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The Computer Journal Advance Access originally published online on January 31, 2007
The Computer Journal 2007 50(3):348-356; doi:10.1093/comjnl/bxl082
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© The Author 2007. Published by Oxford University Press on behalf of The British Computer Society. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org

MAX-DENSITY Revisited: a Generalization and a More Efficient Algorithm

George F. Georgakopoulos1,* and Kostas Politopoulos2

1 Computer Science Department, University of Crete, Knossou Avenue, Heraklion, Greece
2 Department of Electrical and Computer Engineering, National Technical University of Athens, Greece

* Corresponding author: ggeo{at}csd.uoc.gr

Received 14 December 2005; revised 22 November 2006

We present an algorithm that given a graph computes a subgraph of maximum ‘density’. (For unweighed graphs, density is the edges-to-vertices ratio). The proposed algorithm is asymptotically more efficient than the currently available ones. Our approach remains efficient for weighed graphs and more generally for weighed set-systems. Two faster approximation algorithms are offered, and a number of applications are discussed.

Key Words: Graphs • maximum density subgraphs • primal–dual technique


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