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math.CO2024
Dimer face polynomials in knot theory and cluster algebras
Karola Mészáros, Gregg Musiker, Melissa Sherman-Bennett +1
The set of perfect matchings of a connected bipartite plane graph has the structure of a distributive lattice, as shown by Propp, where the partial order is induced by the heig…
math.GT2024
On the Alexander polynomial of special alternating links
Elena S. Hafner, Karola Mészáros, Alexander Vidinas
The Alexander polynomial (1928) is the first polynomial invariant of links devised to help distinguish links up to isotopy. Fox's conjecture (1962) -- stating that the absolute val…