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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Invariants of graphs in three-space

Author: Louis H. Kauffman
Journal: Trans. Amer. Math. Soc. 311 (1989), 697-710
MSC: Primary 57M25; Secondary 05C10
MathSciNet review: 946218
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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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Article copyright: © Copyright 1989 American Mathematical Society