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The Cartographer
The Densest k Subgraph Problem in b-Outerplanar Graphs
July 08, 2019 Β· Declared Dead Β· π International Workshop on Complex Networks & Their Applications
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Authors
Sean Gonzales, Theresa Migler
arXiv ID
1907.03863
Category
cs.DS: Data Structures & Algorithms
Citations
3
Venue
International Workshop on Complex Networks & Their Applications
Last Checked
4 months ago
Abstract
We give an exact $O(nk^2)$ algorithm for finding the densest k subgraph in outerplanar graphs. We extend this to an exact $O(nk^2 8^b)$ algorithm for finding the densest k subgraph in b-outerplanar graphs. Finally, we hypothesize that Baker's PTAS technique will not work for the densest k subgraph problem in planar graphs.
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