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?

<p>Large solution space (C)</p> Signup and view all the answers

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

<p>Visits every vertex exactly once (D)</p> 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?

<p>To find the Hamiltonian cycle with minimum cost (A)</p> 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?

<p>Finding all permutations of the graph vertices and calculating the cost of each cycle (C)</p> Signup and view all the answers

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

<p>To generate a list of possible vertices for permutation at a certain index (D)</p> 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?

<p>To determine the cycle with the smallest cost (B)</p> Signup and view all the answers

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

<p>Display the vertices of a computed cycle (A)</p> Signup and view all the answers

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

<p>An approximate approach used when an exhaustive search is not feasible (C)</p> Signup and view all the answers

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