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Rooted trees<br />
Definition<br />
Rooted tree (V , E, r) is a tree (V , E) with selected root r ∈ V .<br />
Definition<br />
Isomorphism of rooted trees T 1 (V 1 , E 1 , r 1 ) and T 2 (V 2 , E 2 , r 2 ) is<br />
a bijection between the vertex sets ϕ : V 1 → V 2 such that<br />
and ϕ(r 1 ) = r 2 .<br />
∀u, v ∈ V 1 (u, v) ∈ E 1 ⇔ (ϕ(u), ϕ(v)) ∈ E 2<br />
Example<br />
T 1 and T 2 are isomorphic as graphs . . .<br />
a<br />
B<br />
b<br />
c<br />
A C<br />
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