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Volumn 5431 LNCS, Issue , 2009, Pages 274-285

The planar k-means problem is NP-hard

Author keywords

[No Author keywords available]

Indexed keywords

EUCLIDEAN DISTANCE; FINITE SET; K POINTS; K-MEANS; NP-HARD;

EID: 67650468452     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-00202-1_24     Document Type: Conference Paper
Times cited : (318)

References (19)
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    • 67650404457 scopus 로고    scopus 로고
    • Aloise, D., Deshpande, A., Hansen, P., Popat, P.: NP-Hardness of Euclidean Sumof- Squares Clustering. Technical Report G-2008-33, Les Cahiers du GERAD (to appear in Machine Learning) (April 2008)
    • Aloise, D., Deshpande, A., Hansen, P., Popat, P.: NP-Hardness of Euclidean Sumof- Squares Clustering. Technical Report G-2008-33, Les Cahiers du GERAD (to appear in Machine Learning) (April 2008)
  • 2
    • 33744911386 scopus 로고    scopus 로고
    • The directed planar reachability problem
    • Ramanujam, R, Sen, S, eds, FSTTCS 2005, Springer, Heidelberg
    • Allender, E., Datta, S., Roy, S.: The directed planar reachability problem. In: Ramanujam, R., Sen, S. (eds.) FSTTCS 2005. LNCS, vol. 3821, pp. 238-249. Springer, Heidelberg (2005)
    • (2005) LNCS , vol.3821 , pp. 238-249
    • Allender, E.1    Datta, S.2    Roy, S.3
  • 3
    • 38749098136 scopus 로고    scopus 로고
    • Worst-case and smoothed analysis of the ICP algorithm, with an application to the k-means method
    • Arthur, D., Vassilvitskii, S.: Worst-case and smoothed analysis of the ICP algorithm, with an application to the k-means method. In: Proc. IEEE Symp. Foundations of Computer Science (2006)
    • (2006) Proc. IEEE Symp. Foundations of Computer Science
    • Arthur, D.1    Vassilvitskii, S.2
  • 6
    • 62249180094 scopus 로고    scopus 로고
    • The hardness of k-means clustering
    • Technical Report CS2007-0890, University of California, San Diego
    • Dasgupta, S.: The hardness of k-means clustering. Technical Report CS2007-0890, University of California, San Diego (2007)
    • (2007)
    • Dasgupta, S.1
  • 11
    • 0027928863 scopus 로고
    • Applications of weighted Voronoi diagrams and randomization to variance-based clustering
    • Inaba, M., Katoh, N., Imai, H.: Applications of weighted Voronoi diagrams and randomization to variance-based clustering. In: Proc. Annual Symp. on Comput. Geom., pp. 332-339 (1994)
    • (1994) Proc. Annual Symp. on Comput. Geom , pp. 332-339
    • Inaba, M.1    Katoh, N.2    Imai, H.3
  • 13
    • 11244288693 scopus 로고    scopus 로고
    • A simple linear time (1 + e) approximation algorithm for k-means clustering in any dimensions
    • Kumar, A., Sabharwal, Y., Sen, S.: A simple linear time (1 + e) approximation algorithm for k-means clustering in any dimensions. In: Proc. IEEE Symp. Foundations of Computer Science, pp. 454-462 (2004)
    • (2004) Proc. IEEE Symp. Foundations of Computer Science , pp. 454-462
    • Kumar, A.1    Sabharwal, Y.2    Sen, S.3
  • 15
    • 0002794707 scopus 로고
    • Planar formulae and their uses
    • Lichtenstein, D.: Planar formulae and their uses. SIAM J. Comput. 11, 329-343 (1982)
    • (1982) SIAM J. Comput , vol.11 , pp. 329-343
    • Lichtenstein, D.1
  • 17
    • 0021373110 scopus 로고
    • On the complexity of some common geometric location problems
    • Megiddo, N., Supowit, K.: On the complexity of some common geometric location problems. SIAM J. Comput. 13, 182-196 (1984)
    • (1984) SIAM J. Comput , vol.13 , pp. 182-196
    • Megiddo, N.1    Supowit, K.2
  • 19
    • 0019532794 scopus 로고
    • Universality considerations in VLSI circuits
    • Valiant, L.G.: Universality considerations in VLSI circuits. IEEE Transactions on Computers 30, 135-140 (1981)
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    • Valiant, L.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.