We show that every 1-planar graph with minimum degree at least 4 has girth at most $8$, and every 1-planar graph with minimum degree at least 3 has girth at most $198$.

中文翻译：

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最小度数至少为 3 的 1 平面图具有有界周长

我们表明，每个最小度数至少为 4 的 1-平面图的周长最多为 $8$，而每个最小度数至少为 3 的 1-平面图的周长最多为 $198$。