A note on finding a shortest complete cycle in an undirected graph (Q1069451)
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scientific article; zbMATH DE number 3934805
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on finding a shortest complete cycle in an undirected graph |
scientific article; zbMATH DE number 3934805 |
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A note on finding a shortest complete cycle in an undirected graph (English)
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1986
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How to transform a shortest complete cycle problem into a traveling salesman problem is well known. Although these problems appear ill- conditioned, a 1-tree relaxation based traveling salesman algorithm solves them rather easily (up to 150 nodes), provided non-optimal edges are eliminated. The computational results are considerably better than known results for a linear programming approach.
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circuits
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edge elimination
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shortest complete cycle problem
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traveling salesman
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ill-conditioned
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1-tree relaxation
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computational results
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