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The Geometry of Regular Trees with the Faber-Krahn Property

1998/01/01 by Josef Leydold, Leydold, Josef
Mathematics · #Geometric Analysis and Curvature Flows #Graph theory and applications #Point processes and geometric inequalities

paper · doi:10.57938/9d3e0574-f29f-4d39-a42b-265f25915c08

openalex publication_date 1998/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper we prove a Faber-Krahn-type inequality for regular trees and give a complete characterization of extremal trees. It extends a former result of the author. The main tools are rearrangements and perturbation of regular trees. (author's abstract)

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