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munkres_sparse's Introduction

Implementation of the sparse kuhn-munkres algorithm.
For a general description of the full munkres algorithm, see
http://csclab.murraystate.edu/bob.pilgrim/445/munkres.html
This implementation assumes a non-complete graph and stores
the elements in a sparse matrix, following the ideas outlined
in (reference to the Sailor Assignment Problem paper)

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munkres_sparse's Issues

This algorithm implementation contains bugs

for inputs such as :

`

from munkres_sparse import munkres

def main():
    values = [
        (1, 1, 3),
        (1, 3, 4),
        (2, 1, 2),
        (2, 2, 1),
        (2, 3, 3),
        (3, 2, 4),
        (3, 3, 5)
    ]

    match_res = munkres(values)

    values_dict = dict(((i, j), v) for i, j, v in values)
    weight_res = sum(values_dict[p] for p in match_res)
    print len(match_res)
    print match_res
    print weight_res
    print('complete')
    pass

if __name__=='__main__':
    main()

`

The output is :

3
[(1, 1), (2, 2), (3, 3)]
9
complete

However, the correct output should be

3
[(1, 1), (2, 3), (3, 2)]
10

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