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149
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ICALP
2009
Springer
16 years 2 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...
129
Voted
ICTAI
2010
IEEE
15 years 11 days 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
15 years 7 months 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»
15 years 7 months 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»
15 years 8 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