Hungarian algorithm: Difference between revisions

Content deleted Content added
The algorithm in terms of bipartite graphs: Prove that the algorithm always makes progress when the matching is not yet of maximum possible size.
Fjf2002 (talk | contribs)
m Grammar corrected
Line 71:
 
===Proof that the algorithm makes progress===
We must show that as long as the matching is not of maximum possible size, the algorithm is always be able to make progress — that is, to either increase the number of matched edges, or tighten at least one edge. It suffices to show that at least one of the following holds at every step:
 
* <math>M</math> is of maximum possible size.