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

Let G =( V , E ) be a simple graph. The NON-PLANAR DELETION problem consists in finding a smallest subset E ′⊂ E such that H =( V , E ⧹ E ′) 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Discrete Applied Mathematics Elsevier
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