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1 1. CSCI 270 – Spring 2020 – HW 1 Due Jan 23rd Graded Problems State True/False: An instance of the stable marriage problem has a unique stable matching if and only if the version of the Gale-Shapely algorithm where the male proposes and the version where the female proposes both yield the exact same
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Exam I Review Session DFS/BFS Danyong Zhao 5:00~5:50 PM Question 1/4 Given an undirected graph G = (V, E) and a particular edge e ε E, determines whether G has a cycle containing e. The running time should be bounded by O(|V | + |E|). Let s and t denote the ending nodes of the
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CS570 Spring 2018: Analysis of Algorithms Exam III Points Points Problem 1 20 Problem 5 15 Problem 2 15 Problem 6 10 Problem 3 15 Problem 7 10 Problem 4 15 Total: 100 Points Instructions: 1. This is a 2-hr exam. Closed book and notes 2. If a description to an algorithm or a proof
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1 1. CSCI 570 – Fall 2020 – HW 8 Solution Due October 28st 11:59pm 2020 Graded Problems The edge connectivity of an undirected graph is the minimum number of edges whose removal disconnects the graph. Describe an algorithm to compute the edge connectivity of an undirected graph with n vertices and m edges in
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CSCI 570 – Fall 2020 – HW9 Due November 4th 11:59pm 2020 1 Graded Problems 1. In the network below 1, the demand values are shown on vertices. Lower bounds on flow and edge capacities are shown as (lower bound, capacity) for each edge. Answer the following questions: 1. Describe how to reduce the circulation
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1 1. CSCI 570 – Fall 2020 HW 4 Solution Graded Problems Suppose you were to drive from USC to Santa Monica along I-10. Your gas tank, when full, holds enough gas to go p miles, and you have a map that contains the information on the distances between gas stations along the route. Let
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Discussion 10 1. Given the SAT problem from lecture for a Boolean expression in Conjunctive Normal Form with any number of clauses and any number of literals in each clause. For example, (X1 X3)(X1 X2 X4 X5)… Prove that SAT is polynomial time reducible to the 3-SAT problem (in which each clause contains at most
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