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» Packing Cliques in Graphs with Independence Number 2
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APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 7 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
COCO
2004
Springer
119views Algorithms» more  COCO 2004»
13 years 11 months ago
Tight Lower Bounds for Certain Parameterized NP-Hard Problems
Based on the framework of parameterized complexity theory, we derive tight lower bounds on the computational complexity for a number of well-known NP-hard problems. We start by pr...
Jianer Chen, Benny Chor, Mike Fellows, Xiuzhen Hua...
SODA
2004
ACM
121views Algorithms» more  SODA 2004»
13 years 9 months ago
A characterization of easily testable induced subgraphs
Let H be a fixed graph on h vertices. We say that a graph G is induced H-free if it does not contain any induced copy of H. Let G be a graph on n vertices and suppose that at leas...
Noga Alon, Asaf Shapira
COMBINATORICA
2004
79views more  COMBINATORICA 2004»
13 years 7 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
FOCS
2009
IEEE
14 years 2 months ago
Distance Oracles for Sparse Graphs
Abstract— Thorup and Zwick, in their seminal work, introduced the approximate distance oracle, which is a data structure that answers distance queries in a graph. For any integer...
Christian Sommer 0002, Elad Verbin, Wei Yu