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math.CO2023
Ramsey and Turán numbers of sparse hypergraphs
Jacob Fox, Maya Sankar, Michael Simkin +2
Degeneracy plays an important role in understanding Turán- and Ramsey-type properties of graphs. Unfortunately, the usual hypergraphical generalization of degeneracy fails to captu…
math.CO2023★ 1 cited
Triangle Ramsey numbers of complete graphs
Jacob Fox, Jonathan Tidor, Shengtong Zhang
A graph is -Ramsey if every two-coloring of its edges contains a monochromatic copy of . Define the -Ramsey number of , denoted by , to be the minimum number of…
math.CO2023
Uniform sets with few progressions via colorings
Mingyang Deng, Jonathan Tidor, Yufei Zhao
Ruzsa asked whether there exist Fourier-uniform subsets of with density and 4-term arithmetic progression (4-AP) density at most , for arbitrarily l…