Here's a portion of the tile graph, overlayed on the corresponding portion of the street map...

The heavy dots are the nodes in the directed graph. 

Here's the same portion of the tile graph, without the street map underneath...

That looks a bit more like the graphs that are depicted in Weiss.

[For definitions and a discussion of how to represent graphs, please see Weiss section 14.1. Note that the graph above is quite sparse, so an adjacency matrix would be relatively wasteful of space.]