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Lecture Notes in Computer Science
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.doi:10.1007/978-3-319-29516-9_9 fatcat:aufsai6bmzcefe4qezbd3wbjfa