89 citations · 207 across the 18 of their papers we have counts for
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math.CO2018★ 13 cited
Hodge-Riemann relations for Potts model partition functions
Petter Brändén, June Huh
We prove that the Hessians of nonzero partial derivatives of the (homogenous) multivariate Tutte polynomial of any matroid have exactly one positive eigenvalue on the positive orth…
math.CO2018★ 20 cited
Correlation bounds for fields and matroids
June Huh, Benjamin Schröter, Botong Wang
Let be a finite connected graph, and let be a spanning tree of chosen uniformly at random. The work of Kirchhoff on electrical networks can be used to show that the eve…