Quotation Biyikoglu, Türker, Hellmuth, Marc, Leydold, Josef. 2009. Largest eigenvalues of the discrete p-laplacian of trees with degree sequences. Department of Statistics and Mathematics, Research Report Series, Report 85.


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Abstract

We characterize trees that have greatest maximum p-Laplacian eigenvalue among all trees with a given degree sequence. We show that such extremal trees can be obtained by breadth-first search where the vertex degrees are non-increasing. These trees are uniquely determined up to isomorphism. Moreover, their structure does not depend on p.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Working/discussion paper, preprint
Language English
Title Largest eigenvalues of the discrete p-laplacian of trees with degree sequences
Title of whole publication Department of Statistics and Mathematics, Research Report Series, Report 85
Year 2009
URL http://epub.wu-wien.ac.at/dyn/virlib/wp/showentry?ID=epub-wu-01_ea6&from=NEW&style=blank

Associations

People
Leydold, Josef (Details)
External
Biyikoglu, Türker
Hellmuth, Marc
Organization
Institute for Statistics and Mathematics IN (Details)
Research Institute for Computational Methods FI (Details)
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