A rooted forest is a forest in which each connected component has a distinguished root vertex. Equivalently, a rooted forest is a graph disjoint union of rooted trees.
Rooted Forest
See also
Forest, Root Vertex, Rooted Tree, TreedepthExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Rooted Forest." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/RootedForest.html