81. Travelling Salesman Problem - Simple English Wikipedia, The Free Encyclopedia The Traveling Salesman Problem is typical of a large class of hard optimization problems that have intrigued mathematicians and computer scientists for years. http://simple.wikipedia.org/wiki/Travelling_Salesman_Problem

Travelling Salesman Problem From Wikipedia, the free encyclopedia Jump to: navigation search S salesman wants to visit all cities,A, B, C and D. What is the best way to do this (cheapest airline tickets, and minimal travel time)? The Travelling Salesman Problem (often called TSP ) is a classic algorithmic problem in the field of computer science . It is focused on optimisation . In this context better solution often means a solution that is cheaper . TSP is a mathematical problem. It is most easily expressed as a graph describing the locations of a set of nodes. change Stating the problem The Travelling Salesman Problem describes a salesman who must travel between N cities. The order in which he does so is unimportant, provided he visits each one during his trip, and finishes in his starting location. Each city is connected to other close by cities, or nodes, by airplanes , or by road or railway . Each of those links between the cities has one or more weights (cost) attached. The cost describes how "difficult" it is to traverse this edge on the graph, and may be given, for example, by the cost of an airplane ticket or train ticket, or perhaps by the length of the edge, or time required to complete the traversal. The salesman wants to keep both the travel costs, as well as the distance he travels as low as possible.

82. Phrase-Based Statistical Machine Translation As A Traveling File Format PDF/Adobe Acrobat Quick View http://www.aclweb.org/anthology/P/P09/P09-1038.pdf

83. The Traveling Salesman Problem With Pickup And Delivery File Format PDF/Adobe Acrobat Quick View http://www.diku.dk/hjemmesider/ansatte/sropke/Papers/The Traveling Salesman Prob

84. Traveling Salesman Problem Summary | BookRags.com Traveling Salesman Problem. Traveling Salesman Problem summary with 1 pages of encyclopedia entries, research information, and more. http://www.bookrags.com/research/traveling-salesman-problem-wcs/

85. The Traveling Salesman Problem On Halin Graphs The Traveling Salesman Problem on Halin Graphs. A 4connected Halin graph is a graph of vertex connectivity 4 of the form H = S U T U C, where S and T are http://www.nmt.edu/~math/research/curt1.html

New Mexico Tech Socorro, NM 87801 Phone: (575)835-5393 Fax: (575)835-5366 math@nmt.edu The Traveling Salesman Problem on Halin Graphs A 4-connected Halin graph is a graph of vertex connectivity 4 of the form H = S U T U C, where S and T are isomorphic plane trees with common leaves and C is the cycle containing the leaves of S in the order determined by the plane representation of S ot T. A 3-connected Halin graph has a similar form H = T U C. 3-connected Halin graphs have many interesting properties. They are Hamiltonian-connected and 1-Hamiltonian (the vertex deleted subgraphs are Hamiltonian). Furthermore the travelling salesman problem can be solved in linear time on a weighted 3-connected Halin graph. We have worked on the 4-connected Halin graphs and proved the following for an arbitrary 4-connected Halin graph H of order n : (a) H is pancyclic and so is any vertex deleted subgraph (b) H is 2-Hamiltonian (c) The travelling salesman problem can be done in O(n^2) time on H (d) if x and y are vertices of H then H-x-y is Hamiltonian.

86. The Traveling Salesman Problem With Cumulative Costs - Bianco - 2006 - Networks by L Bianco 1993 - Cited by 39 - Related articles http://www3.interscience.wiley.com/journal/113393489/abstract

87. HAL :: [hal-00003928, Version 1] Differential Approximation Results For The Trav by T Petit 1988 - Cited by 3 - Related articles http://hal.archives-ouvertes.fr/hal-00003928/en/

88. Simulating Human Performance On The Traveling Salesman Problem File Format PDF/Adobe Acrobat Quick View http://www.adcogsys.com/pubs/bjbesticcm-2000-ModelingTSP.pdf

89. Phase Transitions And Backbones Of The Asymmetric Traveling Your browser may not have a PDF reader available. Google recommends visiting our text version of this document. http://www.aaai.org/Papers/JAIR/Vol21/JAIR-2114.pdf

90. Two Algorithmic Results For The Traveling Salesman Problem File Format Adobe PostScript View as HTML http://www.ics.uci.edu/~eppstein/pubs/notmine/Barvinok-maxtsp.ps.gz

