Colour patterns for polychromatic four-colourings of rectangular subdivisions

Autor: Haverkort, H.J., Löffler, M., Mumford, E., O'Meara, M., Snoeyink, J., Speckmann, B.
Přispěvatelé: Algorithms, Geometry and Applications, Algorithms
Jazyk: angličtina
Rok vydání: 2008
Zdroj: ISSUE=24;STARTPAGE=75;ENDPAGE=78;TITLE=24th European Workshop on Computational Geometry (EuroCG 2008)
Popis: A non-degenerate rectangular subdivision is a subdivision of a rectangle into a set of non-overlapping rectangles S, such that no four rectangles meet in a point. We consider a problem that Katz and colleagues call strong polychromatic four-colouring: Colouring the vertices of the subdivision with four colours, such thateach rectangle of S has all colours among its four corners. By considering the possible colouring patterns, we can give short constructive proofs of colourabilityfor subdivisions that are sliceable or one-sided. We also present techniques and observations for nonsliceable, two-sided subdivisions.
Databáze: OpenAIRE