New values for the bipartite Ramsey number of the four-cycle versus stars

We provide new values of the bipartite Ramsey number R B ( C 4 , K 1 n ) using induced subgraphs incidence graph a projective plane. The approach, based on deleting subplanes planes, has been used in related extremal problems and allows us to unify previous results extend them. More importantly, deep stability 2 mod p sets double blocking sets, we can show some limits this technique when plane is Desarguesian large enough square order. Finally, also disprove two conjectures about .