4 citations · 8 across the 15 of their papers we have counts for
6 papers · 1 filter
The Minkowskian planar 4R mechanism
Gabor Hegedüs, Brian Moore
We characterize and classify completely the planar 4R closed chain working on the Minkowskian plane. Our work would open a new research direction in the theory of geometric designs…
Betti numbers of Stanley--Reisner rings with pure resolutions
Gabor Hegedüs
Let be simplicial complex and let denote the Stanley--Reisner ring corresponding to . Suppose that has a pure free resolution. Then we describe the Betti numbe…
The surface of a lattice polytope
Gábor Hegedüs
My main results are simple formulas for the surface area of d-dimensional lattice polytopes using Ehrhart theory.
The number of permutations with k inversions
Gábor Hegedüs
Let , be arbitrary integers. Define the numbers as the number of permutations of with inversions. Let and $0\leq…
Linear equations for the number of intervals which are isomorphic with Boolean lattices and the Dehn--Sommerville equations
Gábor Hegedüs
Let be a finite poset. Let denote the lattice of order ideals of . Let denote the number of Boolean intervals of of rank . We construct a simple gr…
The boundary volume of a lattice polytope
Gábor Hegedüs, Alexander M. Kasprzyk
For a d-dimensional convex lattice polytope P, a formula for the boundary volume is derived in terms of the number of boundary lattice points on the first $\floor{d/2}$ dilations o…