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22 relations: Approximate max-flow min-cut theorem, Christos Papadimitriou, Claude Shannon, Computer science, D. R. Fulkerson, Directed graph, Duality (optimization), Edmonds–Karp algorithm, Flow network, Ford–Fulkerson algorithm, George Dantzig, Kőnig's theorem (graph theory), Kenneth Steiglitz, L. R. Ford Jr., Linear programming, Mathematical optimization, Maximum flow problem, Menger's theorem, Minimum cut, Peter Elias, Strong duality, Vijay Vazirani.
Approximate max-flow min-cut theorem
Approximate max-flow min-cut theorems are mathematical propositions in network flow theory.
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Christos Papadimitriou
Christos Harilaos Papadimitriou (Greek: Χρήστος Χαρίλαος Παπαδημητρίου; born August 16, 1949) is a Greek theoretical computer scientist, and professor of Computer Science at Columbia University.
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Claude Shannon
Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, and cryptographer known as "the father of information theory".
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Computer science
Computer science deals with the theoretical foundations of information and computation, together with practical techniques for the implementation and application of these foundations.
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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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Directed graph
In mathematics, and more specifically in graph theory, a directed graph (or digraph) is a graph that is a set of vertices connected by edges, where the edges have a direction associated with them.
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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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Edmonds–Karp algorithm
In computer science, the Edmonds–Karp algorithm is an implementation of the Ford–Fulkerson method for computing the maximum flow in a flow network in O(V E2) time.
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Flow network
In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow.
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Ford–Fulkerson algorithm
The Ford–Fulkerson method or Ford–Fulkerson algorithm (FFA) is a greedy algorithm that computes the maximum flow in a flow network.
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George Dantzig
George Bernard Dantzig (November 8, 1914 – May 13, 2005) was an American mathematical scientist who made important contributions to operations research, computer science, economics, and statistics.
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Kőnig's theorem (graph theory)
In the mathematical area of graph theory, Kőnig's theorem, proved by, describes an equivalence between the maximum matching problem and the minimum vertex cover problem in bipartite graphs.
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Kenneth Steiglitz
Dr.
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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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Linear programming
Linear programming (LP, also called linear optimization) is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships.
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Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization or mathematical programming, alternatively spelled optimisation, is the selection of a best element (with regard to some criterion) from some set of available alternatives.
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Maximum flow problem
In optimization theory, maximum flow problems involve finding a feasible flow through a single-source, single-sink flow network that is maximum.
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Menger's theorem
In the mathematical discipline of graph theory and related areas, Menger's theorem is a characterization of the connectivity in finite undirected graphs in terms of the maximum number of disjoint paths that can be found between any pair of vertices.
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Minimum cut
In graph theory, a minimum cut of a graph is a cut (a partition of the vertices of a graph into two disjoint subsets that are joined by at least one edge) that is minimal in some sense.
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Peter Elias
Peter Elias (November 23, 1923 – December 7, 2001) was a pioneer in the field of information theory.
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Strong duality
Strong duality is a condition in mathematical optimization in which the primal optimal objective and the dual optimal objective are equal.
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Vijay Vazirani
Vijay Virkumar Vazirani (विजय वीरकुमार वज़ीरानी; b. 1957) is an Indian American distinguished professor of computer science in the Donald Bren School of Information and Computer Sciences at the University of California, Irvine.
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References
[1] https://en.wikipedia.org/wiki/Max-flow_min-cut_theorem
