AWhat changed
Munkres gives a constructive starred/primed-zero variant of Kuhn's assignment algorithm, proves finite termination without requiring integer costs and provides an explicit polynomial bound in the paper's line-operation model, then states a transportation generalization.
Scientific scope
Munkres gives a constructive starred/primed-zero variant of Kuhn's assignment algorithm, proves finite termination without requiring integer costs and provides an explicit polynomial bound in the paper's line-operation model, then states a transportation generalization. archival cover PDF 1 excluded from scientific evidence. Finite square linear assignment with independent one-per-row/column entries; initially integer costs, later integer assumption explicitly removed by bounded progress of covers/starred zeros. Polynomial bound counts whole-line scans/updates as specified operations, not unit-cost scalar instructions or a verified modern O(n^3) implementation. The exact operation-count coefficients and the complete cost-model derivation have not been independently verified here. Transportation section assumes nonnegative integer costs and positive integer supplies/demands with equal totals, provides an integral-quota procedure and omits detailed theoretical remarks. No complete transportation-proof reconstruction or extension to arbitrary real supplies, quadratic assignment, all network flows, bitcomplexity or empirical speedup is imported. Later algorithmic improvements and library implementations are separate; neither all optimal assignments nor unique optimality is claimed.
Evidence
Source-linked, scoped account of the original work. The published scope states the scientific assumptions and remaining verification limits. WRS has not independently certified the full proof, experimental result or system benchmark.
Contributors
- James Munkres · SCIENCE: Original source-listed scientific author of this scoped work; byline does not determine effort fractions.
Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.
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