  The Sachdev-Ye-Kitaev (SYK) model is a model of $q$ interacting fermions.
Gross and Rosenhaus have proposed a generalization of the SYK model which
involves fermions with different flavors. In terms of Feynman graphs, those
flavors are reminiscent of the colors used in random tensor theory. This gives
us the opportunity to apply some modern, yet elementary, tools developed in the
context of random tensors to one particular instance of such colored SYK
models. We illustrate our method by identifying all diagrams which contribute
to the leading and next-to-leading orders of the 2-point and 4-point functions
in the large $N$ expansion, and argue that our method can be further applied if
necessary. In a second part we focus on the recently introduced Gurau-Witten
tensor model and also extract the leading and next-to-leading orders of the
2-point and 4-point functions. This analysis turns out to be remarkably more
involved than in the colored SYK model.
