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math.CO2018
Kasteleyn cokernels and perfect matchings on planar bipartite graphs
Libby Taylor
The determinant method of Kasteleyn gives a method of computing the number of perfect matchings of a planar bipartite graph. In addition, results of Bernardi exhibit a bijection be…
math.CO2018
Using Block Designs in Crossing Number Bounds
John Asplund, Eva Czabarka, Gregory Clark +6
The crossing number ${\mbox {cr}}(G)$ of a graph is the smallest number of edge crossings over all drawings of in the plane. For any , the -planar crossing…