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I'm looking for an implementation preferably in Java of an algorithm for finding a Minimum Equivalent Graph of a Digraph (http://portal.acm.org/citation.cfm?id=321526.321534).

Even better would be an implementation of "Approximating the minimum equivalent digraph" http://cat.inist.fr/?aModele=afficheN&cpsidt=3634076 (requires ACM membership, sorry) alternative link http://www.cs.umd.edu/~samir/grant/kry94b.ps (postscript)

+1  A: 

Have you tried taking a look at java graph algorithms libraries, like JGraphIT ?

Riduidel
Yes, found JGraphIT. But it doesn't have a solution for exactly this problem. It has some algorithms that could be helpful.
kohlerm