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25th Annual Symposium on Foundations of Computer Science (FOCS 1984)
Singer Island, FL
October 24-October 26
ISBN: 0-8186-0591-X
M. Stallmann, North Carolina State University
The matroid parity problem is a generalization of matroid intersection and general graph matching (and hence network flow, degree-constrained subgraphs, etc.). A polynomial algorithm for linear matroids was presented by Lovasz. This paper presents an algorithm that uses time 0(mn/sup 3/), where m is the number of elements and n is the rank; for the spanning tree parity problem the time 0(mn/sup 2/). The algorithm is based on the method of augmenting paths used in the algorithms for all subcases of the problem.
Citation:
M. Stallmann, H.N. Gabow, "An Augmenting Path Algorithm For The Parity Problem On Linear Matroids," focs, pp.217-228, 25th Annual Symposium on Foundations of Computer Science (FOCS 1984), 1984
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