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Volumn 22, Issue 3, 1999, Pages 429-438

Triangles in Euclidean arrangements

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EID: 0033414954     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00009471     Document Type: Article
Times cited : (15)

References (19)
  • 2
    • 51249186409 scopus 로고
    • How often is a polygon bounded by three sides?
    • R. Entringer and G. Purdy, How often is a polygon bounded by three sides? Israel J. Math., 43 (1982), 23-37.
    • (1982) Israel J. Math. , vol.43 , pp. 23-37
    • Entringer, R.1    Purdy, G.2
  • 3
    • 84968478622 scopus 로고
    • Arrangements of lines with a large number of triangles
    • Z. Füredi and I. Palasti, Arrangements of lines with a large number of triangles, Proc. Amer. Math. Soc., 92 (1984), 561-566.
    • (1984) Proc. Amer. Math. Soc. , vol.92 , pp. 561-566
    • Füredi, Z.1    Palasti, I.2
  • 4
    • 0039835579 scopus 로고    scopus 로고
    • Straight line arrangements in the real projective plane
    • D. Forge and J. L. Ramírez-Alfonsín, Straight line arrangements in the real projective plane, Discrete Comput. Geom., 20 (1998), 155-161.
    • (1998) Discrete Comput. Geom. , vol.20 , pp. 155-161
    • Forge, D.1    Ramírez-Alfonsín, J.L.2
  • 5
    • 0002188344 scopus 로고
    • Proof of a conjecture of Burr, Grünbaum, and Sloane
    • J. E. Goodman, Proof of a conjecture of Burr, Grünbaum, and Sloane, Discrete Math., 32 (1980), 27-35.
    • (1980) Discrete Math. , vol.32 , pp. 27-35
    • Goodman, J.E.1
  • 6
    • 26744464072 scopus 로고
    • Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI
    • B. Grünbaum, Arrangements and Spreads, Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, 1972.
    • (1972) Arrangements and Spreads
    • Grünbaum, B.1
  • 7
    • 84990642348 scopus 로고
    • Some simple arrangements of pseudolines with a maximum number of triangles
    • Proc. Conf., New York, 1982, Ann. N.Y. Acad. Sci.
    • H. Harborth, Some simple arrangements of pseudolines with a maximum number of triangles, in Discrete Geometry and Convexity, Proc. Conf., New York, 1982, vol. 440, Ann. N.Y. Acad. Sci., 1985, pp. 31-33.
    • (1985) Discrete Geometry and Convexity , vol.440 , pp. 31-33
    • Harborth, H.1
  • 8
    • 0040133283 scopus 로고
    • Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • D. E. Knuth, Axioms and Hulls, Lecture Notes in Computer Science, vol. 606, Springer-Verlag, Berlin, 1992.
    • (1992) Axioms and Hulls , vol.606
    • Knuth, D.E.1
  • 10
    • 0040393264 scopus 로고
    • Triangles in arrangements of lines
    • G. Purdy, Triangles in arrangements of lines, Discrete Math., 25 (1979), 157-163.
    • (1979) Discrete Math. , vol.25 , pp. 157-163
    • Purdy, G.1
  • 11
    • 0011687878 scopus 로고
    • Triangles in arrangements of lines, II
    • G. Purdy, Triangles in arrangements of lines, II, Proc. Amer. Math. Soc., 79 (1980), 77-81.
    • (1980) Proc. Amer. Math. Soc. , vol.79 , pp. 77-81
    • Purdy, G.1
  • 12
    • 0002802129 scopus 로고
    • Teilungen der ebenen durch geraden oder topologische geraden
    • G. Ringel, Teilungen der Ebenen durch Geraden oder topologische Geraden., Math. Z., 64 (1956), 79-102.
    • (1956) Math. Z. , vol.64 , pp. 79-102
    • Ringel, G.1
  • 13
    • 84960585556 scopus 로고
    • On the figures formed by the intercepts of a system of straight lines in the plane, and on analogous relations in space of three dimensions
    • S. Roberts, On the figures formed by the intercepts of a system of straight lines in the plane, and on analogous relations in space of three dimensions, Proc. London Math. Soc., 19 (1889), 405-422.
    • (1889) Proc. London Math. Soc. , vol.19 , pp. 405-422
    • Roberts, S.1
  • 14
    • 0011635153 scopus 로고
    • On the number of triangles in simple arrangements of pseudolines in the real projective plane
    • J.-P. Roudneff, On the number of triangles in simple arrangements of pseudolines in the real projective plane, Discrete Math., 60 (1986), 243-251.
    • (1986) Discrete Math. , vol.60 , pp. 243-251
    • Roudneff, J.-P.1
  • 15
    • 0039719218 scopus 로고
    • Arrangements of lines with a minimum number of triangles are simple
    • J.-P. Roudneff, Arrangements of lines with a minimum number of triangles are simple, Discrete Comput. Geom., 3 (1988), 97-102.
    • (1988) Discrete Comput. Geom. , vol.3 , pp. 97-102
    • Roudneff, J.-P.1
  • 16
    • 0029693713 scopus 로고    scopus 로고
    • The maximum number of triangles in arrangements of pseudolines
    • J.-P. Roudneff, The maximum number of triangles in arrangements of pseudolines, J. Combin. Theory Ser. B, 66 (1996), 44-74.
    • (1996) J. Combin. Theory Ser. B , vol.66 , pp. 44-74
    • Roudneff, J.-P.1
  • 17
    • 0004481426 scopus 로고
    • Simplicial cells in arrangements of hyperplanes
    • R. W. Shannon, Simplicial cells in arrangements of hyperplanes, Geom. Dedicata, 8 (1979), 179-187.
    • (1979) Geom. Dedicata , vol.8 , pp. 179-187
    • Shannon, R.W.1
  • 18
    • 0010271253 scopus 로고
    • Sweeping arrangements of curves
    • J. E. Goodman, R. Pollack, and W. Steiger, eds., American Mathematical Society, Providence, RI
    • J. Snoeyink and J. Hershberger, Sweeping arrangements of curves, in Discrete and Computational Geometry: Papers from the DIMACS Special Year, J. E. Goodman, R. Pollack, and W. Steiger, eds., American Mathematical Society, Providence, RI, 1991, pp. 309-349.
    • (1991) Discrete and Computational Geometry: Papers from the DIMACS Special Year , pp. 309-349
    • Snoeyink, J.1    Hershberger, J.2
  • 19
    • 0011570409 scopus 로고
    • Triangles in arrangements of lines
    • T. Strommer, Triangles in arrangements of lines, J. Combin. Theory Ser. A, 23 (1977), 314-320.
    • (1977) J. Combin. Theory Ser. A , vol.23 , pp. 314-320
    • Strommer, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.