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arXiv 2010-07-08 0 views

Sub-exponentially many 3-colorings of triangle-free planar graphs

Asadi, Arash · Dvorak, Zdenek · Postle, Luke · Thomas, Robin

Original · EN

Thomassen conjectured that every triangle-free planar graph on n vertices has exponentially many 3-colorings, and proved that it has at least 2[n(1/12)/20000] distinct 3-colorings. We show that it has at least 2ˢqrt(n/362) distinct 3-colorings.

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