On the mixed Chinese postman problem
β Scribed by T.K. Ralphs
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 289 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0167-6377
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β¦ Synopsis
The mixed Chinese postman problem is a version of the well-known Chinese postman problem in which the underlying graph consists of both directed and undirected edges. We give an integer linear programming formulation for this problem and then show that the extreme points of its linear relaxation polyhedron are all half-integral.
π SIMILAR VOLUMES
The Rural Postman Problem (RPP), on an undirected network, is a classic edge-routing problem. The Crossing Postman Problem is a generalization which is introduced here. Results are presented on the structure of optimal solutions to both problems. A new formulation for RPP, based on these results, is
## Abstract Every 3βconnected planar, cubic, triangleβfree graph with __n__ vertices has a bipartite subgraph with at least 29__n__/24βββ7/6 edges. The constant 29/24 improves the previously best known constant 6/5 which was considered best possible because of the graph of the dodecahedron. Example