International Workshop on Combinatorial Algorithms

Combinatorial Algorithms pp 100-111 | Cite as

Filling the Complexity Gaps for Colouring Planar and Bounded Degree Graphs

  • Konrad K. Dabrowski
  • François Dross
  • Matthew Johnson
  • Daniël Paulusma
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9538)

Abstract

We consider a natural restriction of the List Colouring problem, k-Regular List Colouring, which corresponds to the List Colouring problem where every list has size exactly k. We give a complete classification of the complexity of k-Regular List Colouring restricted to planar graphs, planar bipartite graphs, planar triangle-free graphs and to planar graphs with no 4-cycles and no 5-cycles. We also give a complete classification of the complexity of this problem and a number of related colouring problems for graphs with bounded maximum degree.

Keywords

List colouring Choosability Planar graphs Maximum degree 

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Konrad K. Dabrowski
    • 1
  • François Dross
    • 2
    • 3
  • Matthew Johnson
    • 1
  • Daniël Paulusma
    • 1
  1. 1.School of Engineering and Computing SciencesDurham UniversityDurhamUK
  2. 2.Ecole Normale Supérieure de LyonLyonFrance
  3. 3.Laboratoire d’Informatique, de Robotique et de Microélectronique de MontpellierMontpellierFrance

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