Fractional version is true

It is probably worth mentioning that Zhu recently proved the fractional version of this conjecture: that $ \chi_f(G \times H) = \min\{\chi_f(G),\chi_f(H)\} $.

Xuding Zhu, The fractional version of Hedetniemi’s conjecture is true, European Journal of Combinatorics, Volume 32, Issue 7, October 2011, Pages 1168-1175, ISSN 0195-6698, 10.1016/j.ejc.2011.03.004. (


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