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math.CO2025
Size-Ramsey numbers of tight paths
Shoham Letzter, Alexey Pokrovskiy, Liana Yepremyan
The -colour size-Ramsey number of a hypergraph is the minimum number of edges in a hypergraph whose every -edge-colouring contains a monochromatic copy of . We sho…
math.CO2025
Towards Graham's rearrangement conjecture via rainbow paths
Matija Bucić, Bryce Frederickson, Alp Müyesser +2
We study an old question in combinatorial group theory which can be traced back to a conjecture of Graham from 1971. Given a group , and some subset , is it possib…