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Paper detail

The Simplex Tree: an Efficient Data Structure for General Simplicial Complexes

This paper introduces a data structure, called simplex tree, to represent abstract simplicial complexes of any dimension. All faces of the simplicial complex are explicitly stored in a trie whose nodes are in bijection with the faces of the complex. This data structure allows to efficiently implement a large range of basic operations on simplicial complexes. We provide theoretical complexity analysis as well as detailed experimental results. We more specifically study Rips and witness complexes.

preprint2020arXivOpen access
Jean-Daniel BoissonnatClément Maria
Computational Geometry
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Jean-Daniel BoissonnatClément Maria

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