Vietoris–Rips complex (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Vietoris–Rips complex" in English language version.

refsWebsite

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7doi.org

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7semanticscholar.org

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6ams.org

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2nih.gov

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1illinois.edu

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1psu.edu

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1upenn.edu

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1harvard.edu

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1web.archive.org

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1worldcat.org

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ams.org

mathscinet.ams.org

Vietoris (1927); Lefschetz (1942); Hausmann (1995); Reitberger (2002). Vietoris, Leopold (1927), "Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen", Mathematische Annalen, 97 (1): 454–472, doi:10.1007/BF01447877, S2CID 121172198. Lefschetz, Solomon (1942), Algebraic Topology, New York: Amer. Math. Soc., p. 271, MR 0007093. Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).
Hausmann (1995); Reitberger (2002). Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).
Hausmann (1995), Latschev (2001). Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Latschev, Janko (2001), "Vietoris–Rips complexes of metric spaces near a closed Riemannian manifold", Archiv der Mathematik, 77 (6): 522–528, doi:10.1007/PL00000526, MR 1879057, S2CID 119878137.

ams.org

Vietoris (1927); Lefschetz (1942); Hausmann (1995); Reitberger (2002). Vietoris, Leopold (1927), "Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen", Mathematische Annalen, 97 (1): 454–472, doi:10.1007/BF01447877, S2CID 121172198. Lefschetz, Solomon (1942), Algebraic Topology, New York: Amer. Math. Soc., p. 271, MR 0007093. Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).
Hausmann (1995); Reitberger (2002). Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).
Reitberger (2002). Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).

doi.org

Vietoris (1927); Lefschetz (1942); Hausmann (1995); Reitberger (2002). Vietoris, Leopold (1927), "Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen", Mathematische Annalen, 97 (1): 454–472, doi:10.1007/BF01447877, S2CID 121172198. Lefschetz, Solomon (1942), Algebraic Topology, New York: Amer. Math. Soc., p. 271, MR 0007093. Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).
Chambers, Erickson & Worah (2008). Chambers, Erin W.; Erickson, Jeff; Worah, Pratik (2008), "Testing contractibility in planar Rips complexes", Proceedings of the 24th Annual ACM Symposium on Computational Geometry, pp. 251–259, CiteSeerX 10.1.1.296.6424, doi:10.1145/1377676.1377721, S2CID 8072058.
Hausmann (1995), Latschev (2001). Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Latschev, Janko (2001), "Vietoris–Rips complexes of metric spaces near a closed Riemannian manifold", Archiv der Mathematik, 77 (6): 522–528, doi:10.1007/PL00000526, MR 1879057, S2CID 119878137.
de Silva & Ghrist (2006), Muhammad & Jadbabaie (2007). de Silva, Vin; Ghrist, Robert (2006), "Coordinate-free coverage in sensor networks with controlled boundaries via homology", The International Journal of Robotics Research, 25 (12): 1205–1222, doi:10.1177/0278364906072252, S2CID 10210836. Muhammad, A.; Jadbabaie, A. (2007), "Dynamic coverage verification in mobile sensor networks via switched higher order Laplacians" (PDF), in Broch, Oliver (ed.), Robotics: Science and Systems, MIT Press.
Wadhwa et al. 2018. Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018), "TDAstats: R pipeline for computing persistent homology in topological data analysis", Journal of Open Source Software, 3 (28): 860, Bibcode:2018JOSS....3..860R, doi:10.21105/joss.00860, PMC 7771879, PMID 33381678
Carlsson, Carlsson & de Silva (2006). Carlsson, Erik; Carlsson, Gunnar; de Silva, Vin (2006), "An algebraic topological method for feature identification" (PDF), International Journal of Computational Geometry and Applications, 16 (4): 291–314, doi:10.1142/S021819590600204X, S2CID 5831809, archived from the original (PDF) on 2019-03-04.
Dey, Tamal K.; Shi, Dayu; Wang, Yusu (2019-01-30). "SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse". ACM Journal of Experimental Algorithmics. 24: 1.5:1–1.5:16. doi:10.1145/3284360. ISSN 1084-6654. S2CID 216028146.

harvard.edu

ui.adsabs.harvard.edu

Wadhwa et al. 2018. Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018), "TDAstats: R pipeline for computing persistent homology in topological data analysis", Journal of Open Source Software, 3 (28): 860, Bibcode:2018JOSS....3..860R, doi:10.21105/joss.00860, PMC 7771879, PMID 33381678

illinois.edu

jeffe.cs.illinois.edu

Chambers, Erickson & Worah (2008). Chambers, Erin W.; Erickson, Jeff; Worah, Pratik (2008), "Testing contractibility in planar Rips complexes", Proceedings of the 24th Annual ACM Symposium on Computational Geometry, pp. 251–259, CiteSeerX 10.1.1.296.6424, doi:10.1145/1377676.1377721, S2CID 8072058.

