Discrete Morse theoretic algorithms for computing homology of complexes and maps

We provide explicit and efficient reduction algorithms based on discrete Morse theory to simplify homology computation for a very general class of complexes. A set-valued map of top-dimensional cells between such complexes is a natural discrete approximation of an underlying (and possibly unknown) c...

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Bibliographic Details
Main Authors: Harker, S, Mischaikow, K, Mrozek, M, Nanda, V
Format: Journal article
Published: Springer Verlag 2013