2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152886This report contains expository notes about a function $\vartheta(G)$ that is popularly known as the Lovász number of a graph~$G$. There are many ways to define $\vartheta(G)$, and the surprising variety of different characterizations indicates in itself that $\vartheta(G)$ should be interesting. But the most interesting property of $\vartheta(G)$ is probably the fact that it can be computed efficiently, although it lies ``sandwiched'' between other classic graph numbers whose computation is NP-hard. I~have tried to make these notes self-contained so that they might serve as an elementary introduction to the growing literature on Lovász's fascinating function.Combinatoricstext