Quotation Biyikoglu, Türker, Hellmuth, Marc, Leydold, Josef. 2008. Largest Laplacian Eigenvalue and Degree Sequences of Trees. Wien: Department of Statistics and Mathematics, Research Report Series, Report 64.


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Abstract

We investigate the structure of trees that have greatest maximum eigenvalue among all trees with a given degree sequence. We show that in such an extremal tree the degree sequence is non-increasing with respect to an ordering of the vertices that is obtained by breadth-first search. This structure is uniquely determined up to isomorphism. We also show that the maximum eigenvalue in such classes of trees is strictly monotone with respect to majorization.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Working/discussion paper, preprint
Language English
Title Largest Laplacian Eigenvalue and Degree Sequences of Trees
Year 2008
URL http://epub.wu-wien.ac.at/dyn/openURL?id=oai:epub.wu-wien.ac.at:epub-wu-01_d46

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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