%0 Journal Article %T The fractional chromatic number of triangle-free subcubic graphs %A David Ferguson %A Tom¨¢£¿ Kaiser %A Daniel Kr¨¢l' %J Mathematics %D 2012 %I arXiv %X 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 (which is roughly 2.909). %U http://arxiv.org/abs/1203.1308v3