For graduate school placement, is Yale or Princeton generally better recognized by admissions committees?

The biggest practical tradeoff is not brand recognition, because Yale and Princeton are both exceptionally well known to graduate admissions committees, but the academic environment and opportunities you will use to build your record. Graduate programs care much more about your grades, research, recommendations, and intellectual fit than about a tiny difference in prestige between these two names. In most fields, admissions readers will treat Yale and Princeton as peers rather than giving one a meaningful built-in edge.

What will matter far more is where you can do serious work and get strong faculty support. For graduate school placement, a detailed letter from a professor who knows your research well, a strong thesis or independent project, and clear evidence that you took advantage of advanced opportunities will outweigh any slight perception gap between the two schools. Committees are very used to seeing excellent applicants from both campuses.

So if the question is whether one name alone tends to carry more weight, the honest answer is no, not in a way that should drive your choice. Between Yale and Princeton, pick based on where you expect to thrive academically, form closer faculty relationships, and build the strongest record, because that is what will actually shape your graduate school results.