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» On Convex Quadrangulations of Point Sets on the Plane
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CJCDGCGT
2005
Springer
13 years 10 months ago
On Convex Quadrangulations of Point Sets on the Plane
V. M. Heredia, Jorge Urrutia
CORR
2002
Springer
86views Education» more  CORR 2002»
13 years 4 months ago
Small Strictly Convex Quadrilateral Meshes of Point Sets
In this paper we give upper and lower bounds on the number of Steiner points required to construct a strictly convex quadrilateral mesh for a planar point set. In particular, we sh...
David Bremner, Ferran Hurtado, Suneeta Ramaswami, ...
WADS
1995
Springer
107views Algorithms» more  WADS 1995»
13 years 8 months ago
Quadrangulations of Planar Sets
We consider the problem of obtaining “nice” quadrangulations of planar sets of points. For many applications “nice” means that the quadrilaterals obtained are convex if po...
Godfried T. Toussaint
GD
2004
Springer
13 years 10 months ago
Long Alternating Paths in Bicolored Point Sets
Given n red and n blue points in convex position in the plane, we show that there exists a noncrossing alternating path of length n + c n log n . We disprove a conjecture of Erd˝o...
Jan Kyncl, János Pach, Géza Tó...
SIAMDM
2011
12 years 11 months ago
On Maximal S-Free Convex Sets
Let S ⊆ Zn satisfy the property that conv(S) ∩ Zn = S. Then a convex set K is called an S-free convex set if int(K) ∩ S = ∅. A maximal S-free convex set is an S-free convex...
Diego A. Morán R., Santanu S. Dey