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math.GT2015
Ravels arising from Montesinos Tangles
Erica Flapan, Allison N. Miller
A ravel is a spatial graph which is non-planar but contains no non-trivial knots or links. We characterize when a Montesinos tangle can become a ravel as the result of vertex closu…
math.GT2015
Linking number and writhe in random linear embeddings of graphs
Erica Flapan, Kenji Kozai
In order to model entanglements of polymers in a confined region, we consider the linking numbers and writhes of cycles in random linear embeddings of complete graphs in a cube. Ou…