91. Traveling Salesman Problem Jun 30, 2007 Traveling Salesman Problem. A salesman needs to visit each city in a list of cities and return to his home base. http://www.c2.com/cgi/wiki?TravelingSalesmanProblem

92. Interactive Genetic Algorithms For The Traveling Salesman Problem File Format Adobe PostScript View as HTML http://www.cse.unr.edu/~sushil/pubs/newpapers/99/gecco99/iga/GECCO/gecco.ps

93. IMA PUBLIC LECTURE The Traveling Salesman Problem By William J. Cook, October 16 Mar 4, 2008 The traveling salesman problem, or TSP for short, is easy to state given a number of cities along with the cost of travel between each http://www.ima.umn.edu/public-lecture/tsp/index.html

University of Minnesota http://www.umn.edu/ Main navigation Main content Campuses: Twin Cities Crookston Duluth Morris ... myU Search U of M Web sites What's inside Homepage About the IMA Giving Opportunities What's Happening ... 2002-2003 Program: Optimization IMA PUBLIC LECTURE The Traveling Salesman Problem William J. Cook Industrial and Systems Engineering Georgia Institute of Technology wcook@isye.gatech.edu http://www.isye.gatech.edu/~wcook/ Wednesday, October 16, 2002, 7:00 PM Moos Tower, Room 2-650 University of Minnesota , East Bank Poster pdf jpg http://www.math.princeton.edu/tsp/ Talk 58 mins. RealAudio(SureStream) USA 13509 Cities USA 13509 Maze USA 13509 Tour The traveling salesman problem, or TSP for short, is easy to state: given a number of "cities" along with the cost of travel between each pair of them, find the cheapest way of visiting all the cities and returning to your starting point. The simplicity of the statement is deceptive - the TSP is one of the most intensely studied problems in computational mathematics and yet no effective solution method is known for the general case. Indeed, the resolution of the TSP would settle the P versus NP problem and fetch a $1,000,000 prize from the Clay Mathematics Institute.

94. THE TRAVELING-SALESMAN PROBLEM AND MINIMUM SPANNING TREES. File Format PDF/Adobe Acrobat Quick View http://www.cse.wustl.edu/~chen/7102/Karp-TSP.pdf

95. A GENERALIZATION OF THE CONVEX-HULL-AND-LINE TRAVELING SALESMAN File Format PDF/Adobe Acrobat Quick View http://www.emis.de/journals/HOA/JAMDS/2/2177.pdf

96. A New Heuristic Algorithm For The Classical Symmetric Traveling File Format PDF/Adobe Acrobat Quick View http://www.waset.org/journals/waset/v27/v27-48.pdf

97. [inria-00455193, V1] The Traveling Salesman Problem Under Squared File Format PDF/Adobe Acrobat Quick View http://www.win.tue.nl/~mdberg/Papers/2010/bnsww-tspse-10.pdf

98. HAL - INRIA :: [inria-00455193, Version 1] The Traveling Salesman Problem Under by M De Berg 2010 - Related articles http://hal.inria.fr/inria-00455193/fr/

Accueil S'authentifier S'inscrire Consulter ... HalTools : gérer ses identités version française english version inria-00455193, version 1 BibTeX EndNote TEI RefWorks Communications avec acte MarkDe Berg Department of Mathematics and Computer Science NL Technische Universiteit Eindhoven FredVan Nijnatten Department of Mathematics and Computer Science NL Technische Universiteit Eindhoven ReneSitters Faculty of Economics and Business Administration, NL Vrije Universiteit Amsterdam GerhardJ. Woeginger Department of Mathematics and Computer Science NL Technische Universiteit Eindhoven AlexanderWolff Lehrstuhl für Informatik I DE Universität Würzburg The Traveling Salesman Problem Under Squared Euclidean Distances27th International Symposium on Theoretical Aspects of Computer Science - STACS 2010NancyFrance2010239-250http://hal.inria.fr/inria-00455193/en/http://hal.inria.fr/inria-00455193/PDF/deberg.pdf The Traveling Salesman Problem Under Squared Euclidean Distances Mark De Berg Auteur à contacter de préférence Fred Van Nijnatten Rene Sitters Gerhard J. Woeginger

99. Continuous Line Drawings Via The Traveling Salesman Problem File Format PDF/Adobe Acrobat Quick View http://www.oberlin.edu/math/faculty/bosch/tspart.pdf

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