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» Quickly deciding minor-closed parameters in general graphs
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EJC
2007
14 years 11 months ago
Quickly deciding minor-closed parameters in general graphs
We construct algorithms for deciding essentially any minor-closed parameter, with explicit time bounds. This result strengthens previous results by Robertson and Seymour [1,2], Fr...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
ESA
2010
Springer
172views Algorithms» more  ESA 2010»
15 years 19 days ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
SWAT
2010
Springer
250views Algorithms» more  SWAT 2010»
15 years 4 months ago
Fixed-Parameter Algorithms for Cochromatic Number and Disjoint Rectangle Stabbing
Given a permutation π of {1, . . . , n} and a positive integer k, we give an algorithm with running time 2O(k2 log k) nO(1) that decides whether π can be partitioned into at mos...
Pinar Heggernes, Dieter Kratsch, Daniel Lokshtanov...
ISAAC
2010
Springer
277views Algorithms» more  ISAAC 2010»
14 years 9 months ago
Induced Subgraph Isomorphism on Interval and Proper Interval Graphs
The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a c...
Pinar Heggernes, Daniel Meister, Yngve Villanger
TCS
2010
14 years 10 months ago
Clustering with partial information
The Correlation Clustering problem, also known as the Cluster Editing problem, seeks to edit a given graph by adding and deleting edges to obtain a collection of disconnected cliq...
Hans L. Bodlaender, Michael R. Fellows, Pinar Hegg...