A Faber-Krahn-type inequality for regular trees
نویسنده
چکیده
We show a Faber-Krahn-type inequality for regular trees with boundary.
منابع مشابه
The geometry of regular trees with the Faber?Krahn property
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. 1. Introduction In the last years some results for the Laplacian on manifolds have been shown to hold also for the graph Laplacian, e.g. Courant's nodal domain theorem ((dV93, Fri93]) or Cheeger's ineq...
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