Resource title

Faber-Krahn Type Inequalities for Trees

Resource image

image for OpenScout resource :: Faber-Krahn Type Inequalities for Trees

Resource description

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's abstract) ; Series: Preprint Series / Department of Applied Statistics and Data Processing

Resource author

Türker Biyikoglu, Josef Leydold

Resource publisher

Resource publish date

Resource language

en

Resource content type

application/pdf

Resource resource URL

http://epub.wu.ac.at/826/1/document.pdf

Resource license

Adapt according to the license agreement. Always reference the original source and author.