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| Content Provider | ACM Digital Library |
|---|---|
| Author | Milanič, Martin Lozin, Vadim V. |
| Abstract | The class of fork-free graphs is an extension of claw-free graphs and their subclass of line graphs. The first polynomial-time solution to the maximum weight independent set problem in the class of line graphs, which is equivalent to the maximum matching problem in general graphs, has been proposed by Edmonds in 1965 and then extended to the entire class of claw-free graphs by Minty in 1980. Recently, Alekseev proposed a solution for the larger class of fork-free graphs, but only for the unweighted version of the problem, i.e. finding an independent set of maximum cardinality. In the present paper, we describe the first polynomial-time algorithm to solve the problem for weighted fork-free graphs. |
| Starting Page | 26 |
| Ending Page | 30 |
| Page Count | 5 |
| File Format | |
| ISBN | 0898716055 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2006-01-22 |
| Access Restriction | Subscribed |
| Subject Keyword | Independent set Polynomial-time algorithm |
| Content Type | Text |
| Resource Type | Article |
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