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The spectrum of the laplacian matrix of a balanced 2ᵖ-ary tree

  • Rojo, Oscar [1]
    1. [1] Universidad Católica del Norte

      Universidad Católica del Norte

      Antofagasta, Chile

  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 23, Nº. 2, 2004, págs. 131-149
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172004000200006
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  • Referencias bibliográficas
    • Citas [1] L. N. Trefethen and D. Bau, III, Numerical Linear Algebra, Society for Industrial and Applied Mathematics, (1997).
    • [2] A. Cantoni and P. Butler, Eigenvalues and eigenvectors of symmetric centrosymmetric matrices, Linear Algebra Appl. 13, pp. 275-288, (1976).
    • [3] M. Fiedler, Algebraic connectivity of graphs, Czechoslovak Math. J., 23: pp. 298-305, (1973).
    • [4] G. H. Golub and C. F. Van Loan, Matrix Computations, 2d. ed., Baltimore: Johns Hopkins University Press, (1989).
    • [5] R. Grone, R Merris and V. S. Sunder, The Laplacian spectrum of a graph, SIAM J. Matrix Ana. Appl. 11 (2), pp. 218-238, (1990).
    • [6] F. B. Hildebrand, Finite-Difference Equations and Simulations, Prentice-Hall,Inc., Englewood Cliffs, N.J., (1968).
    • [7] R. Merris, Laplacian Matrices of Graphs: A Survey, Linear Algebra Appl. 197, 198: pp. 143-176, (1994).
    • [8] J. J. Molitierno, M. Neumann and B. L. Shader, Tight bounds on the algebraic connectivity of a balanced binary tree, Electronic Journal...
    • [9] O. Rojo, The spectrum of the Laplacian matrix of a balanced binary tree, Linear Algebra Appl. 349, pp. 203-219, (2002).
    • [10] O. Rojo and M. Peña, A note on the integer eigenvalues of the Laplacian matrix of a balanced binary tree, Linear Algebra Appl. 362, pp....

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