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The chromatic number of the square of subcubic planar graphs

Published 21 Apr 2016 in math.CO | (1604.06504v1)

Abstract: Wegner conjectured in 1977 that the square of every planar graph with maximum degree at most $3$ is $7$-colorable. We prove this conjecture using the discharging method and computational techniques to verify reducible configurations.

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