The number of transversals in a Latin square
From MaRDI portal
Publication:851756
DOI10.1007/s10623-006-0012-8zbMath1200.05039OpenAlexW2010178857MaRDI QIDQ851756
Ian M. Wanless, Jeanette C. McLeod, Brendan D. McKay
Publication date: 22 November 2006
Published in: Designs, Codes and Cryptography (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1885/32140
Related Items (37)
On the maximum number of Latin transversals ⋮ Latin squares with restricted transversals ⋮ Equitable total chromatic number of \(K_{r \times p}\) for \(p\) even ⋮ Latin Squares with Restricted Transversals ⋮ Unnamed Item ⋮ Computer search for graceful labeling: a survey ⋮ On the number of transversals in \(n\)-ary quasigroups of order 4 ⋮ Determining equitable total chromatic number for infinite classes of complete \(r\)-partite graphs ⋮ A congruence connecting Latin rectangles and partial orthomorphisms ⋮ An asymptotic for the Hall-Paige conjecture ⋮ Covers and partial transversals of Latin squares ⋮ On the number of transversals in a class of Latin squares ⋮ Transversals in completely reducible multiary quasigroups and in multiary quasigroups of order 4 ⋮ Longest partial transversals in plexes ⋮ Протоколы дистанционного голосования. I;Remote voting protocols. I ⋮ Permanents of multidimensional matrices: Properties and applications ⋮ Coding for locality in reconstructing permutations ⋮ Monogamous latin squares ⋮ The Bruhat order on classes of isotopic Latin squares ⋮ Unnamed Item ⋮ Additive triples of bijections, or the toroidal semiqueens problem ⋮ Switching codes and designs ⋮ Rainbow Perfect Matchings in Complete Bipartite Graphs: Existence and Counting ⋮ Parity of transversals of Latin squares ⋮ Graceful labelling: state of the art, applications and future directions ⋮ A generalization of plexes of Latin squares ⋮ On the number of transversals in Cayley tables of cyclic groups ⋮ Existence results for cyclotomic orthomorphisms ⋮ The parity of the number of quasigroups ⋮ Indivisible partitions of Latin squares ⋮ Compound orthomorphisms of the cyclic group ⋮ Enumeration of MOLS of small order ⋮ A survey of known results and research areas for \(n\)-queens ⋮ Latin squares with no small odd plexes ⋮ Positiveness of the permanent of 4-dimensional polystochastic matrices of order 4 ⋮ Estimating the number of Latin rectangles by the fast simulation method ⋮ Multidimensional Permanents and an Upper Bound on the Number of Transversals in Latin Squares
Cites Work
- Unnamed Item
- On transversals in Latin squares
- Most Latin squares have many subsquares
- Upper bound on the number of complete maps
- Covering radius for sets of permutations
- Transversals and multicolored matchings
- Small latin squares, quasigroups, and loops
- The n-Queens Problem
- LATIN SQUARES AND THE HALL–PAIGE CONJECTURE
- Atomic Latin squares of order eleven
- A lower bound for the length of a partial transversal in a Latin square
This page was built for publication: The number of transversals in a Latin square
