Tamás Héger

activity

20122024

most citedSearch Problems in Vector Spaces

13 citations · 19 across the 4 of their papers we have counts for

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5 papers · 1 filter

math.CO2024

Avoiding secants of given size in finite projective planes

Tamás Héger, Zoltán Lóránt Nagy

Let $q$ be a prime power and $k$ be a natural number. What are the possible cardinalities of point sets $S$ in a projective plane of order $q$ , which do not intersect any line at…

math.CO2018★ 6 cited

Double blocking sets of size $3 q - 1$ in $PG (2, q)$

Bence Csajbók, Tamás Héger

The main purpose of this paper is to find double blocking sets in $PG (2, q)$ of size less than $3 q$ , in particular when $q$ is prime. To this end, we study double blocking…

math.CO2013

Semiarcs with a long secant in $PG (2, q)$

Bence Csajbók, Tamás Héger, György Kiss

A $t$ -semiarc is a pointset $S_{t}$ with the property that the number of tangent lines to $S_{t}$ at each of its points is $t$ . We show that if a small $t$ -semiarc ${\cal…

math.CO2013★ 13 cited

Search Problems in Vector Spaces

Tamás Héger, Balázs Patkós, Marcella Takáts

We consider the following $q$ -analog of the basic combinatorial search problem: let $q$ be a prime power and $\GF(q)$ the finite field of $q$ elements. Let $V$ denote an $n$ -dimens…

math.CO2012

Resolving sets and semi-resolving sets in finite projective planes

Tamás Héger, Marcella Takáts

We show that the metric dimension of a finite projective plane of order $q \geq 23$ is $4 q - 4$ , and describe all resolving sets of that size. Let $τ_{2}$ denote the size of the smalles…