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math.CO2009
Twins of rayless graphs
A. Bonato, H. Bruhn, R. Diestel +1
Two non-isomorphic graphs are twins if each is isomorphic to a subgraph of the other. We prove that a rayless graph has either infinitely many twins or none.
math.CO2009
Infinite random geometric graphs
Anthony Bonato, Jeannette Janssen
We introduce a new class of countably infinite random geometric graphs, whose vertices are points in a metric space, and vertices are adjacent independently with probability p if t…