Combinatorics / CONCEPT
The unique proper interval of an odd extra
For h at least one, E(h) is a permutation of size 2h + 1 in C and is not simple. Its only proper nontrivial interval is its prefix of length 2h, whose values are the integers from two through 2h + 1.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH4
DOCUMENT LINKS1
The unique proper interval of an odd extra
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
- A cut into decreasing chainsstructural-affinity · Closed
- An exhausted lower chainstructural-affinity · Closed
- Classification of a terminal crossing gapstructural-affinity · Closed
- Intervals and simplicity in the terminal familiesstructural-affinity · Closed
- Intervals when the maximum is secondstructural-affinity · Closed
- Simple members of Dstructural-affinity · Closed
- Simplicity of the parallel familystructural-affinity · Closed
- The alternating prefix before the minimumstructural-affinity · Closed
- The two value regions below a second-position maximumstructural-affinity · Closed
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