Uniquely 2-list colorable graphs

نویسندگان

  • Yashar Ganjali
  • Mohammad Ghebleh
  • Hossein Hajiabolhassan
  • M. Mirzazadeh
  • Sayyed Bashir Sadjad
چکیده

A graph is called to be uniquely list colorable, if it admits a list assignment which induces a unique list coloring. We study uniquely list colorable graphs with a restriction on the number of colors used. In this way we generalize a theorem which characterizes uniquely 2–list colorable graphs. We introduce the uniquely list chromatic number of a graph and make a conjecture about it which is a generalization of the well known Brooks’ theorem.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 119  شماره 

صفحات  -

تاریخ انتشار 2002