The Hungarian Method and Combinatorial Optimization Quiz
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Questions and Answers

Who developed the Hungarian method?

  • Dénes KÅ‘nig
  • James Munkres
  • JenÅ‘ Egerváry
  • Harold Kuhn (correct)

Which algorithm is also known as the Kuhn–Munkres algorithm?

  • Jonker–Volgenant algorithm
  • Edmonds and Karp algorithm
  • Hungarian method (correct)
  • Tomizawa algorithm

What is the time complexity of the original Hungarian method algorithm?

  • $O(2^n)$
  • $O(n^{2})$
  • $O(n^{4})$ (correct)
  • $O(n^{3})$

Who observed that the Hungarian method algorithm is (strongly) polynomial?

<p>James Munkres (D)</p> Signup and view all the answers

What problem did Ford and Fulkerson extend the method to?

<p>General maximum flow problems (A)</p> Signup and view all the answers

Study Notes

Hungarian Method

  • The Hungarian method was developed by Harold Kuhn in 1955.
  • The algorithm is also known as the Kuhn–Munkres algorithm.
  • The time complexity of the original Hungarian method algorithm is exponential.
  • In 2002, it was observed by Andras Frank that the Hungarian method algorithm is (strongly) polynomial.
  • Ford and Fulkerson extended the method to solve the maximum flow problem.

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Description

Test Your Knowledge of the Hungarian Method and Combinatorial Optimization with this Quiz! Challenge yourself with questions about the history, algorithm, and applications of the Hungarian method, a pivotal combinatorial optimization algorithm developed by Harold Kuhn in 1955. See how well you understand this influential mathematical concept!

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