Question: Part 3: Using the Lipton-Tarjan Planar Separator Theorem (Given) According to the Lipton-Tarjan planar separator theorem, any planar graph with n vertices can be divided

Part 3: Using the Lipton-Tarjan Planar Separator Theorem (Given) According to the Lipton-Tarjan planar separator theorem, any planar graph with n vertices can be divided into two parts of size at most 2n/3 by removing a separator consisting of O(n) vertices. For the purposes of this problem, assume that such a separator has been effi- ciently found with time complexity O(n). The graph is now divided into two smaller subgraphs

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