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ENDM
2011
227views Hardware» more  ENDM 2011»
12 years 7 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 7 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 24 days 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 26 days 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