Monthly Archives: January 2020

Extending Ryser’s conjecture

In an earlier post, I talked about Ryser’s conjecture on -partite -uniform hypergraphs, that has stayed open for all despite a considerable effort by several mathematicians over a period of 50 years. A bit more effort has been spent on … Continue reading

Posted in Combinatorics, Extremal Combinatorics | Tagged , , , , , , , | 1 Comment

Bounds on Ramsey numbers from finite geometry

In an earlier post I talked about the work of Mubayi and Verstraete on determining the off-diagonal Ramsey numbers via certain optimal pseudorandom graphs, which are not yet known to exist except for the case of triangles. Beyond this conditional … Continue reading

Posted in Combinatorics, Extremal Combinatorics, Finite Geometry, Incidence Geometry, Ramsey Theory | Tagged , , , , , , , , | 3 Comments