The problem of determining the maximum number of node-disjoint subtree
s of a tree T on n(t) nodes isomorphic to a tree S on n(s) nodes is sh
own to be solvable in time O(n(s)(3/2)n(t)). The same asymptotic bound
s are observed for the corresponding problems where topological imbedd
ing and subgraph homeomorphism are respectively substituted for subgra
ph isomorphism.