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Problem 1 (Edge-List > DCEL). Frequently, a planar graph G-(V,E) is represented in the edge- list form, which for each vertex v, E contains the

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Problem 1 (Edge-List > DCEL). Frequently, a planar graph G-(V,E) is represented in the edge- list form, which for each vertex v, E contains the list of its incident edges, arranged in the order in which they appear as one proceeds counterclockwise around v,. Show that the edge-list representation of G can be transformed to the DCEL (Doubly- Connected-Edge-List) representation in time o(IV) Problem 1 (Edge-List > DCEL). Frequently, a planar graph G-(V,E) is represented in the edge- list form, which for each vertex v, E contains the list of its incident edges, arranged in the order in which they appear as one proceeds counterclockwise around v,. Show that the edge-list representation of G can be transformed to the DCEL (Doubly- Connected-Edge-List) representation in time o(IV)

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