Two-line graphs of partial Latin rectangles

DOI10.1016/j.endm.2018.06.010zbMath1397.05027OpenAlexW2883063504WikidataQ129520495 ScholiaQ129520495MaRDI QIDQ1792060

Rebecca J. Stones, Dani Kotlar, Trent G. Marbach, Raúl M. Falcón, Eiran Danan

Publication date: 11 October 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2018.06.010

zbMATH Keywords

autotopism grouppartial Latin rectangleadequate partitionentry invariant

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15) Coloring of graphs and hypergraphs (05C15) Graph operations (line graphs, products, etc.) (05C76)

Related Items (5)

Enumerating partial Latin rectangles ⋮ Two-line graphs of partial Latin rectangles ⋮ A computational algebraic geometry approach to analyze pseudo-random sequences based on Latin squares ⋮ Using a CAS/DGS to analyze computationally the configuration of planar bar linkage mechanisms based on partial Latin squares ⋮ A historical perspective of the theory of isotopisms

Uses Software

• pls.lib

Cites Work

• Unnamed Item
• Classifying partial Latin rectangles
• The set of autotopisms of partial Latin squares
• Computing the autotopy group of a Latin square by cycle structure
• Two-line graphs of partial Latin rectangles
• Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups
• Symmetries of partial Latin squares
• Small latin squares, quasigroups, and loops
• Graph isomorphism in quasipolynomial time [extended abstract]

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