Graph matchings
Problems on graph matchings, including maximum matching in bipartite graphs, assigning workers to jobs, placing rooks and dominoes, minimum vertex cover, the assignment problem with costs, and stable marriages.
Kuhn's algorithm builds on depth-first search. Related problem sets are under Graph network flows and Graphs.
Problems
Couples Contest#5384
Medium
Broken Switch#6360
Medium
Attacking rooks#6581
Very easy
Three Colors#6676
Very hard
Tile Cut#6984
Very easy
Chess#7064
Very hard
Bounty Hunter II#7707
Very easy
Maximal Flows Dimension#8484
Very hard
Theorist#9012
Hard
Bipartite Blanket#9724
Very hard
Party with Enemies#10994
Medium
Help Prapor#11125
Medium
Dominoes#11323
Easy