International Workshop on Combinatorial Algorithms

IWOCA 2014: Combinatorial Algorithms pp 98-109 | Cite as

3-Coloring Triangle-Free Planar Graphs with a Precolored 9-Cycle

  • Ilkyoo Choi
  • Jan Ekstein
  • Přemysl Holub
  • Bernard LidickýEmail author
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8986)


Given a triangle-free planar graph G and a cycle C of length 9 in G, we characterize all situations where a 3-coloring of C does not extend to a proper 3-coloring of G. This extends previous results for the length of C up to 8.


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Ilkyoo Choi
    • 1
  • Jan Ekstein
    • 2
  • Přemysl Holub
    • 2
  • Bernard Lidický
    • 3
    Email author
  1. 1.Korea Advanced Institute of Science and TechnologyDaejeonSouth Korea
  2. 2.University of West BohemiaPilsenCzech Republic
  3. 3.Iowa State UniversityAmesUSA

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