Gábor Hegedüs

activity

20102022

most citedBetti numbers of Stanley--Reisner rings with pure resolutions

3 citations · 4 across the 6 of their papers we have counts for

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6 papers · 1 filter

math.CO2022

Gröbner Bases for Increasing Sequences

Gábor Hegedüs, Lajos Rónyai

Let $q, n \geq 1$ be integers, $[q] = {1, \dots, q}$ , and $F$ be a field with $∣ F ∣ \geq q$ . The set of increasing sequences $$ I(n,q)=\{(f_1,f_2, \dots, f_n) \in [q]^…

math.CO2017

The Erdős-Ginzburg-Ziv constant and progression-free subsets

Gábor Hegedűs

Ellenberg and Gijswijt gave recently a new exponential upper bound for the size of three-term arithmetic progression free sets in $(Z_{p})^{n}$ , where $p$ is a prime. Petrov…

math.CO2016

Inequalities for two systems of subspaces with prescribed intersections

Gábor Hegedüs

Let $W$ denote a linear space over a fixed field $F$ . We define the notions of weak $I S P$ -system and weak $(u, v)$ -system $S = {(U_{i}, V_{i}) : 1 \leq i \leq m}$ of subspac…

math.CO2015

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…

math.CO2010★ 3 cited

Betti numbers of Stanley--Reisner rings with pure resolutions

Gabor Hegedüs

Let $Δ$ be simplicial complex and let $k [Δ]$ denote the Stanley--Reisner ring corresponding to $Δ$ . Suppose that $k [Δ]$ has a pure free resolution. Then we describe the Betti numbe…

math.CO2010★ 1 cited

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.