Circular coloring triangle-free subcubic planar graphs ★★

Author(s): Ghebleh; Zhu

Problem   Does every triangle-free planar graph of maximum degree three have circular chromatic number at most $ \frac{20}{7} $?

Keywords: circular coloring; planar graph; triangle free

Decomposing the truncated octahedron into parallelepipeds

Author(s):

Question   Can the truncated octahedron be decomposed into parallelepipeds?

Keywords: decomposition; lattice; parallelepiped

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