FA-11734 / Graph algorithm invariants / Member archive
Articulation detection compares against one component in a disconnected graph · case 04
Articulation detection compares against one component in a disconnected graph.
Case contract
Return sorted articulation vertices of an undirected loopless graph. A vertex qualifies only when its deletion and deletion of its incident edges increases the total connected-component count.
Why this case matters
A deterministic in-memory graph model isolates this invariant; no large-graph performance or production graph engine behavior is claimed.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| two disjoint edges plus isolate | [40, 41, 42, 43, 44] | [] | Failed |
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