Igor Araujo

collaborators

2 papers

math.CO2021

On the number of sum-free triplets of sets

Igor Araujo, József Balogh, Ramon I. Garcia

We count the ordered sum-free triplets of subsets in the group $Z / p Z$ , i.e., the triplets $(A, B, C)$ of sets $A, B, C \subset Z / p Z$ for which the e…

math.CO2020

Maximum determinant and permanent of sparse 0-1 matrices

Igor Araujo, József Balogh, Yuzhou Wang

We prove that the maximum determinant of an $n \times n$ matrix, with entries in ${0, 1}$ and at most $n + k$ non-zero entries, is at most $2^{k /3}$ , which is best possible when $k…