The fractional chromatic number of triangle-free subcubic graphs

نویسندگان

David G. Ferguson

Tomás Kaiser

Daniel Král

چکیده

Heckman and Thomas conjectured that the fractional chromatic number of any triangle-free subcubic graph is at most 14/5. Improving on estimates of Hatami and Zhu and of Lu and Peng, we prove that the fractional chromatic number of any triangle-free subcubic graph is at most 32/11 ≈ 2.909.

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Subcubic triangle-free graphs have fractional chromatic number at most 14/5

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