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Algorithmica
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The Complexity of König Subgraph Problems and Above-Guarantee Vertex Cover

The complexity of König subgraph problems and above-guarantee vertex cover
Authors: Sounaka Mishra; Venkatesh Raman 0001; Saket Saurabh 0001; Somnath Sikdar; C. R. Subramanian 0001;

The Complexity of König Subgraph Problems and Above-Guarantee Vertex Cover

Abstract

A graph is called König-Egerváry if the size of a minimum vertex cover equals that of a maximum matching in the graph. These graphs have been extensively studied from a graph-theoretic point of view. The authors introduce and study the algorithmic complexity of finding König-Egerváry subgraphs of a given graph. They show that different problems in this context are NP-complete.

Keywords

unique game conjecture, Analysis of algorithms and problem complexity, vertex cover, König vertex/edge deletion sets, maximum matching, Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), König graphs, Graph algorithms (graph-theoretic aspects), above guarantee vertex cover, approximation algorithms, parameterized complexity

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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!
24
Average
Top 10%
Top 10%
bronze