Independent set (graph theory)

Known as: Vertex independent set, Vertex packing, Coclique 
In graph theory, an independent set or stable set is a set of vertices in a graph, no two of which are adjacent. That is, it is a set S of vertices… (More)
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Papers overview

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Review
2017
Review
2017
Each year, the treatment decisions for more than 230, 000 breast cancer patients in the U.S. hinge on whether the cancer has… (More)
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Review
2016
Review
2016
Next-generation sequencing (NGS) is a rapidly evolving set of technologies that can be used to determine the sequence of an… (More)
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Highly Cited
2005
Highly Cited
2005
The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance… (More)
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Highly Cited
2000
Highly Cited
2000
Random independent sets in graphs arise, for example, in statistical physics, in the hard-core model of a gas. In 1997, Luby and… (More)
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Highly Cited
1988
Highly Cited
1988
Generating all configurations that satisfy a given specification (e.g., all permutations of n objects that do not fix any object… (More)
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Highly Cited
1986
Highly Cited
1986
An algorithm is presented which finds (the size of) a maximum independent set of an n vertex graph in time O(2°.276”) ’ p lm… (More)
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Highly Cited
1985
Highly Cited
1985
Simple parallel algorithms for the maximal independent set (MIS) problem are presented. The first algorithm is a Monte Carlo… (More)
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Highly Cited
1985
Highly Cited
1985
A simple parallel randomized algorithm to find a maximal independent set in a graph G = (V, E) on n vertices is presented. Its… (More)
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Highly Cited
1980
Highly Cited
1980
A graph is claw-free if: whenever three (distinct) vertices are joined to a single vertex, those three vertices are a… (More)
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Highly Cited
1978
Highly Cited
1978
Let N be a finite set and z be a real-valued function defined on the set of subsets of N that satisfies z(S)+z(T)>-z(SUT)+z(SnT… (More)
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