This group gathers pioneers of theory of computation whose primary contribution was combinatorial optimization, including graph theory and graph algorithms such as shortest path, minimum spanning tree and network flow, linear and integer programming, matching and scheduling problems, game theory and mechanism design, and evolutionary and genetic algorithms applied to discrete optimization problems. It follows the Theory and algorithms for application domains and Discrete mathematics headings of the ACM Computing Classification System under Theory of Computation. Their shared work is finding the best arrangement or solution among a large discrete set of possibilities, as distinct from classifying a problem inherent difficulty, which belongs to Computational Complexity Theory, or designing a general-purpose algorithm.
Facts
Comparison
Era of Emergence Combinatorial Optimization
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Sources
1. Wikipedia: Operations research
Wikimedia FoundationOperations research, lead section, World War II sentenceQuote, Operations research, lead section, World War II sentence
The modern field of operational research arose during World War II.
View the Source Jack Edmonds (Wikipedia)
Has Member: Jack Edmonds, Lead sectionQuote, Has Member: Jack Edmonds, Lead section
fundamental contributions to the fields of combinatorial optimization, polyhedral combinatorics, discrete mathematics and the theory of computing
View the Source Harold W. Kuhn (Wikipedia)
Has Member: Harold W. Kuhn, Lead sectionQuote, Has Member: Harold W. Kuhn, Lead section
He described the Hungarian method for the assignment problem
View the Source Otakar Borůvka (Wikipedia)
Has Member: Otakar Borůvka, Lead sectionQuote, Has Member: Otakar Borůvka, Lead section
He is best known for his work in graph theory
View the Source Marguerite Frank (Wikipedia)
Has Member: Marguerite Frank, Lead sectionQuote, Has Member: Marguerite Frank, Lead section
was a pioneer in convex optimization theory and mathematical programming
View the Source Nicos Christofides (Wikipedia)
Has Member: Nicos Christofides, Lead sectionQuote, Has Member: Nicos Christofides, Lead section
he devised the Christofides algorithm, an algorithm for finding approximate solutions to the travelling salesman problem
View the Source David Shanno (Wikipedia)
Has Member: David Shanno, LeadQuote, Has Member: David Shanno, Lead
specialized in mathematical optimization and operations research
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