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arxiv: 1304.6263 · v1 · pith:33MFAJRXnew · submitted 2013-04-23 · 🧮 math.CO · cs.DM

On total colorings of 1-planar graphs

classification 🧮 math.CO cs.DM
keywords planaredgegraphscoloringsconfirmconjecturecrosseddegree
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A graph is 1-planar if it can be drawn on the plane so that each edge is crossed by at most one other edge. In this paper, we confirm the total-coloring conjecture for 1-planar graphs with maximum degree at least 13.

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