All open problems
Source labels openChecked July 26, 2026
Monochromatic quantum graphs (inherited vertex colorings)
For and , does there exist no solution to the monochromatic quantum graph equation system over ?
Mathematical statement
For and , does there exist no solution to the monochromatic quantum graph equation system over ?
Statement source: Papers statement material
Statement terms: Source-specific
Source-specific terms. Therefore does not assert reuse rights beyond attributed display.
Statement artifacts, not proofs
These records expose exact Lean propositions and statement-only wrappers. Defining a proposition does not supply a proof of it. A placeholder-bearing target also contains no proof. Elaboration checks syntax and types; it does not certify that a formalization perfectly captures every nuance of the informal problem.
Pinned Lean formulation 1
eqSystem10_no_solution_d9
Complete statement target, proof intentionally absentLean 4
theorem eqSystem10_no_solution_d9 : answer(sorry) ↔ ¬ ∃ W : WeightsN 10 9 ℂ, EqSystemN 10 9 W := by sorry- Statement source
- Formal Conjectures
- Lean version
- v4.27.0
- Placeholder
- Present; no proof artifact
- Source evidence
- Pinned source index
- Fidelity review
- Community formulation
References
Pinned Formal Conjectures sourceformalizationVertex coloring inherited from perfect matchings (motivated by quantum physics)backgroundQuestions on the Structure of Perfect Matchings inspired by Quantum PhysicsbackgroundEdge-coloured graphs with only monochromatic perfect matchings and their connection to quantum physicsbackground