Fourier / CONCEPT
Binary Simple Graph Cycle Spaces
Simple cycles determine binary edge labels, all vertex lifts, and every fundamental cycle basis.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES9
PROOF DEPTH1
DOCUMENT LINKS1
Closed walks are generated by simple cycles
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- A Rank-Three Protocol Beyond Balanced Deletiontruth-dependency · Closed
- Boolean Tasks and the Complete Rank-Three Odd Fibertruth-dependency · Closed
- Edge Connectivity and Binary Gradient Decodingtruth-dependency · Closed
- Edge Connectivity and Binary Gradient Weighttruth-dependency · Closed
- Exact Boolean Budgets at Low Cycle Ranktruth-dependency · Closed
- Finite Graph Probability Liftstruth-dependency · Closed
- Graph rank states and cyclic embedding countstruth-dependency · Closed
- GraphCutRegistrationTemplatestruth-dependency · Closed
- ModuleCat Homology of a Binary Graph Cycle Spacetruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A Rank-Three Protocol Beyond Balanced Deletionstructural-affinity · Closed
- Binary Character Code Dualitystructural-affinity · Closed
- Boolean Tasks and the Complete Rank-Three Odd Fiberstructural-affinity · Closed
- Edge Connectivity and Binary Gradient Decodingstructural-affinity · Closed
- Edge Connectivity and Binary Gradient Weightstructural-affinity · Closed
- Exact Boolean Budgets at Low Cycle Rankstructural-affinity · Closed
- Finite Graph Probability Liftsstructural-affinity · Closed
- Graph rank states and cyclic embedding countsstructural-affinity · Closed
- GraphCutRegistrationTemplatesstructural-affinity · Closed
- ModuleCat Homology of a Binary Graph Cycle Spacestructural-affinity · Closed
- Nikandish's subspace orthogonality clique numberstructural-affinity · Closed
- Nonradical lines preserve the full orthogonality graphstructural-affinity · Closed
- The fourteen-mode obstruction for parity Majorana codesstructural-affinity · Closed
- Uniform signed graph coefficient estimatestructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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