Combinatorics / CONCEPT
Decomposing Padovan Cycle Words
Circular avoidance determines the lower arc and supports recovery of the rooted word.
Closed
DIRECT PREREQUISITES6
DIRECT CONSEQUENCES2
PROOF DEPTH4
DOCUMENT LINKS1
Forced lower arc
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
- Low-Arc Insertiontruth-dependency · Closed
- Pattern Constraints on Cycle Arcstruth-dependency · Closed
- Pattern Occurrences in Padovan Wordstruth-dependency · Closed
- Rotations and Circular Subwordstruth-dependency · Closed
- Separated Permutation Blockstruth-dependency · Closed
- Triples in Separated Blockstruth-dependency · Closed
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Four-Branch Decompositionstructural-affinity · Closed
- Insertion Branches for Padovan Wordsstructural-affinity · Closed
- Low-Arc Insertionstructural-affinity · Closed
- One-Line Avoidance Under Insertionstructural-affinity · Closed
- Padovan Counting Recurrencestructural-affinity · Closed
- Pattern Constraints on Cycle Arcsstructural-affinity · Closed
- Pattern Occurrences in Padovan Wordsstructural-affinity · Closed
- Recovering a Cyclic Permutationstructural-affinity · Closed
- Rooted Cycle-Word Classesstructural-affinity · Closed
- Rotations and Circular Subwordsstructural-affinity · Closed
- Separated Permutation Blocksstructural-affinity · Closed
- Structure of Admissible Cycle Wordsstructural-affinity · Closed
- Successors After Low-Arc Insertionstructural-affinity · Closed
- Successors of Padovan Cycle Wordsstructural-affinity · Closed
- Triples in Separated Blocksstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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