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math.CO2025
A generalised Ramsey--Turán problem for matchings
Peter Keevash, Peleg Michaeli
We prove a generalised Ramsey--Turán theorem for matchings, which (a) simultaneously generalises the Cockayne--Lorimer Theorem (Ramsey for matchings) and the Erdős--Gallai Theorem…
math.CO2025
Defect and transference versions of the Alon-Frankl-Lovasz theorem
Lior Gishboliner, Stefan Glock, Peleg Michaeli +1
Confirming a conjecture of Erdős on the chromatic number of Kneser hypergraphs, Alon, Frankl and Lovász proved that in any -colouring of the edges of the complete -uniform hy…