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Volumn , Issue , 2003, Pages 541-546

Distinct distances in three and higher dimensions

Author keywords

Distinct distances; Incidences; Point configurations

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0038107574     PISSN: 07349025     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/780542.780621     Document Type: Conference Paper
Times cited : (6)

References (18)
  • 1
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    • submitted. An earlier version appeared in Proc. 18th ACM Symp. on Computational Geometry (2002), 116-122
    • B. Aronov, V. Koltun and M. Sharir, Incidences between points and circles in three and higher dimensions, Discrete Comput. Geom., submitted. (An earlier version appeared in Proc. 18th ACM Symp. on Computational Geometry (2002), 116-122.).
    • Discrete Comput. Geom.
    • Aronov, B.1    Koltun, V.2    Sharir, M.3
  • 2
    • 33244480878 scopus 로고
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    • B. Chazelle and J. Friedman, A deterministic view of random sampling and its use in geometry, Combinatorica 10 (1990), 229-249.
    • (1990) Combinatorica , vol.10 , pp. 229-249
    • Chazelle, B.1    Friedman, J.2
  • 3
    • 2442428066 scopus 로고
    • The number of distinct distances determined by a set of points in the Euclidean plane
    • F. Chung, E. Szemerédi, and W. T. Trotter, The number of distinct distances determined by a set of points in the Euclidean plane, Discrete Comput. Geom. 7 (1992), 1-11.
    • (1992) Discrete Comput. Geom. , vol.7 , pp. 1-11
    • Chung, F.1    Szemerédi, E.2    Trotter, W.T.3
  • 5
    • 0037972198 scopus 로고    scopus 로고
    • A note on the number of distinct distances
    • G. Elekes, A note on the number of distinct distances, Periodica Math. Hung. 38(3) (1999), 173-177.
    • (1999) Periodica Math. Hung. , vol.38 , Issue.3 , pp. 173-177
    • Elekes, G.1
  • 7
    • 0000314230 scopus 로고
    • On sets of distances of n points
    • P. Erdos, On sets of distances of n points, Amer. Math. Monthly 53 (1946), 248-250.
    • (1946) Amer. Math. Monthly , vol.53 , pp. 248-250
    • Erdos, P.1
  • 8
    • 0002353692 scopus 로고    scopus 로고
    • On some of my favourite theorems
    • Combinatorics, Paul Erdos is Eighty, Vol. 2 (D. Miklós et al., eds.), Budapest
    • P. Erdos, On some of my favourite theorems, in: Combinatorics, Paul Erdos is Eighty, Vol. 2 (D. Miklós et al., eds.), Bolyai Society Mathematical Studies 2, Budapest, 1996, 97-132.
    • (1996) Bolyai Society Mathematical Studies , vol.2 , pp. 97-132
    • Erdos, P.1
  • 13
  • 15
    • 0002971301 scopus 로고
    • Unit distances in the Euclidean plane
    • B. Bollobás, ed., Academic Press, New York
    • J. Spencer, E. Szemerédi, and W. T. Trotter, Unit distances in the Euclidean plane, in: Graph Theory and Combinatorics (B. Bollobás, ed.), Academic Press, New York, 1984, 293-303.
    • (1984) Graph Theory and Combinatorics , pp. 293-303
    • Spencer, J.1    Szemerédi, E.2    Trotter, W.T.3
  • 16
    • 0346660395 scopus 로고    scopus 로고
    • Crossing numbers and hard Erdos problems in discrete geometry
    • L. Székely, Crossing numbers and hard Erdos problems in discrete geometry, Combinatorics, Probability and Computing 6 (1997), 353-358.
    • (1997) Combinatorics, Probability and Computing , vol.6 , pp. 353-358
    • Székely, L.1
  • 17
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    • Extremal problems in discrete geometry
    • E. Szemerédi and W. T. Trotter, Extremal problems in discrete geometry, Combinatorica 3 (1983), 381-392.
    • (1983) Combinatorica , vol.3 , pp. 381-392
    • Szemerédi, E.1    Trotter, W.T.2
  • 18
    • 0346269038 scopus 로고    scopus 로고
    • On distinct sums and distinct distances
    • to appear
    • G. Tardos, On distinct sums and distinct distances, Advances in Mathematics, to appear.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.