M. Bucić

activity

20182026

most citedTournament quasirandomness from local counting

5 citations · 8 across the 9 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math.CO2018

On Kahn's basis conjecture

Matija Bucić, Matthew Kwan, Alexey Pokrovskiy +1

In 1991, Kahn made the following conjecture. For any $n$ -dimensional vector space $V$ and any $n \times n$ array of $n^{2}$ bases of $V$ , it is possible to choose a representative vec…

math.CO2018

Halfway to Rota's basis conjecture

Matija Bucić, Matthew Kwan, Alexey Pokrovskiy +1

In 1989, Rota made the following conjecture. Given $n$ bases $B_{1}, \dots, B_{n}$ in an $n$ -dimensional vector space $V$ , one can always find $n$ disjoint bases of $V$ , each contain…

math.CO2018

Three colour bipartite Ramsey number of cycles and paths

Matija Bucić, Shoham Letzter, Benny Sudakov

The $k$ -colour bipartite Ramsey number of a bipartite graph $H$ is the least integer $n$ for which every $k$ -edge-coloured complete bipartite graph $K_{n, n}$ contains a monochromat…