Topic: Kuratowski's and Wagner's Theorems

Worked Tests for Wagner’s Criterion

Why K5 and K3,3 Minors Obstruct Planarity

Whitney’s Unique Embedding Theorem

Wagner’s Planar Minor Criterion

Vertex Separations and Connectivity Decompositions

Three-Connected Graphs and Plane Embeddings

The Kuratowski Reduction Lemma

Subdivisions and Homeomorphic Graphs

Recovering Embeddings from Facial Cycles

Proof of Kuratowski’s Theorem