Improved bounds for the Laplacian energy of Bethe trees |
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Authors: | Mar?´ a Robbiano,Raú l Jimé nez |
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Affiliation: | Departamento de Matemáticas, Universidad Católica del Norte, Avenida Angamos 0610, Antofagasta, Chile |
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Abstract: | For k, d?2, a Bethe tree is a rooted tree with k levels which the root vertex has degree d, the vertices from level 2 to k-1 have degree d+1 and the vertices at the level k are pendent vertices. So et al, using a theorem by Ky Fan have obtained both upper and lower bounds for the Laplacian energy of bipartite graphs. We shall employ the above mentioned theorem to obtain new and improved bounds for the Laplacian energy in the case of Bethe trees. |
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Keywords: | 05C50 05C90 |
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