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In online list coloring [introduced by Zhu (Electron J Comb 16(1):#R127, 2009) and Schauz (Electron J Comb 16:#R77, 2009)], on each round the set of vertices having a particular color in their lists is revealed, and the coloring algorithm chooses an independent subset of this set to receive that color. For a graph $$G$$ G and a function $$f:\,V(G)\rightarrow {\mathbb N}$$ f : V (...
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