Combinatorics / CONCEPT
Multigraph Contraction on Rational Cycles
Nonloop contraction of an edge-indexed directed multigraph preserves rational signed-incidence cycles by surviving-coordinate restriction.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
Endpoint fibers and the cycle equivalence
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Actual integer-cut rays and intrinsic finite beamsstructural-affinity · Closed
- Complete arbitrary-table criterionstructural-affinity · Closed
- Coordinates for actual fixed blocksstructural-affinity · Closed
- Directed support obstructions for nSSPstructural-affinity · Closed
- Extreme points of finite matroid intersectionstructural-affinity · Closed
- Integer Signed Incidence Boundaries are Totally Unimodularstructural-affinity · Closed
- Prescribed-word realizationstructural-affinity · Closed
- Signed boundaries of legal-word toggle graphsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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Browse the archiveCertified provenance