Question: Given a directed graph with a root vertex , an arborescence is a subset of edges that contains a directed path from the root to

Given a directed graph Given a directed graph with a root vertex , an arborescence is with a root vertex , an arborescence is a subset of edges that contains a directed path from the root to each vertex of the graph. Given nonnegative costs on the edges, write the problem of finding a minimum-cost arborescence as a linear program. What is a short proof that the minimum arborescence has cost at least some value ?

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