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- W3100308874 abstract "Given a finite set of points in $mathbb R^n$ and a radius parameter, we study the v{C}ech, Delaunay-v{C}ech, Delaunay (or Alpha), and Wrap complexes in the light of generalized discrete Morse theory. Establishing the v{C}ech and Delaunay complexes as sublevel sets of generalized discrete Morse functions, we prove that the four complexes are simple-homotopy equivalent by a sequence of simplicial collapses, which are explicitly described by a single discrete gradient field." @default.
- W3100308874 created "2020-11-23" @default.
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- W3100308874 date "2016-12-27" @default.
- W3100308874 modified "2023-10-15" @default.
- W3100308874 title "The Morse theory of Čech and Delaunay complexes" @default.
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- W3100308874 doi "https://doi.org/10.1090/tran/6991" @default.
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