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A planar signed graph with circular chromatic number five

Wang, Lujia et al.
arXiv (All) · Papers
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05c15combinatorics
A circular $r$-coloring of a signed graph maps its vertices to a circle of circumference $r\ge2$, with the endpoints of negative edges at circular distance at least $1$ and those of positive edges at most $r/2-1$; the circular chromatic number is the infimum of such $r$. We construct a simple planar
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