Advanced search
Publication Cover
Experimental Mathematics Volume 23, 2014 - Issue 1
Submit an article Journal homepage
240
Views
20
CrossRef citations to date
0
Altmetric
Original Articles

Random Discrete Morse Theory and a New Library of Triangulations

Bruno BenedettiInstitut für Informatik, Freie Universität Berlin, Berlin, Germany
&
Frank H. LutzInstitut for Matematiske Fag, Københavns Universitet, København Ø, DenmarkCorrespondence[email protected]
Pages 66-94 | Published online: 12 Mar 2014

Citations (20)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (2)

Jonathan Spreer & Stephan Tillmann. (2022) Determining the Trisection Genus of Orientable and Non-Orientable PL 4-Manifolds through Triangulations. Experimental Mathematics 31:3, pages 897-907.
Read now
Matthew Kahle, Frank H. Lutz, Andrew Newman & Kyle Parsons. (2020) Cohen–Lenstra Heuristics for Torsion in Homology of Random Complexes. Experimental Mathematics 29:3, pages 347-359.
Read now

Articles from other publishers (18)

Bruno Benedetti, Crystal Lai, Davide Lofano & Frank H. Lutz. (2023) Random simple-homotopy theory. Journal of Applied and Computational Topology.
Crossref
Michael Joswig, Davide Lofano, Frank H. Lutz & Mimi Tsuruga. (2022) Frontiers of sphere recognition in practice. Journal of Applied and Computational Topology 6:4, pages 503-527.
Crossref
Silvano Pitassi, Riccardo Ghiloni & Ruben Specogna. (2022) Inverting the discrete curl operator: A novel graph algorithm to find a vector potential of a given vector field. Journal of Computational Physics 466, pages 111404.
Crossref
Davide Lofano & Andrew Newman. (2021) The worst way to collapse a simplex. Israel Journal of Mathematics 244:2, pages 625-647.
Crossref
Frank H. Lutz & Jesper M. Møller. (2019) Chromatic Numbers of Simplicial Manifolds. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61:3, pages 419-453.
Crossref
Ulderico Fugacci, Federico Iuricich & Leila De Floriani. (2019) Computing discrete Morse complexes from simplicial complexes. Graphical Models 103, pages 101023.
Crossref
Mengyi Zhang & Alban Goupil. (2018) Adaptive Discrete Vector Field in Sensor Networks. Sensors 18:8, pages 2642.
Crossref
Giovanni Paolini. (2017) Collapsibility to a Subcomplex of a Given Dimension is NP-Complete. Discrete & Computational Geometry 59:1, pages 246-251.
Crossref
Aldo Gonzalez-Lorenzo, Alexandra Bac, Jean-Luc Mari & Pedro Real. (2017) Allowing cycles in discrete Morse theory. Topology and its Applications 228, pages 1-35.
Crossref
Bruno Benedetti. (2017) Mogami manifolds, nuclei, and 3D simplicial gravity. Nuclear Physics B 919, pages 541-559.
Crossref
Karim A. Adiprasito, Bruno Benedetti & Frank H. Lutz. (2017) Extremal Examples of Collapsible Complexes and Random Discrete Morse Theory. Discrete & Computational Geometry 57:4, pages 824-853.
Crossref
Benjamin A. Burton, Thomas Lewiner, João Paixão & Jonathan Spreer. (2016) Parameterized Complexity of Discrete Morse Theory. ACM Transactions on Mathematical Software 42:1, pages 1-24.
Crossref
Martin Tancer. (2015) Recognition of Collapsible Complexes is NP-Complete. Discrete & Computational Geometry 55:1, pages 21-38.
Crossref
Leila De Floriani, Ulderico Fugacci & Federico Iuricich. 2016. Perspectives in Shape Analysis. Perspectives in Shape Analysis 187 209 .
Mengyi Zhang, Alban Goupil, Maxime Colas & Guillaume Gelle. (2015) Adaptive and distributed sensor activation in WSN. Adaptive and distributed sensor activation in WSN.
Leila De Floriani, Ulderico Fugacci, Federico Iuricich & Paola Magillo. (2015) Morse complexes for shape segmentation and homological analysis: discrete models and algorithms. Computer Graphics Forum 34:2, pages 761-785.
Crossref
Ulderico Fugacci, Federico Iuricich & Leila De Floriani. (2014) Efficient Computation of Simplicial Homology through Acyclic Matching. Efficient Computation of Simplicial Homology through Acyclic Matching.
Michael Joswig, Frank H. Lutz & Mimi Tsuruga. 2014. Mathematical Software – ICMS 2014. Mathematical Software – ICMS 2014 152 159 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.