76 citations · 143 across the 12 of their papers we have counts for
4 papers · 1 filter
A generalization of the Erdős-Ko-Rado Theorem
Gábor Hegedüs
Our main result is a new upper bound for the size of k-uniform, L-intersecting families of sets, where L contains only positive integers. We characterize extremal families in this…
From the Fundamental Theorem of Algebra to Kempe's Universality Theorem
Gábor Hegedüs, Zijia Li, Josef Schicho +1
This article provides a gentle introduction for a general mathematical audience to the factorization theory of motion polynomials and its application in mechanism science. This the…
Ehrhart polynomial roots of reflexive polytopes
Gábor Hegedüs, Akihiro Higashitani, Alexander Kasprzyk
Recent work has focused on the roots z of the Ehrhart polynomial of a lattice polytope P. The case when Re(z) = -1/2 is of particular interest: these polytopes satisfy Golyshev's "…
An explicit Ramsey graph
Gábor Hegedüs
Explicit construction of Ramsey graphs has remained a challenging open problem for a long time. Frankl--Wilson \cite{FW}, Alon \cite{A} and Grolmusz \cite{G2} gave the best explici…