Combinatorics / CONCEPT
The Triangular Prism Refutes Pandey's Parity Conjecture
A Lean formalization of the earlier public refutation: the triangular prism has real-rooted independence polynomial 1+6X+6X^2 and odd step size.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES3
PROOF DEPTH1
DOCUMENT LINKS0
An odd-step real-rooted graph
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 counterexample to the multivariate hard-core occupancy boundstructural-affinity · Closed
- Actual real partition messagesstructural-affinity · Closed
- Columns and Cyclic Neighbor Shiftsstructural-affinity · Closed
- Concentrating two paths on the original bipartitionstructural-affinity · Closed
- Dissipative free-fermion roots in the upper half-planestructural-affinity · Closed
- External Boundary in P(n,3)structural-affinity · Closed
- Forts and Mask Completenessstructural-affinity · Closed
- GibbsOccupationstructural-affinity · Closed
- Independent-set partition and deletionstructural-affinity · Closed
- OccupationMomentsstructural-affinity · Closed
- Ordered partition recursionstructural-affinity · Closed
- PartitionRelabelingstructural-affinity · Closed
- Requests, Collisions, and Cyclic Gap Scoresstructural-affinity · Closed
- Rotation Preserves Adjacencystructural-affinity · Closed
- The Catalan functional on finite linear forestsstructural-affinity · Closed
- The Catalan functional on pathsstructural-affinity · Closed
Documents & exposition
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Other authored & advisory relationships
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LIBRARY / RELEASE VERSIONS
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