Provide analysis on UUID v4 usage and O(N×R²) complexity in autoInversion

[Copilot]

Addresses feedback on PR #5622 requesting analysis of UUID implementation choice and algorithmic complexity of the auto-inversion middleware.

UUID v4 Analysis

Current implementation: Uses uuid.v4() to generate blank node identifiers (_:uuid) for JSON-LD graph nodes.

Assessment: Appropriate choice. Provides cryptographically random IDs without privacy leakage (unlike v1). No ordering requirements justify v7.

Alternative consideration: Counter-based IDs (_:b0, _:b1) would be simpler and more performant, common in JSON-LD processors, but current approach is acceptable.

autoInversion Complexity

O(N × R²) where:

• N = nodes being upserted
• R = avg relationships per node (hasPart/isPartOf)

Breakdown:

• Outer loop: O(N) over upserted nodes
• Per node: 4 relationship diff operations, each with O(R) nested iterations × O(R) array operations (filter/find)
• Worst case: Dense graph where R ≈ N → O(N³)
• Typical case: Sparse graph where R << N → O(N)

Quadratic R factor driven by nested array operations at lines 75 (filter inside loop at 70) and 121 (find inside loop at 119).

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[OEvgeny]

Good bot!