[Rule] PARTITION to INTEGRAL FLOW WITH MULTIPLIERS

[isPANN]

[zazabap]

Issue Quality Check — Rule

Check	Result	Details
Usefulness	⚠️ Warn	Cannot assess — issue body is empty; neither "Partition" nor "Integral Flow with Multipliers" exist in the codebase
Non-trivial	❌ Fail	No reduction algorithm provided — issue body is entirely empty
Correctness	❌ Fail	No references cited — issue body is entirely empty
Well-written	❌ Fail	All required sections missing — issue body is entirely empty

Overall: 0 passed, 3 failed, 1 warning

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Usefulness

Neither the source problem ("Partition") nor the target problem ("Integral Flow with Multipliers") currently exist in the reduction graph. "Partition" is a classic NP-complete problem (Karp #20, GJ SP2), so adding it would be valuable. However, "Integral Flow with Multipliers" is not a standard well-known problem name, and without any description it is impossible to assess whether this reduction would be useful. Cannot make a determination without issue content.

Non-trivial

Fail. The issue body is completely empty. There is no reduction algorithm, no description of the construction, and no way to evaluate whether this involves genuine structural transformation or is trivial.

Correctness

Fail. The issue body is completely empty. No references are cited, no complexity claims are made, and no literature can be verified.

Well-written

Fail. The issue body is entirely empty. All required template sections are missing:

• Source
• Target
• Motivation
• Reference
• Reduction Algorithm
• Size Overhead
• Validation Method
• Example

The issue needs to be filled out using the [Rule] issue template before it can be reviewed.

Recommendations

• Fill in the issue body using the Rule issue template with all required sections.
• Clarify the exact definition of "Integral Flow with Multipliers" — this does not appear to be a standard problem name. If this is a known problem, provide a reference. If it requires a new model, file a separate [Model] issue first.
• Note that "Partition" is not yet implemented in the codebase, so a [Model] issue for Partition may also be needed.

[isPANN]

Closing: issue body was empty or incorrect (wrong content). Will re-create with correct content.