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The 4-choosability of plane graphs without 4-cycles. (English) Zbl 0931.05036
Summary: A graph \(G\) is called \(k\)-choosable if \(k\) is a number such that if we give lists of \(k\) colors to each vertex of \(G\) there is a vertex coloring of \(G\) where each vertex receives a color from its own list no matter what the lists are. In this paper, it is shown that each plane graph without 4-cycles is 4-choosable. \(\copyright\) Academic Press.

MSC:
05C15 Coloring of graphs and hypergraphs
05C10 Planar graphs; geometric and topological aspects of graph theory
05C38 Paths and cycles
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