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- W3115598045 abstract "An h-tiling on a finite simplicial complex is a partition of its geometric realization by maximal simplices deprived of several codimension one faces together with possibly their remaining face of highest codimension. In this last case, the tiles are said to be critical. We prove the existence of h-tilings on every finite simplicial complex after finitely many stellar subdivisions at maximal simplices. These tilings are moreover shellable. We also prove that the number of tiles of each type used by a tiling, encoded by its h-vector, is determined by the number of critical tiles of each index it uses, encoded by its critical vector. In the case of closed triangulated manifolds, these vectors satisfy some palindromic property." @default.
- W3115598045 created "2021-01-05" @default.
- W3115598045 creator A5081494048 @default.
- W3115598045 date "2020-12-20" @default.
- W3115598045 modified "2023-09-27" @default.
- W3115598045 title "Shellable tilings on partial simplicial complexes and their h-vectors" @default.
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