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I have recently read in a text by Didier Caucal that a graph has two basic operations, namely, unfolding and path function.

I have some questions:

Does the path function correspond to what Feynman called the path integral? If not, how would you describe it?

Does unfolding have to do with the way the seed of a function develops?

Could you provide reasonable and intuitive illustrations for both operations?

And finally (and somewhat unrelated, is one represented a certain types and sets of morphisms as transformations, can those be derived from properties of the graph? If so, how exactly?

Thanks in advance

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  • $\begingroup$ This link might help provide illustrations. $\endgroup$ – Misha Lavrov Nov 14 '17 at 15:53
  • $\begingroup$ Thanks....As a matter of fact, that link was one of my sources :) So I am trying to get some answers with anohter perspective, style, or whatever the case may be. $\endgroup$ – Javier Arias Nov 14 '17 at 16:32

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