Transversal (combinatorics): Difference between revisions

Content deleted Content added
FrescoBot (talk | contribs)
FrescoBot (talk | contribs)
Line 17:
 
== Relation to matching and covering ==
One can construct a [[bipartite graph]] in which the vertices on one side are the sets, the vertices on the other side are the elements, and the edges connect a set to the elements it contains. Then, a transversal is equivalent to a [[Perfect matching|'''[[perfect matching]]''']] in this graph.
 
One can construct a [[hypergraph]] in which the vertices are the elements, and the hyperedges are the sets. Then, a transversal is equivalent to a [[Vertex cover in hypergraphs|'''vertex cover''' in a hypergraph]].