vertex vi of G then Randić matrix R(G) = [rij ] is defined as rij = 1/ √didj, if the vertices vi and vj are adjacent in G or rij = 0, otherwise. The Randić energy is the sum of absolute values of the eigenvalues of R(G). In this paper we have investigated Randić energy of m-Splitting and m-Shadow graphs. We also have constructed a sequence of graphs having same Randić energy. |
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