H. S. Teoh:

I'm hoping for a kind of compressed representation where multiple adjacent nodes can be represented in a very compact way, by somehow taking advantage of the fact that they lie on an n-dimensional grid and the fact that graph edges are always a subset of grid edges (as opposed
to edges between two arbitrary nodes).

Look for Succinct Data-Structures, Graphs. You can impose further memory savings in your problem.

Bye,
bearophile

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