Generalized list T-colorings of cycles

  • Authors:
  • Jiří Fiala;Riste Škrekovski

  • Affiliations:
  • Charles University, Faculty of Mathematics and Physics, DIMATIA, 118 00 Prague, Czech Republic and Institute for Theoretical Computer Science (ITI), Malostranské nám. 2/25, Prague, Czech ...;Charles University, Faculty of Mathematics and Physics, DIMATIA, 118 00 Prague, Czech Republic and Institute for Theoretical Computer Science (ITI), Malostranské nám. 2/25, Prague, Czech ...

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2005

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Abstract

In this paper, we show that the Alon-Tarsi theorem for choosability in graphs has an analogous version for the generalized list T-colorings-a concept which captures both the channel assignment problem and the T-colorings. We apply this result to cycles for generalized list labelings with a condition at distance two.