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math.CO2026
2-colouring shift-chains
Zak Smith
A shift-chain is an -uniform hypergraph on vertex set with the property that, for any two edges and $ \{ f_1, \ldots, f_r \}…
math.CO2026
Fractional clique decompositions in random hypergraphs
Felix Joos, Zak Smith
We prove that, whenever , with high probability admits a fractional triangle decomposition, that is, a non-negative weight function on its tria…