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math.GT2015★ 5 cited
New examples of Brunnian theta graphs
Byoungwook Jang, Anna Kronaeur, Pratap Luitel +3
The Kinoshita graph is the most famous example of a Brunnian theta graph, a nontrivial spatial theta graph with the property that removing any edge yields an unknot. We produce a n…
math.GT2015
Neighbors of knots in the Gordian graph
Ryan Blair, Marion Campisi, Jesse Johnson +2
We show that every knot is one crossing change away from a knot of arbitrarily high bridge number and arbitrarily high bridge distance.