Problems
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Let H be a hypertree. Then X_H is F-positive.
For every K_r -free graph G, fracα(G)overlineα_G(1)≥ 1+1/r. For every K_r -free graph G of minimum degree d, fracα(G)overlineα_G(1)≥ 2-o_d(1), with r fixed as d →∞ .