The Fiedler Rose: On the extreme points of the Fiedler vector

Abstract

In this paper I present a counter-example to the conjecture: The Fiedler vector for the graph Laplacian of a tree has its most extreme values at the verticies which are the farthest apart. This counter-example looks roughly like a flower and so I have named it the "Fiedler rose".

6 pages, 3 figures

Cited by in corpus (4)

• Fiedler Vectors and Elongation of Graphs: A Threshold Phenomenon on a Particular Class of Trees
• Extreme Values of the Fiedler Vector on Trees
• The Effects of Structural Perturbations on the Synchronizability of Diffusive Networks
• On the hot spots of quantum trees