Title
Building Efficient and Compact Data Structures for Simplicial Complexes.
Abstract
The Simplex Tree (ST) is a recently introduced data structure that can represent abstract simplicial complexes of any dimension and allows efficient implementation of a large range of basic operations on simplicial complexes. In this paper, we show how to optimally compress the ST while retaining its functionalities. In addition, we propose two new data structures called the Maximal Simplex Tree and the Simplex Array List. We analyze the compressed ST, the Maximal Simplex Tree, and the Simplex Array List under various settings.
Year
DOI
Venue
2015
10.1007/s00453-016-0207-y
Algorithmica
Keywords
Field
DocType
Simplicial complex,Compact data structures,Automaton,NP-hard
Data structure,Discrete mathematics,Combinatorics,Simplicial approximation theorem,Computer science,Automaton,Simplicial homology,Simplex,Simplicial complex,Abstract simplicial complex
Journal
Volume
Issue
ISSN
79
2
0178-4617
Citations 
PageRank 
References 
1
0.37
19
Authors
3
Name
Order
Citations
PageRank
Jean-Daniel Boissonnat110.37
Karthik C. S.2157.29
Sébastien Tavenas3145.19