Constant factor approximation algorithms for the densest k-subgraph problem on proper interval graphs and bipartite permutation graphs

The densest k-subgraph problem asks for a k-vertex subgraph with the maximum number of edges. This problem is NP-hard on bipartite graphs, chordal graphs, and planar graphs. A 3-approximation algorithm is known for chordal graphs. We present 3 2 -approximation algorithms for proper interval graphs a...

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Bibliographic Details
Published in:Information processing letters Vol. 110; no. 16; pp. 635 - 638
Main Authors: Backer, Jonathan, Keil, J. Mark
Format: Journal Article
Language:English
Published: Amsterdam Elsevier B.V 31.07.2010
Elsevier
Elsevier Sequoia S.A
Subjects:
Algorithmics. Computability. Computer arithmetics
Algorithms
Applied sciences
Approximation
Approximation algorithms
Bipartite permutation graph
Combinatorics
Computer science; control theory; systems
Densest subgraph
Exact sciences and technology
Graph algorithms
Graphs
Information retrieval. Graph
Intervals
Mathematical analysis
Miscellaneous
Permutations
Proper interval graph
Studies
Theoretical computing
Approximation algorithms
Densest subgraph
Bipartite permutation graph
Proper interval graph
Interval graph
Vertex
Computer theory
Planar graph
Permutation graph
Chordal graph
Approximation algorithm
Maximum
NP hard problem
Information processing
Subgraph
Bipartite graph
Algorithm analysis
Graph algorithm
ISSN:0020-0190, 1872-6119
Online Access:Get full text
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Summary:The densest k-subgraph problem asks for a k-vertex subgraph with the maximum number of edges. This problem is NP-hard on bipartite graphs, chordal graphs, and planar graphs. A 3-approximation algorithm is known for chordal graphs. We present 3 2 -approximation algorithms for proper interval graphs and bipartite permutation graphs. The latter result relies on a new characterisation of bipartite permutation graphs which may be of independent interest.
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ISSN:0020-0190
1872-6119
DOI:10.1016/j.ipl.2010.05.011