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