Hardness Results for Homology Localization

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Cite
Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization”. Discrete &Amp; Computational Geometry, vol. 45, no. 3, 2011, pp. 425-48, https://doi.org/10.1007/s00454-010-9322-8.
Chen, C., & Freedman, D. (2011). Hardness Results for Homology Localization. Discrete &Amp; Computational Geometry, 45(3), 425-448. https://doi.org/10.1007/s00454-010-9322-8
Chen, Chao, and Daniel Freedman. “Hardness Results for Homology Localization”. Discrete &Amp; Computational Geometry 45, no. 3 (2011): 425-48. https://doi.org/10.1007/s00454-010-9322-8.
Chen C, Freedman D. Hardness Results for Homology Localization. Discrete & Computational Geometry. 2011;45(3):425-48.
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 15 2010
10.1090/S0273-0979-09-01249-X Bulletin of the American Mathematical Society 2009
Finding the Homology of Submanifolds with High Confidence from Random Samples Discrete & Computational Geometry
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Reductions, completeness and the hardness of approximability European Journal of Operational Research
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 7 2006
10.1142/S021819590600204X 2006
Citations
Title Journal Journal Categories Citations Publication Date
The parameterized complexity of finding minimum bounded chains Computational Geometry
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  • Science: Mathematics
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
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 2024
Stable volumes for persistent homology

 Journal of Applied and Computational Topology 1 2023
Computing Persistent Homology by Spanning Trees and Critical Simplices

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  • Science: Science (General)
 2 2023
Lexicographic Optimal Homologous Chains and Applications to Point Cloud Triangulations Discrete & Computational Geometry
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
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  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 2022
Persistence Cycles for Visual Exploration of Persistent Homology IEEE Transactions on Visualization and Computer Graphics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware
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Citations Analysis
Category Category Repetition
Science: Mathematics8
Technology: Engineering (General). Civil engineering (General)6
Science: Mathematics: Instruments and machines: Electronic computers. Computer science5
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods4
Science: Science (General)3
Science: Mathematics: Instruments and machines: Electronic computers. Computer science: Computer software2
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics: Computer engineering. Computer hardware2
Science2
Science: Science (General): Cybernetics: Information theory1
Medicine1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electric apparatus and materials. Electric circuits. Electric networks1
Science: Physics1
Science: Chemistry: General. Including alchemy1
Science: Chemistry1
Medicine: Medicine (General): Computer applications to medicine. Medical informatics1
Science: Biology (General)1
Medicine: Internal medicine: Neurosciences. Biological psychiatry. Neuropsychiatry1
The category Science: Mathematics 8 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Structural Analysis of Multivariate Point Clouds Using Simplicial Chains and was published in 2014. The most recent citation comes from a 2024 study titled The parameterized complexity of finding minimum bounded chains. This article reached its peak citation in 2021, with 3 citations. It has been cited in 17 different journals, 23% of which are open access. Among related journals, the Discrete & Computational Geometry cited this research the most, with 3 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year