Per the question title, I'm dealing with a number of directed graphs, all of which are 1-out regular, and figure that there is probably a name for such a thing. Unfortunately, all my search attempts have brought back results about biregular graphs, whereas I am looking for a term that does not constrain indegree.
2026-04-24 09:44:35.1777023875
Is there a name for a directed graph in which every vertex has outdegree one?
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This is called a directed 1-forest, functional graph, or maximal directed pseudoforest. See:
http://en.wikipedia.org/wiki/Pseudoforest