Autoparatopism stabilized colouring games on rook's graphs

DOI10.1016/j.endm.2018.06.040zbMath1397.05115OpenAlexW2884099099MaRDI QIDQ1792106

Raúl M. Falcón, Helena Bergold, Stephan Dominique Andres

Publication date: 11 October 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2018.06.040

zbMATH Keywords

partial Latin squaregraph colouring gameautoparatopism

Mathematics Subject Classification ID

Games involving graphs (91A43) Orthogonal arrays, Latin squares, Room squares (05B15) Coloring of graphs and hypergraphs (05C15) Games on graphs (graph-theoretic aspects) (05C57)

Related Items (4)

Enumerating partial Latin rectangles ⋮ Autoparatopism stabilized colouring games on rook's graphs ⋮ Refining invariants for computing autotopism groups of partial Latin rectangles ⋮ A historical perspective of the theory of isotopisms

Uses Software

• pls.lib

Cites Work

• The set of autotopisms of partial Latin squares
• Computing the autotopy group of a Latin square by cycle structure
• Game-perfect graphs
• Autoparatopism stabilized colouring games on rook's graphs
• Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups
• The game chromatic index of forests of maximum degree \(\Delta \geqslant 5\)
• Symmetries of partial Latin squares
• Cycle structure of autotopisms of quasigroups and latin squares
• ON THE COMPLEXITY OF SOME COLORING GAMES
• Cycle structures of autotopisms of the Latin squares of order up to 11
• Autoparatopisms of Quasigroups and Latin Squares
• The Order of Automorphisms of Quasigroups

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