Abstract We present a complete description of matching extendability in 5-connected planar triangulations after the deletion of a set of vertices of appropriate parity. We also introduce a variation of distance restricted matching extension in the setting of vertex deleted graphs and prove some results which generalize certain previous results obtained for 5-connected planar triangulations.

中文翻译：

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平面三角剖分和近三角剖分中的受限匹配

摘要 我们完整地描述了在删除一组适当奇偶性的顶点后的 5 连通平面三角剖分中的匹配扩展性。我们还在顶点删除图的设置中引入了距离限制匹配扩展的变体，并证明了一些结果，这些结果概括了先前为 5 连通平面三角剖分获得的某些结果。