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Jun 12, 2021 at 9:50 comment added HJRW Not usually the full automorphism group; geometric group theory is primarily concerned with discrete groups acting geometrically on graphs. But there are some strands where the discrete group is thought of as a lattice in the full automorphism group. It’s a big subject, so hard to summarise, but if you want an overview you could do worse than look at the recent book “Office hours with a geometric group theorist”.
Jun 11, 2021 at 17:45 comment added apg Ok very interesting. So the automorphism group of the graph would then have a geometric structure?
Jun 10, 2021 at 21:11 comment added HJRW Graphs, geometry and symmetry interact very strongly in the area of geometric group theory, usually using the natural path metric on the graph. I don't know if that fits into the framework of "network geometry".
Jun 9, 2021 at 14:03 history asked apg CC BY-SA 4.0