5 citations · 11 across the 6 of their papers we have counts for
7 papers
Covering Distributive Lattices by Intervals
Dwight Duffus, Bill Sands
We consider the convex subset of all elements between two levels and of a finite distributive lattice, as a union of (or covered by) intervals . A 1988 resul…
The Width of Downsets
Dwight Duffus, David Howard, Imre Leader
How large an antichain can we find inside a given downset in the lattice of subsets of [n]? Sperner's theorem asserts that the largest antichain in the whole lattice has size the b…
The Minimum Number of Edges in Uniform Hypergraphs with Property O
Dwight Duffus, Bill Kay, Vojtech Rodl
An oriented k-uniform hypergraph (a family of ordered k-sets) has the ordering property (or Property O) if for every linear order of the vertex set, there is some edge oriented con…
Symmetric Chain Decompositions of Quotients of Chain Products by Wreath Products
Dwight Duffus, Kyle Thayer
Subgroups of the symmetric group act on powers of chains by permuting coordinates, and induce automorphisms of the ordered sets . The quotients defined are candida…
Some Quotients of the Boolean Lattice are Symmetric Chain Orders
Dwight Duffus, Jeremy McKibben-Sanders, Kyle Thayer
R. Canfield has conjectured that for all subgroups G of the automorphism group of the Boolean lattice B(n) (which can be regarded as the symmetric group S(n)) the quotient order B(…
Convex Sublattices of a Lattice and a Fixed Point Property
Dwight Duffus, Claude Laflamme, Maurice Pouzet +1
The collection CL(T) of nonempty convex sublattices of a lattice T ordered by bi-domination is a lattice. We say that T has the fixed point property for convex sublattices (CLFPP f…