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For all practical purposes, the Micali-Vazirani general graph maximum matching algorithm is still the most efficient known algorithm for the problem.
On combinatorial properties of matrices
J. Egerváry · 1931
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Graphs and matrices
D. Konig · 1931
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The Hungarian method for the assignment problem
H.W. Kuhn · 1955
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College admissions and the stability of marriage
D. Gale and L. S. Shapley · 1962
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Maximum matching and a polyhedron with 0,1-vertices
J. Edmonds · 1965
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Paths, trees, and flowers
J. Edmonds · 1965
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An exact estimate of an algorithm for fnding a maximum flow, applied to the problem on representatives
A. V. Karzanov · 1971
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An n 5 / 2 n^{5/2} algorithm for maximum matching in bipartite graphs
J. Hopcroft and R. M. Karp · 1973
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Efficiency of a good but not linear set union algorithm
R. E Tarjan · 1975
Cited alongside, same era.
The complexity of computing the permanent
L.G. Valiant · 1979
Cited alongside, same era.
An O ( V E ) {O}(\sqrt{V}{E}) algorithm for finding maximum matching in general graphs
S. Micali and V. V. Vazirani · 1980
Cited alongside, same era.
A linear-time algorithm for a special case of disjoint set union
H. N. Gabow and R. E Tarjan · 1985
Cited alongside, same era.
Random generation of combinatorial structures from a uniform distribution
M.R. Jerrum, L.G. Valiant, and V.V. Vazirani · 1986
Cited alongside, same era.
Matching Theory
L. Lovász and M.D. Plummer · 1986
Cited alongside, same era.
A new approach to maximum matchings in general graphs
N. Blum · 1990
Later among the works it cites.
Faster scaling algorithms for general graph matching problems
H. N. Gabow and R. E Tarjan · 1991
Later among the works it cites.
V. V. Vazirani · 1994
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Maximum skew-symmetric flows and matchings
A. V. Goldberg and A. V. Karzanov · 2004
Later among the works it cites.
Maximum matchings via gaussian elimination
M. Mucha and P. Sankowski · 2004
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Set-merging for the MV matching algorithm
H. N. Gabow · 2013
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Matching is as easy as matrix inversion
K. Mulmuley, U.V. Vazirani, and V.V. Vazirani · 1987
Cited alongside, same era.
Approximating the permanent
M.R. Jerrum and A. Sinclair · 1989
Cited alongside, same era.
In prepartion, 2013
S. Pettie and V. V. Vazirani · 2013
Closest in time.