Parity of transversals of Latin squares
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Publication:1985367
DOI10.5802/alco.103zbMath1437.05033arXiv1912.11230OpenAlexW3099081656MaRDI QIDQ1985367
Publication date: 7 April 2020
Published in: Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1912.11230
bipartite graphLatin squaretransversalpermanentperfect matchingparityLatin rectanglepermanental minor
Determinants, permanents, traces, other special matrix functions (15A15) Orthogonal arrays, Latin squares, Room squares (05B15) Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.) (05C70) Transversal (matching) theory (05D15)
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Cites Work
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- Switching in one-factorisations of complete graphs
- Parity types, cycle structures and autotopisms of Latin squares
- On parity vectors of Latin squares
- Cycle switches in Latin squares
- The number of transversals in a Latin square
- On transversals in Latin squares
- Colorings and orientations of graphs
- On even and odd latin squares
- Parity of sets of mutually orthogonal Latin squares
- Square-root cancellation for the signs of Latin squares
- The odd case of Rota's bases conjecture
- Hownotto prove the Alon-Tarsi conjecture
- Circular designs balanced for neighbours at distances one and two
- Permanents of multidimensional matrices: Properties and applications
- THERE ARE ASYMPTOTICALLY THE SAME NUMBER OF LATIN SQUARES OF EACH PARITY
- Transversals and multicolored matchings
- Combinatorial Matrices with Small Determinants
- Transversals in Latin Arrays with Many Distinct Symbols
- Graphs for Orthogonal Arrays and Projective Planes of Even Order
- Decompositions into spanning rainbow structures
- On the number of symbols that forces a transversal
- Transversals in generalized Latin squares
- The Conjectures of Alon–Tarsi and Rota in Dimension Prime Minus One
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