Pfaffian orientations, 0-1 permanents, and even cycles in directed graphs
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Publication:911300
DOI10.1016/0166-218X(89)90053-XzbMath0696.68076OpenAlexW1966874927MaRDI QIDQ911300
Vijay V. Vazirani, Mihalis Yannakakis
Publication date: 1989
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-218x(89)90053-x
Analysis of algorithms and problem complexity (68Q25) Determinants, permanents, traces, other special matrix functions (15A15) Graph theory (including graph drawing) in computer science (68R10) Paths and cycles (05C38) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70)
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Cites Work
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- The complexity of computing the permanent
- On the relation between the determinant and the permanent
- Signsolvability revisited
- Sign-nonsingular matrices and even cycles in directed graphs
- Even cycles in directed graphs
- Characterization of even directed graphs
- Matching theory
- NP is as easy as detecting unique solutions
- Matching is as easy as matrix inversion
- Constructing a perfect matching is in random NC
- Matching structure and the matching lattice
- NC algorithms for computing the number of perfect matchings in \(K_{3,3}\)-free graphs and related problems
- Every 7-regular digraph contains an even cycle
- On digraphs with the odd cycle property