The geometry of regular trees with the Faber-Krahn property

Discrete Mathematics

Volumn 245, Issue 1-3, 2002, Pages 155-172

  Leydold, Josef ^a  

^a VIENNA UNIVERSITY OF ECONOMICS AND BUSINESS   (Austria)

Author keywords

Dirichlet eigenvalue problem; Faber Krahn inequality; Graph laplacian; Regular tree

Indexed keywords

EID: 33750726808     PISSN: 0012365X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-365X(01)00139-X     Document Type: Article

References (6)

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3. Y. Colin de Verdière, Le trou spectral des graphes et leurs propriétés d'expansion, Séminaire de théorie spectral et géométrie, 1993-1994, pp. 51-68.
4. J. Friedman, Some geometric aspects of graphs and their eigenfunctions, Duke Math. J. 69 (3) (1993) 487-525.
5. J. Leydold, A Faber-Krahn-type inequality for regular trees, GAFA, Geom. Funct. Anal. 7 (2) (1997) 364-378.
6. A.R. Pruss, Discrete convolution-rearrangement inequalities and the Faber-Krahn inequality on regular trees, Duke Math. J. 91 (3) (1998) 463-514.