13 citations · 24 across the 13 of their papers we have counts for
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math.GT2018★ 3 cited
Double branched covers of knotoids
Agnese Barbensi, Dorothy Buck, Heather A. Harrington +1
By using double branched covers, we prove that there is a 1-1 correspondence between the set of knotoids in the 2-sphere, up to orientation reversion and rotation, and knots with a…
math.GT2018★ 2 cited
The Reidemeister graph is a complete knot invariant
Agnese Barbensi, Daniele Celoria
We describe two locally finite graphs naturally associated to each knot type K, called Reidemeister graphs. We determine several local and global properties of these graphs and pro…