11 citations · 36 across the 19 of their papers we have counts for
4 papers · 1 filter
Atomic bases in cluster algebras of types A and
Grégoire Dupont, Hugh Thomas
We give explicit atomic bases of arbitrary coefficient-free cluster algebras of types and .
Embedding a pair of graphs in a surface, and the width of 4-dimensional prismatoids
Francisco Santos
A prismatoid is a polytope with all its vertices contained in two parallel facets, called its bases. Its width is the number of steps needed to go from one base to the other in the…
An Euler characteristic proof that 4-prismatoids have width at most 4
Tamon Stephen, Hugh Thomas
We show that there is no 4-dimensional analogue of the 5-prismatoids used in Santos' recent counterexample to the Hirsch conjecture.
A uniform bijection between nonnesting and noncrossing partitions
Drew Armstrong, Christian Stump, Hugh Thomas
In 2007, D.I. Panyushev defined a remarkable map on the set of nonnesting partitions (antichains in the root poset of a finite Weyl group). In this paper we identify Panyushev's ma…