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» Vertex Cover in Graphs with Locally Few Colors
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ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
ADHOCNOW
2008
Springer
13 years 11 months ago
Local Maximal Matching and Local 2-Approximation for Vertex Cover in UDGs
We present 1 − approximation algorithms for the maximum matching problem in location aware unit disc graphs and in growth-bounded graphs. The algorithm for unit disk graph is loc...
Andreas Wiese, Evangelos Kranakis
DCOSS
2008
Springer
13 years 6 months ago
Local PTAS for Independent Set and Vertex Cover in Location Aware Unit Disk Graphs
We present the first local approximation schemes for maximum independent set and minimum vertex cover in unit disk graphs. In the graph model we assume that each node knows its geo...
Andreas Wiese, Evangelos Kranakis
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 4 months ago
A simple local 3-approximation algorithm for vertex cover
We present a local algorithm (constant-time distributed algorithm) for finding a 3-approximate vertex cover in bounded-degree graphs. The algorithm is deterministic, and no auxili...
Valentin Polishchuk, Jukka Suomela
WDAG
2009
Springer
195views Algorithms» more  WDAG 2009»
13 years 11 months ago
A Local 2-Approximation Algorithm for the Vertex Cover Problem
We present a distributed 2-approximation algorithm for the minimum vertex cover problem. The algorithm is deterministic, and it runs in (∆ + 1)2 synchronous communication rounds,...
Matti Åstrand, Patrik Floréen, Valent...