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1. How many edges are in the transitive closure of a graph that consists of a simple directed…

1. How many edges are in the transitive closure of a graph that consists of a simple directed…

1. How many edges are in the transitive closure of a graph that consists of a simple directed path of n vertices?2. Given an n-node complete binary tree T, rooted at a given position, consider a directed graph  having the nodes of T as its vertices. For each parent-child pair in T, create a directed edge in  from the parent to the child. Show that the transitive closure of  has O(nlogn) edges.