Adjacency matrix

Every graph with labeled knots has an adjacency matrix, and every binary square matrix can be interpreted as the adjacency matrix of a graph.

	${\begin{pmatrix}1&1&0&0&1&0\\1&0&1&0&1&0\\0&1&0&1&0&0\\0&0&1&0&1&1\\1&1&0&1&0&0\\0&0&0&1&0&0\\\end{pmatrix}}$
Undirected octeract graph
Lattice of subgroups of Z23
See here

Cayley graphs of S₄

Nauru graph
Permutohedron graph