Quotation Biyikoglu, Türker , Leydold, Josef. 2008. Graphs With Given Degree Sequence and Maximal Spectral Radius. Department of Statistics and Mathematics, Research Report Series, Report 72.


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Abstract

We describe the structure of those graphs that have largest spectral radius in the class of all connected graphs with a given degree sequence. We show that in such a graph the degree sequence is non-increasing with respect to an ordering of the vertices induced by breadth-first search. For trees the resulting structure is uniquely determined up to isomorphism. We also show that the largest spectral radius in such classes of trees is strictly monotone with respect to majorization. This paper is the revised final version of the preprint no. 35 of this research report series.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Working/discussion paper, preprint
Language English
Title Graphs With Given Degree Sequence and Maximal Spectral Radius
Title of whole publication Department of Statistics and Mathematics, Research Report Series, Report 72
Year 2008
URL http://epub.wu-wien.ac.at/dyn/virlib/wp/showentry?ID=epub-wu-01_dff&from=NEW&style=blank

Associations

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