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The spectra of the adjacency matrix and Laplacian matrix for some balanced trees

✍ Scribed by Oscar Rojo; Ricardo Soto


Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
282 KB
Volume
403
Category
Article
ISSN
0024-3795

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πŸ“œ SIMILAR VOLUMES


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be the Laplacian matrix of G. When G is a tree or a bipartite graph we obtain bounds for the permanent of L(G) both in terms of n only and in terms of d 1 ..... d,. Improved bounds are obtained in terms of the diameter of T and the size of a matching in T.

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Recently, several results bounding above the diameter and/or the mean distance of a graph from its eigenvalues have been presented. They use the eigenvalues of either the adjacency or the Laplacian matrix of the graph. The main object of this paper is to compare both methods. As expected, they are e