Faber-Krahn Type Inequalities for Trees
| dc.creator | Biyikoglu, Tuerker | |
| dc.creator | Leydold, Josef | |
| dc.date | 2003-12-15 | |
| dc.date.accessioned | 2026-07-07T05:03:55Z | |
| dc.date.available | 2026-07-07T05:03:55Z | |
| dc.description | The Faber-Krahn theorem states that among all bounded domains with the same volume in ${\mathbb R}^n$ (with the standard Euclidean metric), a ball that has lowest first Dirichlet eigenvalue. Recently it has been shown that a similar result holds for (semi-)regular trees. In this article we show that such a theorem also hold for other classes of (not necessarily non-regular) trees. However, for these new results no couterparts in the world of the Laplace-Beltrami-operator on manifolds are known. | |
| dc.description | 19 pages, 5 figures | |
| dc.identifier | https://arxiv.org/abs/math/0312287 | |
| dc.identifier | http://arxiv.org/abs/math/0312287 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69604 | |
| dc.subject | Combinatorics | |
| dc.subject | Spectral Theory | |
| dc.subject | 05C35; 05C75; 05C05; 05C50 | |
| dc.title | Faber-Krahn Type Inequalities for Trees | |
| dc.type | text |