On computing the number of Latin rectangles
From MaRDI portal
Publication:293658
DOI10.1007/s00373-015-1643-1zbMath1338.05026OpenAlexW2174497060WikidataQ59464663 ScholiaQ59464663MaRDI QIDQ293658
Xiaoguang Liu, Gang Wang, Rebecca J. Stones, Sheng Lin
Publication date: 9 June 2016
Published in: Graphs and Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00373-015-1643-1
Permutations, words, matrices (05A05) Orthogonal arrays, Latin squares, Room squares (05B15) Sequences (mod (m)) (11B50)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Divisors of the number of Latin rectangles
- Compound orthomorphisms of the cyclic group
- The many formulae for the number of Latin rectangles
- On the number of Latin rectangles and chromatic polynomial of L(K//(r,s))
- Sister Celine's technique and its generalizations
- A generalization of Riordan's formula for 3xn latin rectangles
- A formula for the number of Latin squares
- A note on the asymptotic number of Latin rectangles
- On the number of even and odd Latin squares of order \(p+1\)
- Proof of the Alon-Tarsi conjecture for \(n=2^rp\)
- A congruence connecting Latin rectangles and partial orthomorphisms
- Bounds on the number of autotopisms and subsquares of a Latin square
- On the number of Latin squares
- Hownotto prove the Alon-Tarsi conjecture
- Formulae for the Alon–Tarsi Conjecture
- Cycle structure of autotopisms of quasigroups and latin squares
- ON THE NUMBER OF LATIN RECTANGLES
- Counting 3 by n Latin Rectangles
- How Many Latin Squares are There?
- Counting Latin rectangles
- Cycle structures of autotopisms of the Latin squares of order up to 11
- The Conjectures of Alon–Tarsi and Rota in Dimension Prime Minus One
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- A Recurrence Relation for Three-Line Latin Rectangles
- Congruences Connected with Three-Line Latin Rectangles
- Three-Line Latin Rectangles
- The Asymptotic Number of Latin Rectangles
- Asymptotic enumeration of Latin rectangles