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» Tight Bounds for Point Recolouring
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ESA
1999
Springer
110views Algorithms» more  ESA 1999»
13 years 10 months ago
Geometric Searching over the Rationals
We revisit classical geometric search problems under the assumption of rational coordinates. Our main result is a tight bound for point separation, ie, to determine whether n given...
Bernard Chazelle
STOC
2001
ACM
116views Algorithms» more  STOC 2001»
14 years 6 months ago
One line and n points
: We analyze a randomized pivoting process involving one line and n points in the plane. The process models the behavior of the RANDOM-EDGE simplex algorithm on simple polytopes wi...
Bernd Gärtner, József Solymosi, Falk T...
CORR
2010
Springer
159views Education» more  CORR 2010»
13 years 3 months ago
Counting Plane Graphs: Flippability and its Applications
We generalize the notions of flippable and simultaneously-flippable edges in a triangulation of a set S of points in the plane, into so called pseudo simultaneously-flippable edge...
Michael Hoffmann, Micha Sharir, Adam Sheffer, Csab...
CCCG
2003
13 years 7 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...
FOCS
2008
IEEE
14 years 18 days ago
Nearly Tight Low Stretch Spanning Trees
We prove that any graph G with n points has a distribution T over spanning trees such that for any edge (u, v) the expected stretch ET ∼T [dT (u, v)/dG(u, v)] is bounded by ˜O(...
Ittai Abraham, Yair Bartal, Ofer Neiman