## Class DulmageMendelsohnDecomposition.Decomposition<V,​E>

• java.lang.Object
• org.jgrapht.alg.decomposition.DulmageMendelsohnDecomposition.Decomposition<V,​E>
• Type Parameters:
V - vertex type
E - edge type
Enclosing class:
DulmageMendelsohnDecomposition<V,​E>

public static class DulmageMendelsohnDecomposition.Decomposition<V,​E>
extends java.lang.Object
The output of a decomposition operation
• ### Method Summary

All Methods
Modifier and Type Method Description
java.util.Set<V> getPartition1DominatedSet()
Gets the subset dominated by partition1.
java.util.Set<V> getPartition2DominatedSet()
Gets the subset dominated by partition2.
java.util.List<java.util.Set<V>> getPerfectMatchedSets()
Gets the remaining subset, or subsets in the fine decomposition.
• ### Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait
• ### Method Detail

• #### getPartition1DominatedSet

public java.util.Set<V> getPartition1DominatedSet()
Gets the subset dominated by partition1. Where $D$ is the set of vertices in $G$ that are not matched in the maximum matching of $G$, this set contains members of the first partition and vertices from the second partition that neighbour them.
Returns:
The vertices in $D \cap V_1$ and their neighbours
• #### getPartition2DominatedSet

public java.util.Set<V> getPartition2DominatedSet()
Gets the subset dominated by partition2. Where $D$ is the set of vertices in $G$ that are not matched in the maximum matching of $G$, this set contains members of the second partition and vertices from the first partition that neighbour them.
Returns:
The vertices in $D \cap V_2$ and their neighbours
• #### getPerfectMatchedSets

public java.util.List<java.util.Set<V>> getPerfectMatchedSets()
Gets the remaining subset, or subsets in the fine decomposition. This set contains vertices that are matched in the maximum matching of the graph $G$. If the fine decomposition was used, this will be multiple sets, each a strongly-connected-component of the matched subset of $G$.
Returns:
List of Sets of vertices in the subsets