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1. Suppose you are given the adjacency matrix representation M of a directed graph G = (V,E). Note that the size of M is Θ(n2). The goal here is to determine if there is a node of G with in-degree n−1 and out-degree 0 (that is, all other nodes point to it and it points to no other node). Give an algorithm to do this which runs in Θ(n) time (so not Θ(n2)). [5 points]2. Suppose you work for a lab which is studying butterflies. It has a sample of n butterflies, L1,L2,...,L ...

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Tags: United States Eugene Mathematics  Engineering University of New South Wales Engineering 

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