Show that a subgraph T = (V, F) of the graph G = (V, E) is

Chapter , Problem 45E

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Show that a subgraph T = (V, F) of the graph G = (V, E) is an arborescence of G rooted at r if and only if T contains r, T has no simple circuits, and for every vertex v ? V other than r, deg?(v) = 1 in T.

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