“…In [16] it is conjectured that Theorem 1.2 should hold with r 0 (H) = v(H) + 1. Counterexamples are known for all r ≤ χ(H) + 1, but determining the exact value of r 0 (H) remains open, see [9,12,15,16]. We did not attempt to optimize our bound, beyond ensuring that it is polynomial in v(H), and prioritized simplicity of presentation.…”