Topic: The Probabilistic Method

Vertex Deletion to Raise Girth

Union Bounds for Multiple Obstructions

The First-Moment Existence Lemma

The Alteration Method for Graph Existence

Simultaneous Control of Cycles and Independent Sets

Random Graphs Without Large Cliques or Independent Sets

Optimizing p for Asymmetric Ramsey Lower Bounds

Indicator Variables and Linearity of Expectation

First-Moment Upper Bounds on Independence Numbers

Expected Counts of Short Cycles