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COP-4534: Combinatorial Optimization Quiz

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COP-4534: Combinatorial Optimization Quiz

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Questions and Answers

In the Traveling Salesman Problem (TSP), what is the requirement for visiting each city?

Multiple times

Once (correct)

At least thrice

Twice

What is the main goal of combinatorial optimization problems?

Finding all possible solutions

Maximizing the objective function (correct)

Finding the longest route

Minimizing the objective function

Which type of graph is used to represent the Traveling Salesman Problem?

Directed acyclic graph

Complete weighted graph (correct)

Cyclic graph

Binary tree

What makes Combinatorial Optimization problems particularly challenging?

Large solution space Signup and view all the answers

What is the key characteristic of the shortest route in the Traveling Salesman Problem?

Visits every vertex exactly once Signup and view all the answers

What is the purpose of constructing all permutations of the vertices of a graph in the context of Combinatorial Optimization?

To find the Hamiltonian cycle with minimum cost Signup and view all the answers

In the context of Combinatorial Optimization, what is a common approach to solving the Traveling Salesman Problem (TSP) using exhaustive search?

Finding all permutations of the graph vertices and calculating the cost of each cycle Signup and view all the answers

What is the role of the 'constructCandidateSet' function in the 'printPermutations' method?

To generate a list of possible vertices for permutation at a certain index Signup and view all the answers

Why is it essential to compute and compare the cost of each cycle when finding permutations for the graph vertices?

To determine the cycle with the smallest cost Signup and view all the answers

What does the 'printArray' function likely do in the context of Combinatorial Optimization?

Display the vertices of a computed cycle Signup and view all the answers

In Combinatorial Optimization, what does 'Heuristic method' refer to?

An approximate approach used when an exhaustive search is not feasible Signup and view all the answers