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The Hungarian Method and Combinatorial Optimization Quiz

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The Hungarian Method and Combinatorial Optimization Quiz

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Questions and Answers

Who developed the Hungarian method?

Dénes Kőnig

James Munkres

Jenő 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!