nih.gov

ncbi.nlm.nih.gov

Wadhwa et al. 2018. Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018), "TDAstats: R pipeline for computing persistent homology in topological data analysis", Journal of Open Source Software, 3 (28): 860, Bibcode:2018JOSS....3..860R, doi:10.21105/joss.00860, PMC 7771879, PMID 33381678

pubmed.ncbi.nlm.nih.gov

Wadhwa et al. 2018. Wadhwa, Raoul; Williamson, Drew; Dhawan, Andrew; Scott, Jacob (2018), "TDAstats: R pipeline for computing persistent homology in topological data analysis", Journal of Open Source Software, 3 (28): 860, Bibcode:2018JOSS....3..860R, doi:10.21105/joss.00860, PMC 7771879, PMID 33381678

psu.edu

citeseerx.ist.psu.edu

Chambers, Erickson & Worah (2008). Chambers, Erin W.; Erickson, Jeff; Worah, Pratik (2008), "Testing contractibility in planar Rips complexes", Proceedings of the 24th Annual ACM Symposium on Computational Geometry, pp. 251–259, CiteSeerX 10.1.1.296.6424, doi:10.1145/1377676.1377721, S2CID 8072058.

semanticscholar.org

api.semanticscholar.org

Vietoris (1927); Lefschetz (1942); Hausmann (1995); Reitberger (2002). Vietoris, Leopold (1927), "Über den höheren Zusammenhang kompakter Räume und eine Klasse von zusammenhangstreuen Abbildungen", Mathematische Annalen, 97 (1): 454–472, doi:10.1007/BF01447877, S2CID 121172198. Lefschetz, Solomon (1942), Algebraic Topology, New York: Amer. Math. Soc., p. 271, MR 0007093. Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Reitberger, Heinrich (2002), "Leopold Vietoris (1891–2002)" (PDF), Notices of the American Mathematical Society, 49 (20).
Chambers, Erickson & Worah (2008). Chambers, Erin W.; Erickson, Jeff; Worah, Pratik (2008), "Testing contractibility in planar Rips complexes", Proceedings of the 24th Annual ACM Symposium on Computational Geometry, pp. 251–259, CiteSeerX 10.1.1.296.6424, doi:10.1145/1377676.1377721, S2CID 8072058.
Hausmann (1995), Latschev (2001). Hausmann, Jean-Claude (1995), "On the Vietoris–Rips complexes and a cohomology theory for metric spaces", Prospects in Topology: Proceedings of a conference in honour of William Browder, Annals of Mathematics Studies, vol. 138, Princeton University Press, pp. 175–188, MR 1368659. Latschev, Janko (2001), "Vietoris–Rips complexes of metric spaces near a closed Riemannian manifold", Archiv der Mathematik, 77 (6): 522–528, doi:10.1007/PL00000526, MR 1879057, S2CID 119878137.
de Silva & Ghrist (2006), Muhammad & Jadbabaie (2007). de Silva, Vin; Ghrist, Robert (2006), "Coordinate-free coverage in sensor networks with controlled boundaries via homology", The International Journal of Robotics Research, 25 (12): 1205–1222, doi:10.1177/0278364906072252, S2CID 10210836. Muhammad, A.; Jadbabaie, A. (2007), "Dynamic coverage verification in mobile sensor networks via switched higher order Laplacians" (PDF), in Broch, Oliver (ed.), Robotics: Science and Systems, MIT Press.
Carlsson, Carlsson & de Silva (2006). Carlsson, Erik; Carlsson, Gunnar; de Silva, Vin (2006), "An algebraic topological method for feature identification" (PDF), International Journal of Computational Geometry and Applications, 16 (4): 291–314, doi:10.1142/S021819590600204X, S2CID 5831809, archived from the original (PDF) on 2019-03-04.
Dey, Tamal K.; Shi, Dayu; Wang, Yusu (2019-01-30). "SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse". ACM Journal of Experimental Algorithmics. 24: 1.5:1–1.5:16. doi:10.1145/3284360. ISSN 1084-6654. S2CID 216028146.

pdfs.semanticscholar.org

Carlsson, Carlsson & de Silva (2006). Carlsson, Erik; Carlsson, Gunnar; de Silva, Vin (2006), "An algebraic topological method for feature identification" (PDF), International Journal of Computational Geometry and Applications, 16 (4): 291–314, doi:10.1142/S021819590600204X, S2CID 5831809, archived from the original (PDF) on 2019-03-04.

upenn.edu

seas.upenn.edu

de Silva & Ghrist (2006), Muhammad & Jadbabaie (2007). de Silva, Vin; Ghrist, Robert (2006), "Coordinate-free coverage in sensor networks with controlled boundaries via homology", The International Journal of Robotics Research, 25 (12): 1205–1222, doi:10.1177/0278364906072252, S2CID 10210836. Muhammad, A.; Jadbabaie, A. (2007), "Dynamic coverage verification in mobile sensor networks via switched higher order Laplacians" (PDF), in Broch, Oliver (ed.), Robotics: Science and Systems, MIT Press.

web.archive.org

Carlsson, Carlsson & de Silva (2006). Carlsson, Erik; Carlsson, Gunnar; de Silva, Vin (2006), "An algebraic topological method for feature identification" (PDF), International Journal of Computational Geometry and Applications, 16 (4): 291–314, doi:10.1142/S021819590600204X, S2CID 5831809, archived from the original (PDF) on 2019-03-04.

worldcat.org

Dey, Tamal K.; Shi, Dayu; Wang, Yusu (2019-01-30). "SimBa: An Efficient Tool for Approximating Rips-filtration Persistence via Simplicial Batch Collapse". ACM Journal of Experimental Algorithmics. 24: 1.5:1–1.5:16. doi:10.1145/3284360. ISSN 1084-6654. S2CID 216028146.