Graph Theory37 sections · 1633 units
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Edge Cases for SCC Problems

(Self-loops and single nodes)

Self-loops (edges from a node to itself, like vvv \to v) do not affect SCC structure. Node vv is still in the same SCC with or without the self-loop. Single isolated nodes with no incoming or outgoing edges form SCCs of size 11.

Every node belongs to exactly one SCC, even if it is alone. Make sure your SCC algorithm handles edge cases: graphs with n=1n = 1, graphs with m=0m = 0 (no edges), and graphs where all nodes are isolated.