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Volumn 6, Issue 3, 1997, Pages 353-358

Crossing Numbers and Hard Erdos Problems in Discrete Geometry

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EID: 0346660395     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548397002976     Document Type: Article
Times cited : (251)

References (26)
  • 2
    • 51249182548 scopus 로고
    • On the lattice property of the plane and some problems of Dirac, Motzkin, and Erdos in combinatorial geometry
    • Beck, J. (1983) On the lattice property of the plane and some problems of Dirac, Motzkin, and Erdos in combinatorial geometry. Combinatorica 3 281-297.
    • (1983) Combinatorica , vol.3 , pp. 281-297
    • Beck, J.1
  • 5
    • 0003660477 scopus 로고
    • On the number of different distances determined by n points in the plane
    • Chung, F. R. K. (1992) On the number of different distances determined by n points in the plane. J. Combinatorial Theory A 36 342-354.
    • (1992) J. Combinatorial Theory A , vol.36 , pp. 342-354
    • Chung, F.R.K.1
  • 7
    • 2442428066 scopus 로고
    • The number of different distances determined by a set of points in the Euclidean plane
    • Chung, F. R. K., Szemerédi, E. and Trotter, W. T. (1992) The number of different distances determined by a set of points in the Euclidean plane. Discrete Comp. Geometry 7 1-11.
    • (1992) Discrete Comp. Geometry , vol.7 , pp. 1-11
    • Chung, F.R.K.1    Szemerédi, E.2    Trotter, W.T.3
  • 8
    • 0000314230 scopus 로고
    • On sets of distances of n points
    • Erdos, P. (1946) On sets of distances of n points. Amer. Math. Monthly 53 248-250.
    • (1946) Amer. Math. Monthly , vol.53 , pp. 248-250
    • Erdos, P.1
  • 9
    • 85033129279 scopus 로고    scopus 로고
    • Problems and results in combinatorial geometry
    • Erdos, P. Problems and results in combinatorial geometry. Proc. New York Acad. Sci.
    • Proc. New York Acad. Sci.
    • Erdos, P.1
  • 10
    • 0002436460 scopus 로고
    • Crossing number problems
    • Erdos, P. and Guy, R. K. (1973) Crossing number problems. Am. Math. Monthly 80 52-58.
    • (1973) Am. Math. Monthly , vol.80 , pp. 52-58
    • Erdos, P.1    Guy, R.K.2
  • 15
    • 0011655829 scopus 로고
    • On stable crossing numbers
    • Kainen, P. C. and White, A. T. (1978) On stable crossing numbers. J. Graph Theory 2 181-187.
    • (1978) J. Graph Theory , vol.2 , pp. 181-187
    • Kainen, P.C.1    White, A.T.2
  • 17
    • 0002186120 scopus 로고
    • On the different distances determined by n points
    • Moser, L. (1952) On the different distances determined by n points. Am. Math. Monthly 59 85-91.
    • (1952) Am. Math. Monthly , vol.59 , pp. 85-91
    • Moser, L.1
  • 19
    • 38249014223 scopus 로고
    • Repeated angles in the plane and related problems
    • Pach, J. and Sharir, M. (1992) Repeated angles in the plane and related problems. J. Combinatorial Theory A 59 12-22.
    • (1992) J. Combinatorial Theory A , vol.59 , pp. 12-22
    • Pach, J.1    Sharir, M.2
  • 20
    • 0010952657 scopus 로고
    • Inclusion-exclusion formulae without higher terms
    • Székely, L. A. (1987) Inclusion-exclusion formulae without higher terms. Ars Combinatoria 23B 7-20.
    • (1987) Ars Combinatoria , vol.23 B , pp. 7-20
    • Székely, L.A.1
  • 22
    • 0347392615 scopus 로고    scopus 로고
    • Drawings of graphs on surfaces with few crossings
    • Shahrokhi, F., Sýkora, O., Székely, L. A. and Vrťo, I. (1994) Improved bounds for the crossing numbers on surfaces of genus g. In J. van Leeuwen (ed), Graph-Theoretic Concepts in Computer Science. Proc. 19th Int. Workshop WG'93. Lecture Notes in Computer Science 790 Springer-Verlag, 388-395. (Also see: (1996) Drawings of graphs on surfaces with few crossings. Algorithmica 16 118-131.)
    • (1996) Algorithmica , vol.16 , pp. 118-131
  • 24
    • 0002971301 scopus 로고
    • Unit distances in the Euclidean plane
    • B. Bollobás (ed), Academic Press
    • Spencer, J., Szemerédi, E. and Trotter, W. T. (1984) Unit distances in the Euclidean plane. In B. Bollobás (ed), Graph Theory and Combinatorics Academic Press, 293-308.
    • (1984) Graph Theory and Combinatorics , pp. 293-308
    • Spencer, J.1    Szemerédi, E.2    Trotter, W.T.3
  • 25
    • 51249182705 scopus 로고
    • Extremal problems in discrete geometry
    • Szemerédi, E. and Trotter, W. T. (1983) Extremal problems in discrete geometry Combinatorica 3 381-392.
    • (1983) Combinatorica , vol.3 , pp. 381-392
    • Szemerédi, E.1    Trotter, W.T.2
  • 26
    • 85008387823 scopus 로고
    • A combinatorial distinction between the Euclidean and projective planes
    • Szemerédi, E. and Trotter, W. T. (1983) A combinatorial distinction between the Euclidean and projective planes. Euro. J. Combinatorics 4 385-394.
    • (1983) Euro. J. Combinatorics , vol.4 , pp. 385-394
    • Szemerédi, E.1    Trotter, W.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.