As reported in the talk on the hyperbolic geometry of maps and networks, the often claimed approximability of the Internet graph (the routing graph as seen by Border Gateway Protocol) by samples from disks of large radius in the hyperbolic plane is somewhat questionable: the local dimensions of the Rips complexes build from the ASN graphs are wild.
(designed and implemented by Yuriy Mileyko)
of the Rips complexes derived from
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Color-coded by the rank of first local homology, the (spring-embedded) graph of a snapshot of ASN relationships.