Assume we have directed graph $P = (V,A)$, where $V$ -is a countable set (so, it may be infinite) of vertices and $A$ is a set of arrows (edges). The question: are there countably many edges, i.e. if $A$ is at most countable set?
2026-02-22 23:28:17.1771802897
number of edges in infinite graph
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If $V$ is countable, so is $V \times V$. If there are no duplicates (more than one edge between two nodes, resp. more than two directed edges), $A$ will be countable.