Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results
From MaRDI portal
Publication:5858496
DOI10.14712/1213-7243.2021.003OpenAlexW3090907410MaRDI QIDQ5858496
Diane M. Donovan, Emine Şule Yazıcı, Michael John Grannell
Publication date: 13 April 2021
Published in: Commentationes Mathematicae Universitatis Carolinae (Search for Journal in Brave)
Full work available at URL: http://oro.open.ac.uk/72214/1/EmbedSurvey-22July2020.pdf
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some constructions for \(t\) pairwise orthogonal diagonal Latin squares based on difference matrices
- Orthogonal Latin squares with subsquares
- The complexity of completing partial Latin squares
- Existence of orthogonal Latin squares with aligned subsquares
- Embedding partial Mendelsohn triple systems
- Orthogonal latin squares with orthogonal subsquares
- Sub-Latin squares and incomplete orthogonal arrays
- A partial Steiner triple system of order n can be embedded in a Steiner triple system of order 6n + 3
- Near vector spaces over GF(q) and (v,q + 1,1) BIBDs
- Completing the spectrum of \(r\)-orthogonal Latin squares
- Small partial Latin squares that embed in an infinite group but not into any finite group
- Embedding partial Latin squares in Latin squares with many mutually orthogonal mates
- On embedding incomplete symmetric Latin squares
- Clique decompositions of multipartite graphs and completion of Latin squares
- A polynomial embedding of pairs of orthogonal partial Latin squares
- The completion of finite incomplete Steiner triple systems with applications to loop theory
- Endliche Vervollständigung endlicher partieller Steinerscher Systeme. (Finite completion of finite partial Steiner systems)
- Finite embedding theorems for partial Latin squares, quasi-groups, and loops
- Embedding partial totally symmetric quasigroups.
- Thank Evans!
- On Smetaniuk's Construction for Latin Squares and the Andersen-Hilton Theorem
- Embedding Incomplete Latin Squares
- Coloured and Directed Designs
- A proof of Lindner's conjecture on embeddings of partial Steiner triple systems
- Small Embeddings for Partial Semisymmetric and Totally Symmetric Quasigroups
- Embedding Orthogonal Partial Latin Squares
- Small Partial Latin Squares that Cannot be Embedded in a Cayley Table
- A Solution to the Embedding Problem for Partial Idempotent Latin Squares
- Undecidability of representability as binary relations
- The finite embeddability property for IP loops and local embeddability of groups into finite IP loops
- Embedding a latin square in a pair of orthogonal latin squares
- Partial graph design embeddings and related problems
- On Completing Latin Rectangles
- A Combinatorial Theorem with an Application to Latin Rectangles
- Systems of Distinct Representatives
- The Construction of Orthogonal Latin Squares
- An existence theorem for latin squares
- Orthomorphism graphs of groups
This page was built for publication: Constructing and embedding mutually orthogonal Latin squares: reviewing both new and existing results