Kristina Ago

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math.CO2026

Closing the gap and settling the problem of queens on an $n \times n$ board, each attacking at most one other

Kristina Ago, Bojan Bašić, Radojka Ciganović

Let $q (n)$ denote the largest number of queens that can be placed on an $n \times n$ chessboard so that no queen attacks more than one other queen. We prove that $q(n)=\lfloor4n/3\r…

math.CO2026

Intersecting families with bounded intersections

Kristina Ago, Gyula O. H. Katona

Let $F \subset 2^{[n]}$ be an $s$ -uniform family such that every two distinct sets have a nonempty intersection but intersect in at most $k$ elements. By the well-known Ray…

Closing the gap and settling the problem of queens on an n×n board, each attacking at most one other

Intersecting families with bounded intersections

Closing the gap and settling the problem of queens on an $n \times n$ board, each attacking at most one other