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

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

2011-12-22

arxiv.org/abs/1112.6323v1

Mathematics

General Mathematics

6 pages, 3 figures

Scientific paper

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".

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