Graph Poset Map

Unlabeled graphs on n vertices ordered by subgraph: the quotient BC(n,2)/Sn
n
layout
orbit size 1
n!

Made for Math 372: Combinatorics at Reed College, fall 2026. Elements are orbits of Sn on the edge subsets of Kn, i.e. unlabeled graphs; the order is induced from the Boolean algebra, as in Chapter 5 of Stanley's Algebraic Combinatorics. Part of e-infinity.space/viz.