Holes in 2-convex point sets
Tài liệu tham khảo
Aichholzer, 2012, On k-convex polygons, Comput. Geom., 45, 73, 10.1016/j.comgeo.2011.09.001
Aichholzer, 2014, On k-convex point sets, Comput. Geom., 47, 809, 10.1016/j.comgeo.2014.04.004
Aichholzer, 2015, On k-gons and k-holes in point sets, Comput. Geom., 48, 528, 10.1016/j.comgeo.2014.12.007
Arkin, 2003, On the reflexivity of point sets, vol. 25, 139
Černý, 2008, A simple proof for open cups and caps, Eur. J. Comb., 29, 218, 10.1016/j.ejc.2006.09.009
Erdős, 1978, Some more problems on elementary geometry, Aust. Math. Soc. Gaz., 5, 52
Gerken, 2008, Empty convex hexagons in planar point sets, Discrete Comput. Geom., 39, 239, 10.1007/s00454-007-9018-x
Harborth, 1978, Konvexe Fünfecke in ebenen Punktmengen, Elem. Math., 33, 116
Helly, 1923, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jahresber. Dtsch. Math.-Ver., 32, 175
Horton, 1983, Sets with no empty convex 7-gons, Can. Math. Bull., 26, 482, 10.4153/CMB-1983-077-8
Nicolás, 2007, The empty hexagon theorem, Discrete Comput. Geom., 38, 389, 10.1007/s00454-007-1343-6
Valtr, 1992, Convex independent sets and 7-holes in restricted planar point sets, Discrete Comput. Geom., 7, 135, 10.1007/BF02187831
Valtr, 1992, Sets in Rd with no large empty convex subsets, Discrete Math., 108, 115, 10.1016/0012-365X(92)90665-3
Valtr, 2002, A sufficient condition for the existence of large empty convex polygons, Discrete Comput. Geom., 28, 671, 10.1007/s00454-002-2898-x
Valtr, 2007, Open caps and cups in planar point sets, Discrete Comput. Geom., 37, 565, 10.1007/s00454-006-1286-3
Valtr, 2007, Empty convex polygons in almost convex sets, Period. Math. Hung., 55, 121, 10.1007/s10998-007-4121-z