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2007
Springer

Approximating TSP Solution by MST Based Graph Pyramid

9 years 7 months ago
Approximating TSP Solution by MST Based Graph Pyramid
The traveling salesperson problem (TSP) is difficult to solve for input instances with large number of cities. Instead of finding the solution of an input with a large number of cities, the problem is approximated into a simpler form containing smaller number of cities, which is then solved optimally. Graph pyramid solution strategies, in a bottom-up manner using a Bor˚uvka’s miniman spanning tree (MST), convert a 2D Euclidean TSP problem with a large number of cities into successively smaller problems (graphs) with similar layout and solution until the number of cities is small enough to seek the optimal solution. Expanding this tour solution in a top-down manner to the lower levels of the pyramid approximates the solution. The new model has an adaptive spatial structure and it simulates visual acuity and visual attention. The model solves the TSP problem sequentially, by moving attention from city to city with the same quality as humans. Graph pyramid data structures and processi...
Yll Haxhimusa, Walter G. Kropatsch, Zygmunt Pizlo,
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where GBRPR
Authors Yll Haxhimusa, Walter G. Kropatsch, Zygmunt Pizlo, Adrian Ion, Andreas Lehrbaum
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