An acyclic edge coloring of a graph G is a proper edge coloring such that no bichromatic cycles are produced. It was conjectured that every simple graph G with maximum degree \(\Delta \) is acyclically edge-\((\Delta +2)\)-colorable. In this paper, we confirm the conjecture for chordal graphs G with \(\Delta \le 6\).

中文翻译：

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有界弦图的非循环边着色

图G的非循环边着色是适当的边着色，从而不会产生双色循环。据推测，每个具有最大度数\(\Delta \) 的简单图G都是非循环边 - \((\Delta +2)\) -可着色的。在本文中，我们用\(\Delta \le 6\)证实了弦图G的猜想。