A. Pór

activity

20042018

most citedUniversality of vector sequences and universality of Tverberg partitions

8 citations · 15 across the 6 of their papers we have counts for

collaborators

14 papers

math.CO2018★ 8 cited

Universality of vector sequences and universality of Tverberg partitions

Attila Por

A result of Rosenthal says that for every $q > 1$ and $n \in N$ there is $N \in N$ such that every sequence of $N$ distinct positive numbers contains, after a suita…

math.MG2016

An improvement on the Rado bound for the centerline depth

Alexander Magazinov, Attila Pór

Let $μ$ be a Borel probability measure in $R^{d}$ . For a $k$ -flat $α$ consider the value $in f μ (H)$ , where $H$ runs through all half-spaces containing $α$ . This infimum is c…

math.MG2014★ 6 cited

A fractional Helly theorem for boxes

I. Bárány, F. Fodor, A. Martínez-Pérez +3

Let $F$ be a family of $n$ axis-parallel boxes in $R^{d}$ and $α \in (1 - 1/ d, 1]$ a real number. There exists a real number $β (α) > 0$ such that if there are $α{n\choos…

math.CO2014★ 1 cited

Forcing Posets with Large Dimension to Contain Large Standard Examples

Csaba Biró, Peter Hamburger, Attila Pór +1

The dimension of a poset $P$ , denoted $dim (P)$ , is the least positive integer $d$ for which $P$ is the intersection of $d$ linear extensions of $P$ . The maximum dimension of a pos…

math.CO2014

The proof of the removable pair conjecture for fractional dimension

Csaba Biró, Peter Hamburger, Attila Pór

In 1971 Trotter conjectured that every finite poset on at least $3$ points has a pair whose removal does not decrease the dimension by more than $1$ . In 1992 Brightwell and Scheine…

math.CO2013

Standard Examples as Subposets of Posets

Csaba Biro, Peter Hamburger, Attila Por

We prove that a poset with no induced subposet $S_{k}$ (for fixed $k \geq 3$ ) must have dimension that is sublinear in terms of the number of elements.