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Planar Graphs

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1.Definition: Planar Drawing (Embedding)

2.Definition: Planar Graph

3.Proposition: Relationship Between Planarity and Biconnectivity of Graphs

4.Definition: Pieces of a Graph With Respect to A Cycle

5.Definition: Separating and Non-Separating Cycles

6.Definition: Interlacing Pieces with Respect to a Cycle, Interlacement Graph

7.Definition: Subdivision of a Graph

8.Proposition: Relationship Between Planarity and Connectivity of Graphs

9.Lemma: When is it possible to find a separating cycle in a biconnected graph, given a non-separating cycle?

10.Theorem: Characterization of Biconnected Planar Graphs

11.Theorem: Characterization of Planar Graphs (Kuratowski)

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Bibliography (further reading)