Topic: Graphs, Degrees and the Handshake Lemma

In-Degree and Out-Degree

Edge Counts in Regular Graphs

Directed Graphs and Arc Incidence

Diagnosing Nongraphic Sequences

Degrees in Multigraphs

Degree Sequences and Sorting Conventions

Degree Sums Across Vertex Subsets

Degree Bounds in Simple Graphs

Counting Edges from Degree Data

Comparing Havel-Hakimi and Erdos-Gallai Tests