Generalized list T-colorings of cycles

  • Authors:
  • Jirí 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 Univ., Fac. of Math. and Phys. and Inst. for Theor. Comp. Sci. (ITI), Prague, Czech Rep. and Dept. of Math., Univ. of Ljubljana, Ljubljana, Slovenia and Pacific Inst. for Math. Sci. (PIMS) ...

  • 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.