The Floyd-Warshall Algorithm, the AP and the TSP

Details The Floyd-Warshall Algorithm, the AP and the TSP The Floyd-Warshall Algorithm, the AP and the TSP

2001-11-29

arxiv.org/abs/math/0111309v1

Mathematics

Combinatorics

Text in Word 2000, math in MathType 4.0, sent in a PDF file written in Acrobat 5.0, 23 pages

Scientific paper

We use admissible permutations and a variant of the Floyd-Warshall algorithm
to obtain an optimal solution to the Assignment Problem. Using another variant
of the F-W algorithm, we obtain an approximate solution to the Traveling
Salesman Problem. We also give a sufficient condition for the approximate
solution to be an optimal solution.

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