1 research outputs found
All Subgraphs of a Wheel are 5-Coupled-Choosable
A wheel graph consists of a cycle along with a center vertex connected to
every vertex in the cycle. In this paper we show that every subgraph of a wheel
graph has list coupled chromatic number at most 5, and this coloring can be
found in linear time. We further show that `5' is tight for every wheel graph
with at least 5 vertices, and briefly discuss possible generalizations to
planar graphs of treewidth 3.Comment: 13 pages, 7 figure