What is the number of all possible orientations for an undirected graph? I think it must be $2^{|E|}$, because we have $|E|$ edges, each of them can have 2 choices for it's direction. Is it true?
2025-01-13 02:24:58.1736735098
Number of all possible orientations in a graph
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Yes, assuming that you don't have any loops (edges that have the same source and target). Depending on your definition of graph, these might be excluded already. The number of orientations is $2^n$, where $n$ is the number of non-loop edges.