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math.CO2025
Functional inequalities and random walks on increasing subsets of the hypercube
Fan Chang, Guowei Sun, Lei Yu
Motivated by random walks on subsets of the hypercube, we prove two discrete functional inequalities on the hypercube by the technique of induction-by-restrictions. First, we give…
math.CO2025
Local rainbow colorings of hypergraphs
Zhenyu Li, Weichan Liu, Guowei Sun +2
In this paper, we generalize the concepts related to rainbow coloring to hypergraphs. Specifically, an -local coloring is defined as a collection of edge-colorings, $f…