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» Some Lower Bounds on Geometric Separability Problems
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COMPGEOM
2010
ACM
15 years 2 months ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
67
Voted
ENTCS
2008
115views more  ENTCS 2008»
14 years 9 months ago
Time Separation of Events: An Inverse Method
The problem of "time separation" can be stated as follows: Given a system made of several connected components, each one entailing a local delay known with uncertainty, ...
Emmanuelle Encrenaz, Laurent Fribourg
LATIN
2010
Springer
15 years 4 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
FOCS
2008
IEEE
15 years 4 months ago
Almost-Natural Proofs
Razborov and Rudich have shown that so-called natural proofs are not useful for separating P from NP unless hard pseudorandom number generators do not exist. This famous result is...
Timothy Y. Chow
JCT
2011
84views more  JCT 2011»
14 years 4 months ago
Enumerating isodiametric and isoperimetric polygons
For a positive integer n that is not a power of 2, precisely the same family of convex polygons with n sides is optimal in three different geometric problems. These polygons have ...
Michael J. Mossinghoff