Combinatorics / CONCEPT
Regular graph adjacency energy excludes 2k√2
The adjacency energy of a regular graph cannot equal 2k√2 for a positive integer k.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
The conjecture is proved
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
- The graph energy game and an unbalanced bipartite obstructionstructural-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
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