We prove that for any graph of maximum degree at most Δ, the zeros of its chromatic polynomial (in ) lie inside the disc of radius 5.94Δ centered at 0. This improves on the previously best known bound of approximately 6.91Δ.

中文翻译：

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通过惠特尼断路定理改进色多项式零点的界限


我们证明，对于任何最大次数最多为 Δ 的图，其色多项式 (in ) 的零点位于以 0 为中心、半径为 5.94Δ 的圆盘内。这改进了之前已知的大约 6.91Δ 的界限。