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SPAA
2010
ACM
15 years 2 months ago
Fast distributed approximation algorithms for vertex cover and set cover in anonymous networks
We present a distributed algorithm that finds a maximal edge packing in O(∆ + log∗ W) synchronous communication rounds in a weighted graph, independent of the number of nodes...
Matti Åstrand, Jukka Suomela
CCCG
1997
14 years 11 months ago
Label placement by maximum independent set in rectangles
Motivated by the problem of labeling maps, we investigate the problem of computing a large non-intersecting subset in a set of n rectangles in the plane. Our results are as follow...
Pankaj K. Agarwal, Marc J. van Kreveld, Subhash Su...
DCOSS
2008
Springer
14 years 11 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
FSTTCS
2010
Springer
14 years 7 months ago
Finding Independent Sets in Unions of Perfect Graphs
ABSTRACT. The maximum independent set problem (MAXIS) on general graphs is known to be NPhard to approximate within a factor of n1-, for any > 0. However, there are many "...
Venkatesan T. Chakaravarthy, Vinayaka Pandit, Samb...
FOCS
2008
IEEE
15 years 4 months ago
Constant-Time Approximation Algorithms via Local Improvements
We present a technique for transforming classical approximation algorithms into constant-time algorithms that approximate the size of the optimal solution. Our technique is applic...
Huy N. Nguyen, Krzysztof Onak