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Circular Chromatic Numbers, Signability, Relation Algebras, and Network Satisfaction Problems

Bodirsky, Manuel et al.
arXiv (All) · Papers
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05c1505c2205c6305c75combinatoricsdiscrete-mathematicsrings-and-algebras
In this paper, we characterize finite graphs with circular chromatic number less than 3 in terms of the existence of certain signings ($\mathbb Z_2$-labellings studied in the context of signed graphs). In fact, we construct a signed graph which is universal for all such signings -- called anti-trian
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