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Isolation, matching, and counting
Conference proceeding

Isolation, matching, and counting

E Allender and K Reinhardt
Proceedings. Thirteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat. No.98CB36247), pp.92-100
1998

Abstract

Computer science Upper bound Polynomials
We show that the perfect matching problem is in the complexity class SPL (in the nonuniform setting). This provides a better upper bound on the complexity of the matching problem, as well as providing motivation for studying the complexity class SPL. Using similar techniques, we show that the complexity class LogFew coincides with NL in the nonuniform setting. Finally, we provide evidence that our results also hold in the uniform setting.

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