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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 hypergraphs, Patrick Morris, postdoc, research, Ryser, Shagnik Das, Tibor Szabo, vertex cover
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 offdiagonal 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