Topic: Characterizations of Trees

Leaves from Longest Paths

Leaf Counts and Vertex Degrees in Trees

Induction on the Number of Vertices for Tree Proofs

Forests and Their Components

Every Tree Edge Is a Bridge

Deleting a Leaf Preserves Tree Structure

Counterexamples to Tree Tests Based on Edge Counts

Connected Graphs Need at Least n−1 Edges

Connected Graphs with n−1 Edges Are Trees

Choosing a Tree Characterization from Available Data