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Rovelli writes this in his book (Qunatum Gravity) about spin networks:

Given an oriented and ordered graph there is a finite disgrete group of maps that change its order or orientation and that can be obtained as a diffeomorphism.

A link is equipped the source and target functions. this give the orientation.

But what is the order he is talking about.

the paragraph is the 6.4 (Diff invariance)

thanks