 For example, under this ordering, the adjacency matrix of formula_88 is given by

formula_98 

As formula_26 gets larger, 
the adjacency matrices become a finer and finer chessboard.Despite this behavior, we still want the limit of formula_86 to be unique and result in the graphon from example 4.This means when we formally define convergence for a sequence of graphs, the definition of a limit should be agnostic to relabelings of the vertices.