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COMBINATORICA
2004
79views more  COMBINATORICA 2004»
13 years 6 months ago
The Deletion Method For Upper Tail Estimates
We present a new method to show concentration of the upper tail of random variables that can be written as sums of variables with plenty of independence. We compare our method with...
Svante Janson, Andrzej Rucinski
WADS
2005
Springer
111views Algorithms» more  WADS 2005»
14 years 6 days ago
On Geometric Dilation and Halving Chords
Let G be an embedded planar graph whose edges may be curves. The detour between two points, p and q (on edges or vertices) of G, is the ratio between the shortest path in G between...
Adrian Dumitrescu, Annette Ebbers-Baumann, Ansgar ...
GC
2007
Springer
13 years 6 months ago
Decompositions, Partitions, and Coverings with Convex Polygons and Pseudo-Triangles
We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
MFCS
2004
Springer
14 years 2 days ago
Online Algorithms for Disk Graphs
We study the on-line versions of two fundamental graph problems, maximum independent set and minimum coloring, for the case of disk graphs which are graphs resulting from intersect...
Ioannis Caragiannis, Aleksei V. Fishkin, Christos ...
JGAA
2007
142views more  JGAA 2007»
13 years 6 months ago
Approximation Algorithms for the Maximum Induced Planar and Outerplanar Subgraph Problems
The task of finding the largest subset of vertices of a graph that induces a planar subgraph is known as the Maximum Induced Planar Subgraph problem (MIPS). In this paper, some n...
Kerri Morgan, Graham Farr