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.

	$\left(\begin{array}{cccccc}1& 1& 0& 0& 1& 0\\ 1& 0& 1& 0& 1& 0\\ 0& 1& 0& 1& 0& 0\\ 0& 0& 1& 0& 1& 1\\ 1& 1& 0& 1& 0& 0\\ 0& 0& 0& 1& 0& 0\end{array}\right)$
Undirected octeract graph
Lattice of subgroups of Z23
See here

Cayley graphs of S₄

Nauru graph
Permutohedron graph