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The travelling salesman problem (TSP) asks the following question: "Given a list of cities and the distances between each pair of cities, what is the shortest possible route that visits each city exactly once and returns to the origin city?" It is an NP-hard problem in combinatorial optimization, important in theoretical computer science and operations research.
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The Concorde TSP Solver is a program for solving the travelling salesman problem. It was written by David Applegate, Robert E. Bixby, Vašek Chvátal, and William J. Cook, in ANSI C, and is freely available for academic use.
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András Sebő is a Hungarian-French mathematician working in the areas of combinatorial optimization and discrete mathematics. Sebő is a French National Centre for Scientific Research (CNRS) Director of Research and the head of the Combinatorial Optimization. group in Laboratory G-SCOP, affiliated with the University of Grenoble and the CNRS.
Martin Grötschel is a German mathematician known for his research on combinatorial optimization, polyhedral combinatorics, and operations research. From 1991 to 2012 he was Vice President of the Zuse Institute Berlin (ZIB) and served from 2012 to 2015 as ZIB's President. From 2015 to 2020 he was President of the Berlin-Brandenburg Academy of Sciences and Humanities (BBAW).
Edith Cohen is an Israeli and American computer scientist specializing in data mining and algorithms for big data. She is also known for her research on peer-to-peer networks. She works for Google in Mountain View, California, and as a visiting professor at Tel Aviv University in Israel.
In Pursuit of the Traveling Salesman: Mathematics at the Limits of Computation is a book on the travelling salesman problem, by William J. Cook, published in 2011 by the Princeton University Press, with a paperback reprint in 2014. The Basic Library List Committee of the Mathematical Association of America has suggested its inclusion in undergraduate mathematics libraries.
Robert A. (Bob) Bosch is an author, recreational mathematician and the James F. Clark Professor of Mathematics at Oberlin College. He is known for domino art and for combining graph theory and mathematical optimization to design connect-the-dots eye candy: labyrinths, knight's tours, string art and TSP Art.
References
- 1 2 3 4 "David Applegate", Research at Google, retrieved 2017-08-03
- ↑ David Applegate at the Mathematics Genealogy Project
- ↑ Past Winners of the Beale — Orchard-Hays Prize, Mathematical Optimization Society , retrieved 2017-08-03.
- 1 2 "David L. Applegate", Recognizing Excellence: Award Recipients, Institute for Operations Research and the Management Sciences , retrieved 2017-08-03
- 1 2 The IEEE Communications Society William R. Bennett Prize, retrieved 2017-08-03
- 1 2 3 Applegate, David; Lebrun, Marc; Sloane, N. J. A. (2010), "Carryless Arithmetic Mod 10", George Pólya Awards, Mathematical Association of America, arXiv: 1008.4633 , retrieved 2017-08-03
- ↑ Gardner, Martin (2001), The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems : Number Theory, Algebra, Geometry, Probability, Topology, Game Theory, Infinity, and Other Topics of Recreational Mathematics, W. W. Norton & Company, p. 491, ISBN 9780393020236
- ↑ Peterson, Ivars (2002), Mathematical Treks: From Surreal Numbers to Magic Circles, MAA Spectrum, Mathematical Association of America, p. 71, ISBN 9780883855379
- ↑ Lenstra, Jan Karel; Shmoys, David (2009), "The traveling salesman problem: a computational study", SIAM Review, 51 (4): 799–801, MR 2573947
