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math.CO2002★ 9 cited
Maps between higher Bruhat orders and higher Stasheff-Tamari posets
Hugh Thomas
We make explict a description in terms of convex geometry of the higher Bruhat orders B(n,d) sketched by Kapranov and Voevodsky. We give an analogous description of the higher Stas…
math.CO2002
Poset Edge-Labellings and Left Modularity
Peter McNamara, Hugh Thomas
It is known that a graded lattice of rank n is supersolvable if and only if it has an EL-labelling where the labels along any maximal chain are exactly the numbers 1,2,...,n withou…
math.AC2002
Bounding the degrees of generators of a homogeneous dimension 2 toric ideal
Hugh Thomas
Let I be the toric ideal defined by a 2 x n matrix of integers, A = ((1 1 ... 1)(a_1 a_2 ... a_n)) with a_1<a_2<...<a_n. We give a combinatorial proof that I is generated by elemen…