The characterization of (𝐧-1)-spheres with 𝐧+4 vertices having maximal Buchstaber number

01/02/2023

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by   Suyoung Choi, et al.

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We provide a GPU-friendly algorithm for obtaining all weak pseudo-manifolds whose facets are all in an input set of facets satisfying given conditions. We use it here to completely list up toric colorable seed PL-spheres with a few vertices implying the complete characterization of PL-spheres of dimension n-1 with n+4 vertices having maximal Buchstaber numbers.