Abstract We present an algorithm for the computation of Vietoris–Rips persistence barcodes and describe its implementation in the software Ripser. The method relies on implicit representations of the coboundary operator and the filtration order of the simplices, avoiding the explicit construction and storage of the filtration coboundary matrix. Moreover, it makes use of apparent pairs,…
Journal of Applied and Computational Topology Template
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About the Journal of Applied and Computational Topology format
Journal of Applied and Computational Topology is a peer-reviewed journal published by Springer Nature, covering Topological and Geometric Data Analysis, Homotopy and Cohomology in Algebraic Topology, Advanced Neuroimaging Techniques and Applications.
| Publisher | Springer Nature |
|---|---|
| Reference style | Superscript numbered (Nature) Superscript — small raised numerals in the text 1. Smith, A., Jones, B. & Lee, C. A representative article title. Journal of Applied and Computational Topology 12, 45–58 (2023).
Formats any DOI in Journal of Applied and Computational Topology style. No sign-up. |
| Publishes research in | Topological and Geometric Data Analysis Homotopy and Cohomology in Algebraic Topology Advanced Neuroimaging Techniques and Applications Advanced Combinatorial Mathematics Geometric and Algebraic Topology |
| ISSN | 2367-1726 |
| Citation impact (2-yr) | 1.16 |
| h-index | 17 |
| i10-index | 41 |
| Total citations | 1,617 |
| Article processing charge | $3,090 |
| Top institutions publishing here | The Ohio State University |
| Journal website | link.springer.com |
| You get | A submission-ready PDF and the editable LaTeX source — ready to submit. |
Papers published in Journal of Applied and Computational Topology per year
Citation impact of Journal of Applied and Computational Topology by publication year
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Most-cited papers in Journal of Applied and Computational Topology
This paper outlines a program in what one might call spectral sheaf theory—an extension of spectral graph theory to cellular sheaves. By lifting the combinatorial graph Laplacian to the Hodge Laplacian on a cellular sheaf of vector spaces over a regular cell complex, one can relate spectral data to the sheaf cohomology and cell structure…