4 papers
math.CO2026
Bounds for smooth Fano polytopes
Gábor Hegedüs
We characterize smooth Fano polytopes in terms of their delta-vector and f-vector. As an application we prove that the delta-vector of a smooth Fano polytope is unimodal and we giv…
math.CO2026
A uniform version of a theorem by Lindström
Gábor Hegedüs
We prove the following uniform version of a theorem by Lindström: Let $\mbox{$\cal F$}:=\{F_i:~ i\in I\}$ be a -uniform set family of , where . If $|\mbox{$\cal F$…
math.CO2024
Upper bounds for the size of ordered -intersecting set systems
Gábor Hegedüs
A family $\mbox{$\cal F$}=\{F_1,\ldots,F_m\}$ of subsets of is said to be ordered, if there exists an index such that for each , $n\…
math.CO2024
About Füredi's conjecture
Gábor Hegedüs
Let be a non-negative integer and $\mbox{$\cal P$}=\{(A_i,B_i)\}_{1\leq i\leq m}$ be a set-pair family satisfying for . $\mbox{$\cal P$}$…