Topic: Planar Graphs and Euler's Formula

Planar Edge Bounds from Girth

Low-Degree Vertices in Planar Graphs

How Edge Insertion Changes Face Counts

Faces and Boundary Walks

Euler’s Formula for Disconnected Plane Graphs

Euler’s Formula for Connected Plane Graphs

Edge-Face Incidences and Boundary Length

Computing Face Counts from Euler’s Formula

Common Errors in Face Counting

Bridges and Repeated Face Boundaries