Title

Unravelling Tangled Graphs

Student Co-author

Pomona Undergraduate

Document Type

Article

Department

Mathematics (Pomona)

Publication Date

2012

Keywords

Spatial graphs, almost unknotted graphs, tangles, ravels, θn

Abstract

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.

Rights Information

© 2012 World Scientific Publishing Co.

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