8 citations · 10 across the 3 of their papers we have counts for
3 papers
math.MG2014★ 2 cited
Combinatorially two-orbit convex polytopes
Nicholas Matteo
Any convex polytope whose combinatorial automorphism group has two orbits on the flags is isomorphic to one whose group of Euclidean symmetries has two orbits on the flags (equival…
math.MG2014★ 8 cited
Two-orbit convex polytopes and tilings
Nicholas Matteo
We classify the convex polytopes whose symmetry groups have two orbits on the flags. These exist only in two or three dimensions, and the only ones whose combinatorial automorphism…
math.CO2010
What majority decisions are possible with possible abstaining
Paul Larson, Nick Matteo, Saharon Shelah
Suppose we are given a family of choice functions on pairs from a given finite set. The set is considered as a set of alternatives (say candidates for an office) and the functions…