Mobius energy of graphs
Mathematical Physics
2007-05-23 v1 Geometric Topology
math.MP
Abstract
In the present paper we introduce Mobius energy for the embedded graphs and formulate its main properties. This energy is invariant under the action of the group generated by all inversions in three-dimensional real space. We study critical configurations for the angles at vertices of degree less than five, and discuss the techniques of construction of symmetric toric embedded graphs with critical values of Mobius energy.
Cite
@article{arxiv.math-ph/0509055,
title = {Mobius energy of graphs},
author = {Oleg Karpenkov},
journal= {arXiv preprint arXiv:math-ph/0509055},
year = {2007}
}