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Volumn 48, Issue 2, 2006, Pages 151-164

Computer solution to the 17-point Erdos-Szekeres problem

Author keywords

Convex polygons and polyhedra; Erdos Szekeres problem; Generalized convexity; Ramsey theory

Indexed keywords


EID: 33847090749     PISSN: 14461811     EISSN: None     Source Type: Journal    
DOI: 10.1017/s144618110000300x     Document Type: Article
Times cited : (87)

References (9)
  • 1
    • 0040146445 scopus 로고
    • "On convex polygons determined by a finite planar set"
    • W. E. Bonnice, "On convex polygons determined by a finite planar set", Amer. Math. Monthly 81 (1974) 749-752.
    • (1974) Amer. Math. Monthly , vol.81 , pp. 749-752
    • Bonnice, W.E.1
  • 2
    • 0032387363 scopus 로고    scopus 로고
    • "Forced convex n-gons in the plane"
    • F. R. K. Chung and R. L. Graham, "Forced convex n-gons in the plane", Discrete Comput. Geom. 19 (1998) 367-371, Special Issue.
    • (1998) Discrete Comput. Geom. , vol.19 , Issue.SPEC. ISSUE , pp. 367-371
    • Chung, F.R.K.1    Graham, R.L.2
  • 3
    • 0001086798 scopus 로고
    • "A combinatorial problem in geometry"
    • P. Erdos and G. Szekeres, "A combinatorial problem in geometry", Compositio Math. 2 (1935) 463-470.
    • (1935) Compositio Math. , vol.2 , pp. 463-470
    • Erdos, P.1    Szekeres, G.2
  • 7
    • 85009761283 scopus 로고    scopus 로고
    • "The Erdos-Szekeres problem on points in convex position. A survey"
    • W. Morris and V. Soltan, "The Erdos-Szekeres problem on points in convex position. A survey", Bull. Amer. Math. Soc. (N.S.) 37 (2000) 437-458.
    • (2000) Bull. Amer. Math. Soc. (N.S.) , vol.37 , pp. 437-458
    • Morris, W.1    Soltan, V.2
  • 8
    • 33747075763 scopus 로고    scopus 로고
    • "The Erdos-Szekeres theorem: Upper bounds and related results"
    • in Math. Sci. Res. Inst. Publ. (Cambridge Univ. Press, Cambridge)
    • G. Toth and P. Valtr, "The Erdos-Szekeres theorem: upper bounds and related results", in Combinatorial and computational geometry, Math. Sci. Res. Inst. Publ. 52, (Cambridge Univ. Press, Cambridge, 2005) 557-568.
    • (2005) Combinatorial and Computational Geometry , vol.52 , pp. 557-568
    • Toth, G.1    Valtr, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.