Combinatorics / CONCEPT
Dyadic Depth and Zero Positions
A position has zero Sprague–Grundy value precisely when an even number of heaps attain its least dyadic valuation.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES5
PROOF DEPTH2
DOCUMENT LINKS0
Subtracting at a lower valuation
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
- Bounds from a Distinguished Heaptruth-dependency · Closed
- Distinguished Heaps Two and Fourtruth-dependency · Closed
- Finite mex block propagationtruth-dependency · Closed
- Paired Dyadic Removalstruth-dependency · Closed
- The maximum number of strongly complementary permutation matricestruth-dependency · Closed
RELATED KNOWLEDGE
Structural connections
- A counterexample to the printed CRIM formulastructural-affinity · Closed
- A nonheavy partition below a heavy rectanglestructural-affinity · Closed
- Bounds from a Distinguished Heapstructural-affinity · Closed
- Distinguished Heaps Two and Fourstructural-affinity · Closed
- Distinguished-Heap Recurrence Estimatesstructural-affinity · Closed
- Divisor Nim and Minimum Excluded Valuesstructural-affinity · Closed
- Finite mex block propagationstructural-affinity · Closed
- Paired Dyadic Removalsstructural-affinity · Closed
- Splythoff Nim: all Grundy values in every row and columnstructural-affinity · Closed
- Stabilization of Nested Mex Mapsstructural-affinity · Closed
- The Boundary Counterexample to CRIM Conjecture 2structural-affinity · Closed
- The Distinguished Heap Eightstructural-affinity · Closed
- The maximum number of strongly complementary permutation matricesstructural-affinity · Closed
- The Yang-Baxter cellular automata over F_{2^n} have period dividing 2^nstructural-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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