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arxiv: 1107.1210 · v3 · pith:E5NV36IKnew · submitted 2011-07-06 · 🧮 math.GT

The Kauffman polynomial and trivalent graphs

classification 🧮 math.GT
keywords graphspolynomialtrivalentkauffmanmodelcertainconstructembedded
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We construct a state model for the two-variable Kauffman polynomial using planar trivalent graphs. We also use this model to obtain a polynomial invariant for a certain type of trivalent graphs embedded in three-dimensional space.

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