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math.CO2019
de Finetti Lattices and Magog Triangles
Andrew Beveridge, Ian Calaway, Kristin Heysse
The order ideal of the Boolean lattice consists of all subsets of size at most . Let denote the poset refinement of induced by the rules: $i…
math.CO2018
The Voter Basis and the Admissibility of Tree Characters
Andrew Beveridge, Ian Calaway
When making simultaneous decisions, our preference for the outcomes on one subset can depend on the outcomes on a disjoint subset. In referendum elections, this gives rise to the s…
math.CO2015
A Hitting Time Formula for the Discrete Green's Function
Andrew Beveridge
The discrete Green's function (without boundary) is a pseudo-inverse of the combinatorial Laplace operator of a graph . We reveal the intimate connection betw…