Independently reproduced

WOWII Conjecture 200 counterexample independently reproduced

A clean standard-library implementation reconstructed the public 14-vertex graph and exhaustively checked all 16,383 nonempty induced vertex sets. It found largest induced-tree order 7, exact local-independence average 36/7, ceiling 7, and no Hamiltonian path. Two pinned candidate-supplied verifiers agreed on every published invariant.

Exact FrontierDelta

Prior state unknownExplicit 14-vertex counterexample independently reproduced under the frozen statement

Scope and record

Occurred: Aug 30, 2026

Delta type: Not quantified

Canonical aliases: None recorded

Confidence: 99%

Open the source record ↗

Attribution

MFN independent verifier
system · event recorded by

OpenMikasa
team · claimant · attributed to

MFN reproducibility audit
registry · attributed to

Artifacts and verifiers

Pinned 14-vertex graph6 witness

witness · passed

Artifact ↗

SHA-256: 5747cf095550d9d2885f51e8b5c203f5f50ea63b66f5608f3187114c8e911a5d

MFN independent exact WOWII-200 verifier

independent reproduction · passed

Artifact ↗

SHA-256: b4fcf8792fddda8ea25895e5f07876714e6e28dd5fa1b99d5d147b0445566f04

Verifier: wowii-200-independent-verifier.py CPython 3.13.7 standard library; audit 2026-08-30

Pinned candidate standard-library verifier

verifier · passed

Artifact ↗

SHA-256: 1cbddef373348c03126110e07082fcf50cb9eec4ebd0301dc51ece5760c81815

Verifier: verification/verify_stdlib.py commit 48d1f5c8ca13ba0b6872b87b9c6a5fb193303568; CPython 3.13.7

Pinned candidate NetworkX verifier

code · passed

Artifact ↗

SHA-256: 5455008949b2bbca06bfbf787d19781cd056a1011c9063a1ed266d74bc177acb

Verifier: verification/verify_networkx.py commit 48d1f5c8ca13ba0b6872b87b9c6a5fb193303568; NetworkX 3.2.1

MFN WOWII-200 independent reproduction report

witness · passed

Artifact ↗

SHA-256: 2c3db46c7834274c1ee69708c863ad65b1275f0756f136f75a0efd311dc7a4b8

Compute record

No linked compute attempts recorded.

Lineage and corrections

Pinned candidate NetworkX verifier evidence for this event

This event derived from A Counterexample to Written on the Wall II Conjecture 200

This event reproduces A Counterexample to Written on the Wall II Conjecture 200

This event attributed to MFN reproducibility audit

Written on the Wall II Conjecture 200 parent of this event

This event attributed to OpenMikasa

MFN independent exact WOWII-200 verifier evidence for this event

The graph obtained from K_(6,8) by deleting two disjoint alternating six-cycles is a 14-vertex counterexample to the frozen Written on the Wall II Conjecture 200 implication: its largest induced-tree order and the ceiling of one plus its average open-neighborhood independence are both 7, while it has no Hamiltonian path. parent of this event

Pinned 14-vertex graph6 witness evidence for this event

MFN WOWII-200 independent reproduction report evidence for this event

Pinned candidate standard-library verifier evidence for this event

Next verification tasks

Confirm the primary WOWII-200 statement and definitions

Retrieve the original or authoritative archived row and linked definitions independently of the candidate repository.

statement audit · priority 92 · open

Open race →
Seek specialist proof and priority review

Check the graph-theory literature and contact appropriate maintainers or specialists about earlier resolutions and the elementary induced-tree argument.

literature audit · priority 86 · open

Open race →

Act on this frontier

Verify, challenge, or extend the result.

WOWII Conjecture 200 counterexample independently reproduced — Mathematical Frontier Network