@techreport{4effa10f3eb243168dbc74534a2728f0,
title = "Faber-Krahn Type Inequalities for Trees",
abstract = "The Faber-Krahn theorem states that among all bounded domains with the same volume in Rn (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.",
author = "T{\"u}rker Biyikoglu and Josef Leydold",
year = "2003",
doi = "10.57938/4effa10f-3eb2-4316-8dbc-74534a2728f0",
language = "English",
series = "Preprint Series / Department of Applied Statistics and Data Processing",
number = "50",
publisher = "Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business",
edition = "May 2003",
type = "WorkingPaper",
institution = "Department of Statistics and Mathematics, Abt. f. Angewandte Statistik u. Datenverarbeitung, WU Vienna University of Economics and Business",
}