The Last Fraction of a Fractional Conjecture
نویسندگان
چکیده
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at least g is at most ∆ + 1 + ε. The conjecture was proven to be true when ∆ = 3 or ∆ is even. We settle the conjecture by proving it for the remaining cases.
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عنوان ژورنال:
- SIAM J. Discrete Math.
دوره 24 شماره
صفحات -
تاریخ انتشار 2010