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On the complexity of the approximation of nonplanarity parameters for cubic graphs

机译:关于三次图非平面参数逼近的复杂性

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摘要

Let G=(V,E) be a simple graph. The NON-PLANAR DELETION problem consists in finding a smallest subset E' is contained in E such that H = (V,EE') is a planar graph. The SPLITTING NUMBER problem consists in finding the smallest integer k ≥ 0, such that a planar graph H can be defined from G by k vertex splitting operations. We establish the Max SNP-hardness of SPLITTING NUMBER and NON-PLANAR DELETION problems for cubic graphs.
机译:令G =(V,E)为简单图。非平面删除问题在于找到E中包含的最小子集E',使得H =(V,E E')是平面图。分裂数问题在于找到最小的整数k≥0,以便可以通过k个顶点分裂操作从G定义平面图H。我们建立了分裂图的最大SNP硬度和三次图的非平面删除问题。

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