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math.CO2025
New Sidorenko-type inequalities in tournaments
Xiaoyu He, Nitya Mani, Jiaxi Nie +2
As a directed analog of Sidorenko's conjecture in extremal graph theory, Fox, Himwich, Zhou, and the second author defined an oriented graph to be tournament Sidorenko (anti-Si…
math.CO2025
Cutting a unit square and permuting blocks
Nathan Tung
Consider a random permutation of objects that permutes disjoint blocks of size and then permutes elements within each block. Normalizing its cycle lengths by give…