Kathleen Hake

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math.GT2018

Knotting Probability of Equilateral Hexagons

Kathleen Hake

For a positive integer $n \geq 3$ , the collection of $n$ -sided polygons embedded in $3$ -space defines the space of geometric knots. We will consider the subspace of equilateral knots…

math.GT2014

Topological Symmetry Groups of Complete Bipartite Graphs

Kathleen Hake, Blake Mellor, Matthew Pittluck

The symmetries of complex molecular structures can be modeled by the {\em topological symmetry group} of the underlying embedded graph. It is therefore important to understand whic…