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https://doi.org/10.1137/1.9781...
Article . 2013 . Peer-reviewed
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Interval Deletion Is Fixed-Parameter Tractable

Authors: Yixin Cao 0001; Dániel Marx;

Interval Deletion Is Fixed-Parameter Tractable

Abstract

We study the minimum interval deletion problem, which asks for the removal of a set of at most k vertices to make a graph of n vertices into an interval graph. We present a parameterized algorithm of runtime 10 k ⋅ n O (1) for this problem—that is, we show that the problem is fixed-parameter tractable.

Country
Hungary
Keywords

FOS: Computer and information sciences, QA75 Electronic computers. Computer science / számítástechnika, Discrete Mathematics (cs.DM), számítógéptudomány, G.2.2, G.2.2; F.2.2, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), QA74 Analysis / analízis, F.2.2, Computer Science - Discrete Mathematics

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    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
35
Top 10%
Top 10%
Top 10%
Green
bronze