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Volumn 13, Issue 3, 2004, Pages 283-293

Distinct distances in three and higher dimensions

Author keywords

[No Author keywords available]

Indexed keywords

DISTINCT DISTANCES; PIGEONHOLE PRINCIPLE; THREE-DIMENSIONAL SPACES; THREE-DIMENSIONAL SPHERES;

EID: 3142567132     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548304006091     Document Type: Article
Times cited : (14)

References (19)
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    • Aronov, B., Koltun, V. and Sharir, M. (2002) Incidences between points and circles in three and higher dimensions. To appear in Discrete Comput. Geom. (An earlier version appeared in Proc. 18th ACM Symp. on Computational Geometry, pp. 116-122.)
    • (2002) Discrete Comput. Geom. , pp. 116-122
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  • 2
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  • 3
    • 2442428066 scopus 로고
    • The number of distinct distances determined by a set of points in the Euclidean plane
    • Chung, F., Szemerédi, E. and Trotter, W. T. (1992) The number of distinct distances determined by a set of points in the Euclidean plane. Discrete Comput. Geom. 7 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
    • Elekes, G. (1999) A note on the number of distinct distances. Periodica Math. Hung. 38 173-177.
    • (1999) Periodica Math. Hung. , vol.38 , pp. 173-177
    • Elekes, G.1
  • 7
    • 0000314230 scopus 로고
    • On sets of distances of n points
    • Erdös, P. (1946) On sets of distances of n points. Amer. Math. Monthly 53 248-250.
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    • Erdös, P.1
  • 8
    • 0002353692 scopus 로고    scopus 로고
    • On some of my favourite theorems
    • (D. Miklós et al.), eds, Vol. 2 of Bolyai Society Mathematical Studies, Budapest
    • Erdös, P. (1996) On some of my favourite theorems. In Combinatorics: Paul Erdös is Eighty, Vol. 2 (D. Miklós et al., eds), Vol. 2 of Bolyai Society Mathematical Studies, Budapest, pp. 97-132.
    • (1996) Combinatorics: Paul Erdös Is Eighty , vol.2 , pp. 97-132
    • Erdös, P.1
  • 9
    • 3142553531 scopus 로고    scopus 로고
    • An improvement of a lemma of Tardos
    • Submitted to
    • Katz, N. An improvement of a lemma of Tardos. Submitted to Combinatorica.
    • Combinatorica
    • Katz, N.1
  • 10
    • 28844509114 scopus 로고    scopus 로고
    • A new entropy inequality for the Erdös distance problem
    • (J. Pach, ed.), Contemporary Mathematics, AMS, Providence, RI, in press
    • Katz, N. and Tardos, G. (2004) A new entropy inequality for the Erdös distance problem. In Towards a Theory of Geometric Graphs (J. Pach, ed.), Contemporary Mathematics, AMS, Providence, RI, in press.
    • (2004) Towards a Theory of Geometric Graphs
    • Katz, N.1    Tardos, G.2
  • 14
    • 33646428300 scopus 로고    scopus 로고
    • Distinct distances in high-dimensional homogeneous sets
    • (J. Pach, ed.), Contemporary Mathematics, AMS, Providence, RI, in press. Also in Proc. 19th ACM Symp. on Computational Geometry
    • Solymosi, J. and Vu, V. (2004) Distinct distances in high-dimensional homogeneous sets. In Towards a Theory of Geometric Graphs (J. Pach, ed.), Contemporary Mathematics, AMS, Providence, RI, in press. Also in Proc. 19th ACM Symp. on Computational Geometry, pp. 104-105.
    • (2004) Towards a Theory of Geometric Graphs , pp. 104-105
    • Solymosi, J.1    Vu, V.2
  • 15
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    • Distinct distances in the plane
    • Solymosi, J. and Tóth, C. (2001) Distinct distances in the plane. Discrete Comput. Geom. 25 629-634.
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    • Solymosi, J.1    Tóth, C.2
  • 16
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  • 17
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  • 19
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    • On distinct sums and distinct distances
    • Tardos, G. (2003) On distinct sums and distinct distances. Adv. Math. 180 275-289.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.