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JCT
2007
117views more  JCT 2007»
15 years 1 months ago
Large independent sets in regular graphs of large girth
Let G be a d-regular graph with girth g, and let α be the independence number of G. We show that α(G) ≥ 1 2 1 − (d − 1)−2/(d−2) − (g) n where (g) → 0 as g → ∞,...
Joseph Lauer, Nicholas C. Wormald
AAIM
2007
Springer
116views Algorithms» more  AAIM 2007»
15 years 8 months ago
Solving Generalized Maximum Dispersion with Linear Programming
The Generalized Maximum Dispersion problem asks for a partition of a given graph into p vertex-disjoint sets, each of them having at most k vertices. The goal is to maximize the to...
Gerold Jäger, Anand Srivastav, Katja Wolf
ALGORITHMICA
1998
184views more  ALGORITHMICA 1998»
15 years 1 months ago
Approximation Algorithms for Connected Dominating Sets
The dominatingset problemin graphs asks for a minimumsize subset of vertices with the followingproperty: each vertex is required to either be in the dominating set, or adjacent to...
Sudipto Guha, Samir Khuller
ATAL
2007
Springer
15 years 8 months ago
Implementing the maximum of monotone algorithms
Running several sub-optimal algorithms and choosing the optimal one is a common procedure in computer science, most notably in the design of approximation algorithms. This paper d...
Liad Blumrosen
IPL
2008
95views more  IPL 2008»
15 years 1 months ago
Approximating maximum satisfiable subsystems of linear equations of bounded width
We consider the problem known as MAX-SATISFY: given a system of m linear equations over the rationals, find a maximum set of equations that can be satisfied. Let r be the width of...
Zeev Nutov, Daniel Reichman