I understand that every directed 2-colored graph defines a cover for $S^1 \vee S^1$. But how would one go about showing the other direction, that $\textbf{every}$ cover of $S^1 \vee S^1$ is a directed 2-colored graph?
2026-03-29 04:02:35.1774756955
Covers of $S^1 \vee S^1$ are directed 2-colored graphs
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