Outerplanarity Checker

outer face embedding

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About Outerplanarity Checker

An outerplanarity checker testing if G can be drawn planar with all vertices on the outer face. Equivalent: no K_4 or K_{2,3} minor. O(n) recognition. Outerplanar → planar. Outerplanar → book thickness 1. Outerplanar → treewidth ≤ 2. Client-side.

Outerplanarity Checker Features

  • Outerplanar test
  • K₄,K_{2,3}-free
  • tw ≤ 2
  • bt = 1
  • O(n)

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