t-uniform hypergraphicality is FPT parameterized by (k,t) using type-based spectrum, balancing hinge-flips to realize any feasible spectrum, and Lenstra IP on binom(t+k-1,k-1) variables.
arXiv (2024) arXiv:2411.19049 [math.CO] 10
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Fixed-Parameter Tractability of $t$-Uniform Hypergraphicality
t-uniform hypergraphicality is FPT parameterized by (k,t) using type-based spectrum, balancing hinge-flips to realize any feasible spectrum, and Lenstra IP on binom(t+k-1,k-1) variables.