2 papers
math.CO2026
Closing the gap and settling the problem of queens on an board, each attacking at most one other
Kristina Ago, Bojan Bašić, Radojka Ciganović
Let denote the largest number of queens that can be placed on an 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 be an -uniform family such that every two distinct sets have a nonempty intersection but intersect in at most elements. By the well-known Ray…