A proper edge coloring of a graph G is acyclic if there is no 2-colored cycle in G. The acyclic chromatic index of G is the least number of colors such that G has an acyclic edge coloring and denoted by Χ′_a(G). An IC-plane graph is a topological graph where every edge is crossed at most once and no two crossed edges share a vertex. In this paper, it is proved that Χ′_a(G) ≤ Δ(G) + 10, if G is an IC-planar graph without adjacent triangles and Χ′_a(G) ≤ Δ(G) + 8, if G is a triangle-free IC-planar graph.

中文翻译：

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IC平面图的非循环边缘着色

一个适当的边缘的曲线图的着色ģ是无环的，如果在没有2色的周期ģ。所述无环色指数的ģ是颜色的数量最少，使得ģ具有非环状边缘着色和由表示Χ'_一个（g ^）。IC平面图是一种拓扑图，其中每个边缘最多交叉一次，并且没有两个交叉的边缘共享一个顶点。在本文中，证明了Χ'_一个（g ^）≤Δ（G ^）+ 10，如果ģ是不相邻三角形和IC-平面图Χ'_一个（g ^）≤Δ（G ^）+ 8，如果G是无三角形的IC平面图。