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math.CO2008
A note on lattice-face polytopes and their Ehrhart polynomials
Fu Liu
We give a new definition of lattice-face polytopes by removing an unnecessary restriction in the paper "Ehrhart polynomials of lattice-face polytopes", and show that with the new d…
math.CO2008
Combinatorial bases for multilinear parts of free algebras with double compatible brackets
Fu Liu
Let X be an ordered alphabet. Lie_2(n) (and P_2(n) respectively) are the multilinear parts of the free Lie algebra (and the free Poisson algebra respectively) on X with a pair of c…
math.CO2004
Ehrhart polynomials of cyclic polytopes
Fu Liu
The Ehrhart polynomial of an integral convex polytope counts the number of lattice points in dilates of the polytope. In math.CO/0402148, the authors conjectured that for any cycli…