Unravelling Tangled Graphs
Spatial graphs, almost unknotted graphs, tangles, ravels, θn
Motivated by proposed entangled molecular structures known as ravels, we introduce a method for constructing such entanglements from 2-string tangles. We then show that for most (but not all) arborescent tangles this construction yields either a planar θ4 graph or contains a knot.
© 2012 World Scientific Publishing Co.
C. Farkas, E. Flapan, W. Sullivan, Unraveling Tangled Graphs, Journal of Knot Theory and its Ramifications, Vol 21, No. 7, (2012). doi: 10.1142/S0218216512500745