3 papers
math.CO2026
Approval Ballot Triangles and Strict-Sense Ballots
Andrew Beveridge, Ian Calaway
We consider a family of binary triangular arrays, called approval ballot triangles (ABTs), that are in bijection with totally symmetric self-complementary plane partitions (TSSCPPs…
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…