Carrick mat and further development of bipartite knots

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arxiv 2103.17254 v1 pith:A762ABPR submitted 2021-02-22 math.GT

Alina Pavlikova This is my paper · ORCID

classification math.GT

keywords bipartiteknotscarrickcombinatorialdevelopmentexplorefurtherproperties

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We explore more the properties of bipartite knots and its rich combinatorial structure.

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Bipartite expansion beyond biparticity
hep-th 2025-01 conditional novelty 6.0 of 10

The authors construct positive decompositions of fundamental HOMFLY polynomials in variables φ, φ̄, D for arbitrary knots, not just bipartite ones, and give a criterion to detect when such a decomposition conceals a b...