A characterization of the weighted version of McEliece–Rodemich–Rumsey–Schrijver number based on convex quadratic programming
Abstract
For any graph Luz and Schrijver [A convex quadratic characterization of the Lovász theta number, SIAM J. Discrete Math.19(2) (2005) 382–387] introduced a characterization of the Lovász number based on convex quadratic programming. A similar characterization is now established for the weighted version of the number independently introduced by McEliece, Rodemich, and Rumsey [The Lovász bound and some generalizations, J. Combin. Inform. Syst. Sci.3 (1978) 134–152] and Schrijver [A Comparison of the Delsarte and Lovász bounds, IEEE Trans. Inform. Theory25(4) (1979) 425–429]. Also, a class of graphs for which the weighted version of coincides with the weighted stability number is characterized.
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