Linear clique-width and modular decomposition
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2026
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911468504481792 |
|---|---|
| author | Brignall, Robert Opler, Michal Vatter, Vincent |
| author_facet | Brignall, Robert Opler, Michal Vatter, Vincent |
| contents | A hereditary class of graphs has bounded clique-width if and only if its prime members do, but this lifting property fails for linear clique-width. We prove that a hereditary class has bounded linear clique-width if and only if its prime members do and it contains neither all quasi-threshold graphs nor all complements of quasi-threshold graphs. This generalizes a result of Brignall, Korpelainen, and Vatter, who established the result for cographs. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22089 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Linear clique-width and modular decomposition Brignall, Robert Opler, Michal Vatter, Vincent Combinatorics A hereditary class of graphs has bounded clique-width if and only if its prime members do, but this lifting property fails for linear clique-width. We prove that a hereditary class has bounded linear clique-width if and only if its prime members do and it contains neither all quasi-threshold graphs nor all complements of quasi-threshold graphs. This generalizes a result of Brignall, Korpelainen, and Vatter, who established the result for cographs. |
| title | Linear clique-width and modular decomposition |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2602.22089 |