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computer science
algorithms
february 2020
13

Algorithms Questions and Answers February 13, 2020

Expert-verified solutions to help you succeed

Suppose you are given the adjacency matrix representation M of a directed graph G = (V,E). Note that the size of M is (n2). The goal here is to determine if there is a node of G with in-degree n1 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 (n) time, not (n).

Suppose you use the brute force (unimproved) algorithm to search for a Hamiltonian circuit in the graph shown here. E, a. How many links would such a circuit have b. How many different paths would this algorithm examine c. If this algorithm is run on a computer where it takes 0.0001 seconds to examine a single path, what is the total time required

We had an attribute Time which specifieswhen the class begins. (a) We can pick a thresholdand use (Time< )? as a criteria to split the data in two. Explainhow you might pick the optimal value of . (b) In the decision tree learning algorithm discussed in class, once an binary attribute is used, thesubtrees do not need to consider it. Explain why

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