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Hungarian algorithm

Index Hungarian algorithm

The Hungarian method is a combinatorial optimization algorithm that solves the assignment problem in polynomial time and which anticipated later primal-dual methods. [1]

30 relations: Algorithm, András Frank, Assignment problem, Breadth-first search, Carl Gustav Jacob Jacobi, Combinatorial optimization, Complete bipartite graph, D. R. Fulkerson, Dénes Kőnig, Duality (optimization), Harold W. Kuhn, Hong Kong University of Science and Technology, Hungary, Jack Edmonds, James B. Orlin, James Munkres, Java applet, Jenő Egerváry, L. R. Ford Jr., Matching (graph theory), Matrix (mathematics), Mike Dawes, Murray State University, Naval Research Logistics, Ravindra K. Ahuja, Richard M. Karp, SIAM Journal on Applied Mathematics, Thomas L. Magnanti, Time complexity, University of Western Ontario.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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András Frank

András Frank (born 3 June 1949) is a Hungarian mathematician, working in combinatorics, especially in graph theory, and combinatorial optimisation.

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Assignment problem

The assignment problem is one of the fundamental combinatorial optimization problems in the branch of optimization or operations research in mathematics.

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Breadth-first search

Breadth-first search (BFS) is an algorithm for traversing or searching tree or graph data structures.

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Carl Gustav Jacob Jacobi

Carl Gustav Jacob Jacobi (10 December 1804 – 18 February 1851) was a German mathematician, who made fundamental contributions to elliptic functions, dynamics, differential equations, and number theory.

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Combinatorial optimization

In applied mathematics and theoretical computer science, combinatorial optimization is a topic that consists of finding an optimal object from a finite set of objects.

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Complete bipartite graph

No description.

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D. R. Fulkerson

Delbert Ray Fulkerson (August 14, 1924 – January 10, 1976) was an American mathematician who co-developed the FordNdashFulkerson algorithm, one of the most well-known algorithms to solve the maximum flow problem in networks.

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Dénes Kőnig

Dénes Kőnig (September 21, 1884 – October 19, 1944) was a Jewish Hungarian mathematician who worked in and wrote the first textbook on the field of graph theory.

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Duality (optimization)

In mathematical optimization theory, duality or the duality principle is the principle that optimization problems may be viewed from either of two perspectives, the primal problem or the dual problem.

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Harold W. Kuhn

Harold William Kuhn (July 29, 1925 – July 2, 2014) was an American mathematician who studied game theory.

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Hong Kong University of Science and Technology

The Hong Kong University of Science and Technology (HKUST) is a public research university in Clear Water Bay, Hong Kong.

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Hungary

Hungary (Magyarország) is a country in Central Europe that covers an area of in the Carpathian Basin, bordered by Slovakia to the north, Ukraine to the northeast, Austria to the northwest, Romania to the east, Serbia to the south, Croatia to the southwest, and Slovenia to the west.

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Jack Edmonds

Jack R. Edmonds (born April 5, 1934) is an American computer scientist, regarded as one of the most important contributors to the field of combinatorial optimization.

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James B. Orlin

James Berger Orlin (born April 19, 1953), accessed 2011-03-05.

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James Munkres

James Raymond Munkres (born August 18, 1930) is a Professor Emeritus of mathematics at MIT and the author of several texts in the area of topology, including Topology (an undergraduate-level text), Analysis on Manifolds, Elements of Algebraic Topology, and Elementary Differential Topology.

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Java applet

A Java applet was a small application that is written in the Java programming language, or another programming language that compiles to Java bytecode, and delivered to users in the form of Java bytecode.

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Jenő Egerváry

Jenő Egerváry (or Eugene Egerváry) (April 16, 1891 – November 30, 1958) was a Hungarian mathematician.

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L. R. Ford Jr.

Lester Randolph Ford Jr. (born September 23, 1927 – February 26, 2017) was an American mathematician specializing in network flow problems.

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Matching (graph theory)

In the mathematical discipline of graph theory, a matching or independent edge set in a graph is a set of edges without common vertices.

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Matrix (mathematics)

In mathematics, a matrix (plural: matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

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Mike Dawes

Mike Dawes is an English Fingerstyle guitar player known for composing, arranging and performing multiple parts simultaneously on one instrument using unique extended and micro-techniques.

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Murray State University

Murray State University (MSU) is a four-year public university located in Murray, Kentucky, United States.

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Naval Research Logistics

Naval Research Logistics is a peer-reviewed scientific journal that publishes papers in the field of logistics, especially those in the areas of operations research, applied statistics, and quantitative modeling.

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Ravindra K. Ahuja

Dr.

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Richard M. Karp

Richard Manning Karp (born January 3, 1935) is an American computer scientist and computational theorist at the University of California, Berkeley.

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SIAM Journal on Applied Mathematics

The SIAM Journal on Applied Mathematics is a peer-reviewed academic journal in applied mathematics published by the Society for Industrial and Applied Mathematics (SIAM), with Paul A. Martin as its editor-in-chief.

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Thomas L. Magnanti

Thomas L. Magnanti (born 1945) is an American engineer and Institute Professor and former Dean of the School of Engineering at the Massachusetts Institute of Technology.

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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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University of Western Ontario

The University of Western Ontario (UWO), corporately branded as Western University as of 2012 and commonly shortened to Western, is a public research university in London, Ontario, Canada.

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Redirects here:

Hungarian method, KM algorithm, Kuhn-Munkres algorithm, Munkres' assignment algorithm.

References

[1] https://en.wikipedia.org/wiki/Hungarian_algorithm

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