The Geometry of Regular Trees with the Faber-Krahn Property

Josef Leydold

Working Papers from Santa Fe Institute

Abstract: In this paper we prove a Faber-Krahn-type inequality for regular trees and give a complete characterization of extremal trees. The main tools are rearrangements and perturbation of regular trees.

Keywords: Regular tree; graph Laplacian; Dirichlet eigenvalue problem; Faber-Krahn inequality (search for similar items in EconPapers)
Date: 1998-08
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Persistent link: https://EconPapers.repec.org/RePEc:wop:safiwp:98-08-068

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