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Determining elemental abundances of bulge stars can, via chemical evolutionmodeling, help to understand the formation and evolution of the bulge. Recentlythere have been claims both for and against the bulge having a different[$\alpha$/Fe] vs. [Fe/H]-trend as compared to the local thick disk possiblymeaning a faster, or at least different, formation time scale of the bulge ascompared to the local thick disk. We aim to determine the abundances of oxygen,magnesium, calcium, and titanium in a sample of 46 bulge K-giants, 35 of whichhave been analyzed for oxygen and magnesium in previous works, and compare themto homogeneously determined elemental abundances of a local disk sample of 291K-giants. We use spectral synthesis to determine both the stellar parameters aswell as the elemental abundances of the bulge stars analyzed here. The methodis exactly the same as was used for analyzing the comparison sample of 291local K-giants in Paper I of this series. Compared to the previous analysis ofthe 35 stars in our sample, we find lower [Mg/Fe] for [Fe/H]>-0.5, andtherefore contradict the conclusion about a declining [O/Mg] for increasing[Fe/H]. We instead see a constant [O/Mg] over all the observed [Fe/H] in thebulge. Furthermore, we find no evidence for a different behavior of thealpha-iron trends in the bulge as compared to the local thick disk from our twosamples.

Abundances of disk and bulge giants from hi-res optical spectra: II. O, Mg, Ca, and Ti in the bulge sample