FA-11705 / Graph algorithm invariants / Member archive

Bipartite validation ignores an unvisited odd-cycle component · case 05

Bipartite validation ignores an unvisited odd-cycle component.

Member previewVariant 5 · 3 implementations · 8 checks per implementation

Case contract

Return whether the entire undirected graph is bipartite, including disconnected components. A self loop makes it nonbipartite; duplicate edges do not change the answer.

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
isolated first vertex before odd cycle	`true`	`false`	Failed

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