Mathlib
Atlas
Combinatorics and graph theory
Pathway XIX
Γ
Simple graphs
Vertices and undirected edges, no loops or doubles. The skeleton of combinatorics.
01
Simple graphs
A simple graph is a vertex set and a set of unordered pairs. Degrees count incident edges.
4 min
02
Trees
A tree is a connected graph with no cycles. Equivalently: |E| = |V| − 1, and unique paths.
4 min
Begin this pathway