Abstract
AbstractLet be the hypercube of dimension and let and be subsets of the vertex set , called configurations in . We say that is an exact copy of if there is an automorphism of which sends onto . Let be an integer, let be a configuration in and let be a configuration in . We let be the maximum, over all configurations in , of the fraction of sub‐‐cubes of in which is an exact copy of , and we define the ‐cube density of to be the limit as goes to infinity of . We determine for several configurations in and as well as for an infinite family of configurations. There are strong connections with the inducibility of graphs.
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