Blumberg, Andrew J.; Lesnick, Michael Universality of the homotopy interleaving distance. (English) Zbl 07772560 Trans. Am. Math. Soc. 376, No. 12, 8269-8307 (2023). MSC: 55N31 55P99 55U99 PDFBibTeX XMLCite \textit{A. J. Blumberg} and \textit{M. Lesnick}, Trans. Am. Math. Soc. 376, No. 12, 8269--8307 (2023; Zbl 07772560) Full Text: DOI arXiv
Boissonnat, Jean-Daniel; Pritam, Siddharth; Pareek, Divyansh Strong collapse and persistent homology. (English) Zbl 1520.55003 J. Topol. Anal. 15, No. 1, 185-213 (2023). Reviewer: Jason Hanson (Redmond) MSC: 55-04 55-08 55N31 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} et al., J. Topol. Anal. 15, No. 1, 185--213 (2023; Zbl 1520.55003) Full Text: DOI
Fugacci, Ulderico; Kerber, Michael; Rolle, Alexander Compression for \(2\)-parameter persistent homology. (English) Zbl 1520.55007 Comput. Geom. 109, Article ID 101940, 28 p. (2023). Reviewer: Beatrice Bleile (Armidale) MSC: 55N31 68U05 55U15 PDFBibTeX XMLCite \textit{U. Fugacci} et al., Comput. Geom. 109, Article ID 101940, 28 p. (2023; Zbl 1520.55007) Full Text: DOI arXiv
Adams, Henry; Coldren, Sophia; Willmot, Sean The persistent homology of cyclic graphs. (English) Zbl 07633849 Int. J. Comput. Geom. Appl. 32, No. 1-2, 1-37 (2022). MSC: 68U05 PDFBibTeX XMLCite \textit{H. Adams} et al., Int. J. Comput. Geom. Appl. 32, No. 1--2, 1--37 (2022; Zbl 07633849) Full Text: DOI arXiv
Dey, Tamal K.; Xin, Cheng Generalized persistence algorithm for decomposing multiparameter persistence modules. (English) Zbl 1502.55005 J. Appl. Comput. Topol. 6, No. 3, 271-322 (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55N31 55-08 PDFBibTeX XMLCite \textit{T. K. Dey} and \textit{C. Xin}, J. Appl. Comput. Topol. 6, No. 3, 271--322 (2022; Zbl 1502.55005) Full Text: DOI arXiv
Mémoli, Facundo; Okutan, Osman Berat Quantitative simplification of filtered simplicial complexes. (English) Zbl 1460.55024 Discrete Comput. Geom. 65, No. 2, 554-583 (2021). Reviewer: Ran Levi (Aberdeen) MSC: 55U10 55N31 PDFBibTeX XMLCite \textit{F. Mémoli} and \textit{O. B. Okutan}, Discrete Comput. Geom. 65, No. 2, 554--583 (2021; Zbl 1460.55024) Full Text: DOI arXiv
Dey, Tamal K.; Slechta, Ryan Filtration simplification for persistent homology via edge contraction. (English) Zbl 1494.55008 J. Math. Imaging Vis. 62, No. 5, 704-717 (2020). Reviewer: My Ismail Mamouni (Rabat) MSC: 55N31 PDFBibTeX XMLCite \textit{T. K. Dey} and \textit{R. Slechta}, J. Math. Imaging Vis. 62, No. 5, 704--717 (2020; Zbl 1494.55008) Full Text: DOI arXiv
Brun, Morten; Blaser, Nello Sparse Dowker nerves. (English) Zbl 1431.55004 J. Appl. Comput. Topol. 3, No. 1-2, 1-28 (2019). Reviewer: Henry Adams (Fort Collins) MSC: 55N05 55N99 55U10 55U99 PDFBibTeX XMLCite \textit{M. Brun} and \textit{N. Blaser}, J. Appl. Comput. Topol. 3, No. 1--2, 1--28 (2019; Zbl 1431.55004) Full Text: DOI arXiv
Blaser, Nello; Brun, Morten Divisive cover. (English) Zbl 1469.55004 Math. Comput. Sci. 13, No. 1-2, 21-29 (2019). Reviewer: My Ismail Mamouni (Témara) MSC: 55N31 55U99 68Q32 PDFBibTeX XMLCite \textit{N. Blaser} and \textit{M. Brun}, Math. Comput. Sci. 13, No. 1--2, 21--29 (2019; Zbl 1469.55004) Full Text: DOI arXiv
Kerber, Michael; Schreiber, Hannah Barcodes of towers and a streaming algorithm for persistent homology. (English) Zbl 1445.55004 Discrete Comput. Geom. 61, No. 4, 852-879 (2019). Reviewer: Ismet Karaca (Izmir) MSC: 55N31 68W27 68U03 PDFBibTeX XMLCite \textit{M. Kerber} and \textit{H. Schreiber}, Discrete Comput. Geom. 61, No. 4, 852--879 (2019; Zbl 1445.55004) Full Text: DOI
Dey, Tamal K.; Shi, Dayu; Wang, Yusu SimBa: an efficient tool for approximating Rips-filtration persistence via simplicial batch collapse. (English) Zbl 1521.68230 ACM J. Exp. Algorithm. 24, No. 1, Article No. 1.5, 16 p. (2019). MSC: 68U03 55N31 PDFBibTeX XMLCite \textit{T. K. Dey} et al., ACM J. Exp. Algorithm. 24, No. 1, Article No. 1.5, 16 p. (2019; Zbl 1521.68230) Full Text: DOI
Boissonnat, Jean-Daniel; Pritam, Siddharth; Pareek, Divyansh Strong collapse for persistence. (English) Zbl 1524.68390 Azar, Yossi (ed.) et al., 26th annual European symposium on algorithms, ESA 2018, August 20–22, 2018, Helsinki, Finland. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 112, Article 67, 13 p. (2018). MSC: 68U03 55N31 PDFBibTeX XMLCite \textit{J.-D. Boissonnat} et al., LIPIcs -- Leibniz Int. Proc. Inform. 112, Article 67, 13 p. (2018; Zbl 1524.68390) Full Text: DOI arXiv
Kerber, Michael; Schreiber, Hannah Barcodes of towers and a streaming algorithm for persistent homology. (English) Zbl 1436.55009 Aronov, Boris (ed.) et al., 33rd international symposium on computational geometry. SoCG 2017, Brisbane, Australia, July 4–7, 2017. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. LIPIcs – Leibniz Int. Proc. Inform. 77, Article 57, 16 p. (2017). MSC: 55N31 68W27 PDFBibTeX XMLCite \textit{M. Kerber} and \textit{H. Schreiber}, LIPIcs -- Leibniz Int. Proc. Inform. 77, Article 57, 16 p. (2017; Zbl 1436.55009) Full Text: DOI arXiv
Dey, Tamal K.; Shi, Dayu; Wang, Yusu SimBa: an efficient tool for approximating Rips-filtration persistence via simplicial batch-collapse. (English) Zbl 1397.68221 Sankowski, Piotr (ed.) et al., 24th annual European symposium on algorithms, ESA 2016, Aarhus, Denmark, August 22–24, 2016. Proceedings. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik (ISBN 978-3-95977-015-6). LIPIcs – Leibniz International Proceedings in Informatics 57, Article 35, 16 p. (2016). MSC: 68W25 55N35 68U05 PDFBibTeX XMLCite \textit{T. K. Dey} et al., LIPIcs -- Leibniz Int. Proc. Inform. 57, Article 35, 16 p. (2016; Zbl 1397.68221) Full Text: DOI arXiv