21 citations · 23 across the 4 of their papers we have counts for
4 papers · 1 filter
Every graph has an embedding in containing no non-hyperbolic knot
Erica Flapan, Hugh Howards
In contrast with knots, whose properties depend only on their extrinsic topology in , there is a rich interplay between the intrinsic structure of a graph and the extrinsic to…
A Topological Characterization Of Knots and Links Arising From Site-Specific Recombination
Dorothy Buck, Erica Flapan
We develop a topological model of knots and links arising from a single (or multiple processive) round(s) of recombination starting with an unknot, unlink, or (2,m)-torus knot or l…
Intrinsic linking and knotting are arbitrarily complex
Erica Flapan, Blake Mellor, Ramin Naimi
We show that, given any and , every embedding of any sufficiently large complete graph in contains an oriented link with components , ..., such tha…
Intrinsic linking and knotting of graphs in arbitrary 3-manifolds
Erica Flapan, Hugh Howards, Don Lawrence +1
We prove that a graph is intrinsically linked in an arbitrary 3-manifold M if and only if it is intrinsically linked in S^3. Also, assuming the Poincare Conjecture, we prove that a…