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http://hdl.handle.net/10773/15344| Title: | A characterization of the weighted version of McEliece-Rodemich-Rumsey-Schrijver number based on convex quadratic programming |
| Author: | Luz, Carlos J. |
| Keywords: | Lovász number McEliece–Rodemich–Rumsey–Schrijver number Maximum weight stable set Combinatorial optimization Graph theory Quadratic programming |
| Issue Date: | 31-Dec-2015 |
| Publisher: | World Scientific |
| Abstract: | For any graph $G,$ Luz and Schrijver \cite{LuzSchrijver} introduced a characterization of the Lov\'{a}sz number $\vartheta(G)$ based on convex quadratic programming. A similar characterization is now established for the weighted version of the number $\vartheta^{\prime}(G),$ independently introduced by McEliece, Rodemich, and Rumsey \cite{McElieceetal} and Schrijver \cite{Schrijver1}. Also, a class of graphs for which the weighted version of $\vartheta^{\prime}(G)$ coincides with the weighted stability number is characterized. |
| Peer review: | yes |
| URI: | http://hdl.handle.net/10773/15344 |
| DOI: | 10.1142/S1793830915500500 |
| ISSN: | 1793-8309 |
| Appears in Collections: | CIDMA - Artigos OGTCG - Artigos |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| ArtigoCJLuzDMMA2015.pdf | 271.74 kB | Adobe PDF | View/Open |
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