trureturingGitHub MATHEMATICAL ATLAS

Combinatorics / CONCEPT

The unweighted fourth moment does not determine four-edge forest counts

Two trees have equal Laplacian characteristic polynomials, lower support counts and moments through degree four, but different four-edge path counts.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH1
DOCUMENT LINKS0
THEOREM

Fourth moment of the first tree

RELATIONSHIP ATLAS

Every connection, in context.

Explore in 3D
Direct recorded relationships
Support forests and edge-word reflectionSupport forests and edge-wordreflectionThe unweighted fourth moment does not determine four-edge forest countsThe unweighted fourth momentdoes not determine four-edgeforest counts
Proof dependencyStructural affinityDocument link

Certified topology / UPSTREAM

Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

RELATED KNOWLEDGE

Structural connections

Documents & exposition

None recorded in this release.

Other authored & advisory relationships

None recorded in this release.

LIBRARY / RELEASE VERSIONS

Content history

Loading release versions...
Browse the archive

Certified provenance

Exact release coordinate

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.