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arxiv: 1304.6266 · v1 · pith:HN4HSMAVnew · submitted 2013-04-23 · 🧮 math.CO · cs.DM

List total coloring of pseudo-outerplanar graphs

classification 🧮 math.CO cs.DM
keywords pseudo-outerplanarcircledeltagraphanotherblockschoosablecoloring
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A graph is pseudo-outerplanar if each of its blocks has an embedding in the plane so that the vertices lie on a fixed circle and the edges lie inside the disk of this circle with each of them crossing at most one another. It is proved that every pseudo-outerplanar graph with maximum degree \Delta\geq 5 is totally (\Delta+1)-choosable.

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