Two distinct crossings are independent if the end-vertices of any two pairs of crossing edges are disjoint. A graph said to be plane graph with independent crossings or IC-planar, if it can be drawn in the plane such that every two crossings are independent. In this paper, we proved that every IC-planar graph G with \(\varDelta (G) = 7\) admits a proper edge-coloring with \(\varDelta (G)\) colors if G does not contain a 6-cycle with three chords.

中文翻译：

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IC 平面图为 1 类的充分条件

如果任意两对交叉边的端点不相交，则两个不同的交叉点是独立的。一个图被称为具有独立交叉点的平面图或 IC-平面图，如果它可以在平面上绘制使得每两个交叉点都是独立的。在本文中，我们证明了每IC-平面图ģ与\（\ varDelta（G）= 7 \）承认的适当边缘着色用\（\ varDelta（G）\）的颜色，如果ģ不含有6-用三个和弦循环。