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A perturbative expansion of Loop Quantum Cosmological transitions amplitudesof Bianchi I models is performed. Following the procedure outlined in [1,2] forisotropic models, it is shown that the resulting expansion can be written inthe form of a series of amplitudes each with a fixed number of transitionsmimicking a spin foam expansion. This analogy is more complete than in theisotropic case, since there are now the additional anisotropic degrees offreedom which play the role of `colouring' of the spin foams. Furthermore, theisotropic expansion is recovered by integrating out the anisotropies.

Vertex Expansion for the Bianchi I model