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ENDM
2011
227views Hardware» more  ENDM 2011»
12 years 10 months ago
Bichromatic Triangle Games
We study a combinatorial game called Bichromatic Triangle Game, defined as follows. Two players R and B construct a triangulation on a given planar point set V . Starting from no...
Gordana Manic, Daniel M. Martin, Milos Stojakovic
COMGEO
2004
ACM
13 years 10 months ago
Convexity minimizes pseudo-triangulations
The number of minimum pseudo-triangulations is minimized for point sets in convex position. 2004 Elsevier B.V. All rights reserved.
Oswin Aichholzer, Franz Aurenhammer, Hannes Krasse...
GD
2004
Springer
14 years 4 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...
COMPGEOM
2004
ACM
14 years 4 months ago
On distinct distances from a vertex of a convex polygon
Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Adrian Dumitrescu