Mathematical Programming

, Volume 5, Issue 1, pp 88-124

First online:

Matching, Euler tours and the Chinese postman

  • Jack EdmondsAffiliated withUniversity of Waterloo
  • , Ellis L. JohnsonAffiliated withIBM Watson Research Center

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The solution of the Chinese postman problem using matching theory is given. The convex hull of integer solutions is described as a linear programming polyhedron. This polyhedron is used to show that a good algorithm gives an optimum solution. The algorithm is a specialization of the more generalb-matching blossom algorithm. Algorithms for finding Euler tours and related problems are also discussed.