- Type Parameters:
V
- vertex type
- All Known Implementing Classes:
BarYehudaEvenTwoApproxVCImpl
,ClarksonTwoApproxVCImpl
,EdgeBasedTwoApproxVCImpl
,GreedyVCImpl
,RecursiveExactVCImpl
public interface VertexCoverAlgorithm<V>
Computes a (weighted) vertex cover in
an undirected graph. A vertex cover of a graph is a set of vertices such that each edge of the
graph is incident to at least one vertex in the set. A minimum vertex cover is a vertex cover
having the smallest possible number of vertices for a given graph. The size of a minimum vertex
cover of a graph $G$ is known as the vertex cover number. A vertex cover of minimum weight is a
vertex cover where the sum of weights assigned to the individual vertices in the cover has been
minimized. The minimum vertex cover problem is a special case of the minimum weighted vertex
cover problem where all vertices have equal weight. Consequently, any algorithm designed for the
weighted version of the problem can also solve instances of the unweighted version.
- Author:
- Joris Kinable
-
Nested Class Summary
Modifier and TypeInterfaceDescriptionstatic interface
static class
Default implementation of a (weighted) vertex cover -
Method Summary
Modifier and TypeMethodDescriptionComputes a vertex cover.
-
Method Details
-
getVertexCover
VertexCoverAlgorithm.VertexCover<V> getVertexCover()Computes a vertex cover.- Returns:
- a vertex cover
-