Topic: Drawings, Crossing Numbers and Embeddings on Surfaces

Toroidal Embeddings of K5 and K3,3

The Crossing Lemma

Surface Edge Bounds and Genus Lower Bounds

Proof of the Heawood Bound

Orientable and Nonorientable Graph Genus

General-Position Drawings and Crossing Number

Exact Crossing Numbers of K5 and K3,3

Euler Characteristic of Compact Surfaces

Crossing Number Bounds by Subgraph Counting

Cellular Embeddings and Euler’s Formula on Surfaces