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EnglishWe deal with non-rank facets of the stable set polytope of claw-free graphs. We extend results of Giles and Trotter [7] by (i) showing that for any nonnegative integer a there exists a circulant graph whose stable set polytope has a facet-inducing inequality with (a,a+1)-valued coefficients (rank facets have only coefficients 0, 1), and (ii) providing new facets of the stable set polytope with up to five different non-zero coefficients for claw-free graphs. We prove that coefficients have to be consecutive in any facet with exactly two different non-zero coefficients (assuming they are relatively prime). Last but not least, we present a complete description of the stable set polytope for graphs with stability number 2, already observed by Cook [3] and Shepherd [18].
Liebling, T.M., Oriolo, G., Spille, B., & Stauffer, G. (2004). On non-rank facets of the stable set polytope of claw-free graphs and circulant graphs. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 59(1), 25-35.
| Tipologia: | Articolo su rivista |
| Citazione: | Liebling, T.M., Oriolo, G., Spille, B., & Stauffer, G. (2004). On non-rank facets of the stable set polytope of claw-free graphs and circulant graphs. MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 59(1), 25-35. |
| Lingua: | English |
| Settore Scientifico Disciplinare: | Settore MAT/09 - Ricerca Operativa |
| Revisione (peer review): | Sì, ma tipo non specificato |
| Tipo: | Articolo |
| Rilevanza: | Rilevanza internazionale |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1007/s001860300317 |
| Stato di pubblicazione: | Pubblicato |
| Data di pubblicazione: | 2004 |
| Titolo: | On non-rank facets of the stable set polytope of claw-free graphs and circulant graphs |
| Autori: | |
| Autori: | Liebling, TM; Oriolo, G; Spille, B; Stauffer, G |
| Appare nelle tipologie: | 01 - Articolo su rivista |
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http://hdl.handle.net/2108/39090
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