Combinatorics / CONCEPT
The graph energy game and an unbalanced bipartite obstruction
Complete bipartite graphs refute Shapley core membership for graph energy games.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
Refutation by K₂,₅₀
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- An infinite twin-free theta separating familystructural-affinity · Closed
- Good Eventstructural-affinity · Closed
- One Stepstructural-affinity · Closed
- Regular graph adjacency energy excludes 2k√2structural-affinity · Closed
- Step Inputsstructural-affinity · Closed
- Step Inputs2structural-affinity · Closed
- The order-one boundary of the cyclic SGB extensionstructural-affinity · Closed
- The triangle refutes Li–Guo Conjecture 2.22structural-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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