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math.CO2026
No--in-line problem for
Anubhab Ghosal, Ritesh Goenka, Alexandr Grebennikov +3
What is the maximum number of points one can place in an grid such that every Euclidean line contains at most points? For , this is the notorious no-three-i…
math.CO2026
On the largest sum-free subset of the lattice cube
Peter Keevash, Jeck Lim
We determine the limiting density of the largest sum-free subset of the lattice cube for all , thus resolving the natural conjecture that it is constructed…
math.CO2026
A very robust Ramsey theorem for matchings
Peter Keevash, Peleg Michaeli
Our main result is a robust generalisation of the Cockayne-Lorimer theorem on the multicolour Ramsey number of matchings. It is moreover a generalisation of the transference genera…