| Article ID: | iaor19891038 |
| Country: | Netherlands |
| Volume: | 8 |
| Issue: | 5 |
| Start Page Number: | 245 |
| End Page Number: | 249 |
| Publication Date: | Oct 1989 |
| Journal: | Operations Research Letters |
| Authors: | Barahona Francisco, Cunningham William H. |
Edmonds and Johnson proved an integrality property of optimal dual solutions of matching problems, under the assumption that all the edge-costs are even integers. It is shown that the same conclusion holds if the costs are integers whose sum around any cycle is even. This result is a consequence of a form of the matching algorithm.