Topic: Kuratowski's and Wagner's Theorems

Planarity Under Deletion and Contraction

Peripheral Cycles and Their Characterization

Kuratowski Subdivisions as Nonplanarity Certificates

Graph Minors and Minor Models

From Kuratowski Subdivisions to Forbidden Minors

Finding Kuratowski Subdivisions in Worked Graphs

Facial Cycles in Three-Connected Plane Graphs

Embedding Nonuniqueness in Graphs with Separators

Embedding Bridges into Faces

Distinguishing Minor and Subdivision Containment