Diagonally cyclic Latin squares.

DOI10.1016/j.ejc.2003.09.014zbMath1047.05007OpenAlexW1978384163MaRDI QIDQ1427437

Ian M. Wanless

Publication date: 14 March 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2003.09.014

zbMATH Keywords

Latin square

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (29)

Completing partial transversals of Cayley tables of Abelian groups ⋮ Cycle structure of autotopisms of quasigroups and latin squares ⋮ Subsquare-free Latin squares of odd order ⋮ Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups ⋮ The set of autotopisms of partial Latin squares ⋮ A congruence connecting Latin rectangles and partial orthomorphisms ⋮ Autoparatopisms of Quasigroups and Latin Squares ⋮ Computing the autotopy group of a Latin square by cycle structure ⋮ ON THE NUMBER OF QUADRATIC ORTHOMORPHISMS THAT PRODUCE MAXIMALLY NONASSOCIATIVE QUASIGROUPS ⋮ Row‐Hamiltonian Latin squares and Falconer varieties ⋮ Balanced equi-\(n\)-squares ⋮ Diagonally cyclic equitable rectangles ⋮ Degree of orthomorphism polynomials over finite fields ⋮ The existence of 5-sparse Steiner triple systems of order \(n \equiv 3 \mod 6\), \(n \notin \{9,15 \}\) ⋮ ON THE NUMBER OF LATIN RECTANGLES ⋮ On the number of transversals in Cayley tables of cyclic groups ⋮ New families of atomic Latin squares and perfect 1-factorisations. ⋮ The parity of the number of quasigroups ⋮ Indivisible partitions of Latin squares ⋮ Maximally nonassociative quasigroups via quadratic orthomorphisms ⋮ Permanents and Determinants of Latin Squares ⋮ Domination for Latin square graphs ⋮ Indivisible plexes in Latin squares ⋮ Proof of the list edge coloring conjecture for complete graphs of prime degree ⋮ The spectrum for quasigroups with cyclic automorphisms and additional symmetries. ⋮ Atomic Latin squares of order eleven ⋮ Near-automorphisms of Latin squares ⋮ The Order of Automorphisms of Quasigroups ⋮ Nonassociative triples in involutory loops and in loops of small order

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