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Conflict coloring class assumption audit

Family 184: Correspondence coloring with a fixed forbidden subgraph. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Allocation researchers could assess whether a proven forbidden-subgraph correspondence-coloring bound is relevant to a restricted conflict graph.

Applicability and commercial boundary

Large-degree asymptotics, graph-specific constants and exact forbidden-subgraph conditions are not a universal resource allocation engine. Existence need not mean cheap construction.

Initial business decision

Research or conditional engineering only until an effective implementation and a recurring buyer problem are identified. No commercial demand or profitability is established. Where a direct product bridge is weak, the legitimate use is a research reference or evidence adapter, rather than a new standalone company.

Next verification action

Inspect explicit constants and algorithmic content for a practical forbidden pattern.

Evidence scope

The catalog statement was individually reviewed. The manuscript proof and selected formal statement have not yet been compared in depth for this family. No independent proof verification was run. Pinned source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Correspondence coloring graphs with a forbidden clique.