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Volumn 73, Issue 3, 2015, Pages 607-619

The Compressed Annotation Matrix: An Efficient Data Structure for Computing Persistent Cohomology

Author keywords

Algorithm; Annotation; Data structure; Implementation; Persistent cohomology; Simplicial complex

Indexed keywords

ALGORITHMS; DATA STRUCTURES; TOPOLOGY;

EID: 84945459116     PISSN: 01784617     EISSN: 14320541     Source Type: Journal    
DOI: 10.1007/s00453-015-9999-4     Document Type: Article
Times cited : (23)

References (19)
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    • Bauer, U., Kerber, M., Reininghaus, J.: PHAT. https://code.google.com/p/phat/ (2013)
  • 4
    • 84901520703 scopus 로고    scopus 로고
    • The simplex tree: an efficient data structure for general simplicial complexes
    • Boissonnat, J.-D., Maria, C.: The simplex tree: an efficient data structure for general simplicial complexes. Algorithmica 70(3), 406–427 (2014)
    • (2014) Algorithmica , vol.70 , Issue.3 , pp. 406-427
    • Boissonnat, J.-D.1    Maria, C.2
  • 5
    • 84863084755 scopus 로고    scopus 로고
    • Annotating simplices with a homology basis and its applications
    • Busaryev, O., Cabello, S., Chen, C., Dey, T.K., Wang, Y.: Annotating simplices with a homology basis and its applications. In: SWAT, pp. 189–200 (2012)
    • (2012) SWAT , pp. 189-200
    • Busaryev, O.1    Cabello, S.2    Chen, C.3    Dey, T.K.4    Wang, Y.5
  • 7
    • 84992504901 scopus 로고    scopus 로고
    • An output-sensitive algorithm for persistent homology
    • Chen, C., Kerber, M.: An output-sensitive algorithm for persistent homology. Comput. Geom. 46(4), 435–447 (2013)
    • (2013) Comput. Geom. , vol.46 , Issue.4 , pp. 435-447
    • Chen, C.1    Kerber, M.2
  • 14
    • 85018120597 scopus 로고    scopus 로고
    • Maria, C.: Gudhi, Simplicial Complexes and Persistent Homology Packages. https://project.inria.fr/gudhi/software/
  • 17
    • 85018113160 scopus 로고    scopus 로고
    • Morozov, D.: Dionysus. http://www.mrzv.org/software/dionysus/
  • 18
    • 78149252299 scopus 로고    scopus 로고
    • Persistence algorithm takes cubic time in worst case
    • Department of Computer Science, Duke University
    • Morozov, D.: Persistence algorithm takes cubic time in worst case. In: BioGeometry News, Department of Computer Science, Duke University (2005)
    • (2005) BioGeometry News
    • Morozov, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.