Combinatorics / CONCEPT
Uniform signed graph coefficient estimate
For each forward-degree bound D and coefficient index k, the signed rank-state polynomial of every connected simple graph with that ordered degree bound differs from the negative-binomial comparison coefficient by at most C(D,k)(e+1)^(k−1). The constant is independent of the graph and carrier size. No forest equality, cyclic-state count, or term estimate is assumed: the proof consumes the graph-derived fixed-rank count and term bounds in CyclicRankEstimate.
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DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
Actual cyclic contribution
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Proof dependencyStructural affinityDocument link
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RELATED KNOWLEDGE
Structural connections
- A Rank-Three Protocol Beyond Balanced Deletionstructural-affinity · Closed
- Binary Simple Graph Cycle Spacesstructural-affinity · Closed
- Boolean Tasks and the Complete Rank-Three Odd Fiberstructural-affinity · Closed
- Edge Connectivity and Binary Gradient Decodingstructural-affinity · Closed
- Edge Connectivity and Binary Gradient Weightstructural-affinity · Closed
- Exact Boolean Budgets at Low Cycle Rankstructural-affinity · Closed
- Graph rank states and cyclic embedding countsstructural-affinity · Closed
- ModuleCat Homology of a Binary Graph Cycle Spacestructural-affinity · Closed
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