Luka Milićević

activity

20132026

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5 papers · 1 filter

math.CO2026

A note on the shortest law for the symmetric group

Adrian Beker, Luka Milićević, Rudi Mrazović

Let $α (n)$ denote the length of the shortest non-trivial two-variable law for the symmetric group $S_{n}$ . Buskin's quantitative subgroup-separability argument gives the classical lo…

math.CO2022

Quantitative inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$

Luka Milićević

We prove quantitative bounds for the inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$ . The proof starts from an earlier partial res…

math.CO2017

Small Sets with Large Difference Sets

Luka Milicevic

For every $ε > 0$ and $k \in N$ , Haight constructed a set $A \subset Z_{N}$ ( $Z_{N}$ stands for the integers modulo $N$ ) for a suitable $N$ , such that $A-A =…

math.CO2017

Decomposing the Complete $r$ -Graph

Imre Leader, Luka Milićević, Ta Sheng Tan

Let $f_{r} (n)$ be the minimum number of complete $r$ -partite $r$ -graphs needed to partition the edge set of the complete $r$ -uniform hypergraph on $n$ vertices. Graham and Pollak sho…

math.CO2016

Sets in Almost General Position

Luka Milićević

Erdős asked the following question: given $n$ points in the plane in almost general position (no 4 collinear), how large a set can we guarantee to find that is in general position…

A note on the shortest law for the symmetric group

Quantitative inverse theorem for Gowers uniformity norms U5 and U6 in F2n​

Small Sets with Large Difference Sets

Decomposing the Complete r-Graph

Sets in Almost General Position

Quantitative inverse theorem for Gowers uniformity norms $U^{5}$ and $U^{6}$ in $F_{2}^{n}$

Decomposing the Complete $r$ -Graph