Semiregular Trees with Minimal Laplacian Spectral Radius

Türker Biyikoglu, Josef Leydold

Publikation: Working/Discussion PaperWU Working Paper

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Abstract

A semiregular tree is a tree where all non-pendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency / Laplacian) spectral radius is a caterpillar. Counter examples show that the result cannot be generalized to the class of trees with a given (non-constant) degree sequence.
OriginalspracheEnglisch
DOIs
PublikationsstatusVeröffentlicht - 1 Okt. 2009

Publikationsreihe

ReiheResearch Report Series / Department of Statistics and Mathematics
Nummer93

WU Working Paper Reihe

  • Research Report Series / Department of Statistics and Mathematics

Zitat