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Circular coloring and fractional coloring in planar graphs

Circular coloring and fractional coloring in planar graphs

Abstract We study the following Steinberg‐type problem on circular coloring: for an odd integer , what is the smallest number such that every planar graph of girth without cycles of length from to admits a homomorphism to the odd cycle (or equivalently, is circular ‐colorable). Known results and counterexamples on …