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Maximum independent sets in subcubic graphs: New results

Maximum independent sets in subcubic graphs: new results
Authors: Ararat Harutyunyan; Michael Lampis; Vadim V. Lozin; Jérôme Monnot;

Maximum independent sets in subcubic graphs: New results

Abstract

The maximum independent set problem is known to be NP-hard in the class of subcubic graphs, i.e. graphs of vertex degree at most 3. We present a polynomial-time solution in a subclass of subcubic graphs generalizing several previously known results.

Country
France
Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Analysis of algorithms and problem complexity, Polynomial algorithm, subcubic graph, polynomial algorithm, 003, 004, maximum independent set, Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.), Subcubic graph, Graph theory (including graph drawing) in computer science, Graph algorithms (graph-theoretic aspects), Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), Maximum independent set, QA, Recherche opérationnelle, Computer Science - Discrete Mathematics

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    2
    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.
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    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!
2
Average
Average
Average
Green
hybrid