Combinatorics / CONCEPT
The Actual Disconnection Criterion
Disconnection of a balanced native choice is equivalent to actual activity of both roots and a root-separating edge coloring.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES2
PROOF DEPTH7
DOCUMENT LINKS0
Both roots must be active
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Absolute Successor Wordsstructural-affinity · Closed
- Actual Active Support of Zigzag Choicesstructural-affinity · Closed
- Actual Realization and Root Activitystructural-affinity · Closed
- Even Balanced-Choice Correspondencestructural-affinity · Closed
- Feldman's Balance-Only Conjecture 9.3structural-affinity · Closed
- Odd Balanced-Choice Correspondencestructural-affinity · Closed
- Recovering Balance and Labelsstructural-affinity · Closed
- Recovering Words from Actual Separationstructural-affinity · Closed
- The Second Labelled Sectorstructural-affinity · Closed
- The Two Native Disconnected Countsstructural-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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