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Mathprog

Solvers for the Cardinality and Weighted Matching Problem

The original site of the source codes available here is
ftp://dimacs.rutgers.edu/pub/netflow/matching/ of the Center for Discrete
Mathematics and Theoretical Computer Science (DIMACS)
: Rutgers University,
Princeton University, AT&T Bell Laboratories, Bellcore, see also D.S. Johnson /
C.C. McGeoch: Dimacs Implementation Challenge Workshop, Algorithms for
Network Flows and and Matching
, DIMACS Technical Report 92-4, or
http://dimacs.rutgers.edu/Challenges/, notably for information on the DIMACS
graph input format.




card-match.tar.Z
     C code for solving the cardinality matching problem based on Gabow's
     N-cubed non-weighted matching algorithm, see H.N. Gabow: An Efficient
     Implementation of Edmond's Algorithm for Maximum Matching on Graphs
,
     JACM, Vol. 23, 1976, implementation by E. Rothberg


     readme  -  General information on program by author


cardmp.f.Z
     FORTRAN Code for solving the cardinality matching problem based on the
     Micali-Vazirani algorithm, see S. Micali / V.V. Vazirani, An O((V * E) ½)
     Algorithm for Finding Maximum Matchings in General Graphs
, Proc. 21st
     Annual Symposium on Foundation of Computer Science, IEEE, 1980, for
     information on algorithm, implementation by R.B. Mattingly and N.P. RitcheY

     info  -  General information on program by authors


w-match.tar.Z
     C code for finding a maximum weight matching in an undirected graph based on
     Gabow's N-cubed weighted matching algorithm, see H. Gabow, Implementation
     of Algorithms for Maximum Matching on Nonbipartite Graphs, Ph.D. thesis,
     Stanford University, 1973

     readme  -  General information on program by author