Polychromatic colorings of rectangular partitions

DOI10.1016/j.disc.2008.07.035zbMath1184.05025OpenAlexW2025961184MaRDI QIDQ1043659

Darko Dimitrov, Roi Krakovski, Elad Aigner-Horev

Publication date: 9 December 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.07.035

zbMATH Keywords

polychromatic coloringsrectangular partitions

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15)

Related Items

Facially-constrained colorings of plane graphs: a survey ⋮ Polychromatic 4-coloring of cubic bipartite plane graphs ⋮ Polychromatic colorings of plane graphs ⋮ Box-respecting colorings of \(n\)-dimensional guillotine-partitions ⋮ Polychromatic colorings of bounded degree plane graphs ⋮ Balanced polychromatic 2-coloring of triangulations ⋮ Polychromatic colorings of arbitrary rectangular partitions

Cites Work

• Polychromatic 4-coloring of cubic bipartite plane graphs
• Polychromatic colorings of arbitrary rectangular partitions
• The Grötzsch theorem for the hypergraph of maximal cliques
• Worst-case-optimal algorithms for guarding planar graphs and polyhedral surfaces
• Polychromatic Colorings of n-Dimensional Guillotine-Partitions
• Polychromatic colorings of bounded degree plane graphs
• On Multi-Colourings of Cubic Graphs, and Conjectures of Fulkerson and Tutte
• A Graph-Coloring Result and Its Consequences for Polygon-Guarding Problems
• Polychromatic colorings of plane graphs
• Unnamed Item