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ICALP
2009
Springer
14 years 7 months ago
Approximation Algorithms via Structural Results for Apex-Minor-Free Graphs
We develop new structural results for apex-minor-free graphs and show their power by developing two new approximation algorithms. The first is an additive approximation for colorin...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Ken-ich...
ICTAI
2010
IEEE
13 years 5 months ago
An Effective Multilevel Memetic Algorithm for Balanced Graph Partitioning
The balanced graph partitioning consists in dividing the vertices of an undirected graph into a given number of subsets of approximately equal size, such that the number of edges c...
Una Benlic, Jin-Kao Hao
WG
2004
Springer
14 years 27 days ago
A Robust PTAS for Maximum Weight Independent Sets in Unit Disk Graphs
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
Tim Nieberg, Johann Hurink, Walter Kern
SWAT
2010
Springer
302views Algorithms» more  SWAT 2010»
14 years 18 days ago
A Weakly Robust PTAS for Minimum Clique Partition in Unit Disk Graphs
We consider the problem of partitioning the set of vertices of a given unit disk graph (UDG) into a minimum number of cliques. The problem is NP-hard and various constant factor a...
Imran A. Pirwani, Mohammad R. Salavatipour
AAIM
2007
Springer
145views Algorithms» more  AAIM 2007»
14 years 1 months ago
Improved Approximation Algorithms for Predicting RNA Secondary Structures with Arbitrary Pseudoknots
We study three closely related problems motivated by the prediction of RNA secondary structures with arbitrary pseudoknots: the MAXIMUM BASE PAIR STACKINGS problem proposed by Ieon...
Minghui Jiang