Invariants of graphs in three-space

Kauffman, Louis H.

doi:10.1090/S0002-9947-1989-0946218-0

Invariants of graphs in three-space
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Trans. Amer. Math. Soc. 311 (1989), 697-710 Request permission

Abstract:

By associating a collection of knots and links to a graph in three-dimensional space, we obtain computable invariants of the embedding type of the graph. Two types of isotopy are considered: topological and rigid-vertex isotopy. Rigid-vertex graphs are a category mixing topological flexibility with mechanical rigidity. Both categories constitute steps toward models for chemical and biological networks. We discuss chirality in both rigid and topological contexts.

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dimensional cell complexes in

determined by their

skeletons

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