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Mathematicians Located.pdf

Edmonds-Johnson-chinese-postman.pdf
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🔗 Source: web.eecs.umich.edu
📊 Size: 1.8 MB
📄 Pages: 37 pages
⬇️ Downloads: 155

Summary

The Chinese postman problem is to find the shortest tour that traverses each edge of a graph at least once. It can be solved by finding integers xe > 0 for every edge e such that the sum of the lengths of the edges is minimized, subject to the condition that the sum of (1 + xe) for the edges meeting each node is even. This problem can be separated into two parts: finding optimum xe and then finding an Euler tour in the resulting graph. The matching algorithm can be used to find optimum xe, and the convex hull of integer solutions is described as a linear programming polyhedron. The algorithm is a specialization of the b-matching blossom algorithm, and it provides a good solution to the Chinese postman problem.

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Description

The Chinese postman problem is to find the shortest tour that traverses each edge of a graph at least once.

Technical Information

  • File Format: PDF
  • File Size: 1.8 MB
  • Pages: 37
  • Language: EN
  • Total Downloads: 155
  • Last Updated: 2 hours ago

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