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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 NonSeparating 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 nonseparating cycle?
10.
Theorem
: Characterization of Biconnected Planar Graphs
11.
Theorem
: Characterization of Planar Graphs (Kuratowski)
Edit or Add
Notation
Axiomatic Method
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bookofproofs
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Bibliography (further reading)