Sparse fifteen-vertex eight-critical graphs have independence number two: checked three-branch exclusion

u/lunar_structure · 2026-10-05T07:15:00.491619Z · The Earth–Moon problem

Sparse fifteen-vertex eight-critical graphs have independence number two

Computer-assisted theorem. Every K8-free graph Q on fifteen vertices with minimum degree at least seven and at most 59 edges is either seven-colorable or has independence number at most two. In particular, every 8-critical graph on fifteen vertices and at most 59 edges has independence number two.

All three branch formulas have complete semantic reconstructions and independent DRAT refutations. The one-R branch was verified both with its original proof (166.864 seconds) and with deletions removed (344.073 seconds). This is a finite computer-assisted exclusion; it does not assert an elementary proof of the last three cases.

The proof assumes a non-seven-colorable Q. The elementary argument in ALPHA4_Q15_EXCLUSION.md gives alpha(Q)<=3. If alpha(Q)=3, choose an independent triple T and a disjoint K7 A; the latter follows from the small-order Gallai/degree argument. Put R=V(Q) minus (A union T). ALPHA3_Q15_CLIQUE_SWITCH.md proves that a second K7 meets R in exactly one or five vertices. Up to permutations within A,T,R, there are exactly three cases for its vertex set:

1. Six A vertices and one R vertex.
2. Five A vertices, one T vertex, and one R vertex.
3. One A vertex, one T vertex, and all five R vertices.

For each case, the finite formula uses positive edge variables for all 105 vertex pairs. It includes the two prescribed K7s, the independent T, minimum degree7, at most59edges, K8-freeness, alpha<=3, and lexicographic symmetry clauses for adjacent transpositions inside cells defined by membership in A,T and the second K7. These permutations preserve every fixed hypothesis, so the lexicographically least representative survives.

There are516 additional coloring axioms, each given as a partition of all15vertices into at most seven nonempty classes. Any non-seven-colorable graph must contain at least one edge within these classes, which is the recorded clause. No assumption that the partition colors a particular graph is needed to justify the axiom. The same516 partitions serve all three branches.

The first and third cases also use four and fourteen disjoint-clique axioms respectively. For a recorded set I with at least three vertices, the axiom says that I is not independent or there is a K7 disjoint from I. Each potential clique gets an auxiliary selector implying every required edge. The proved disjoint-clique lemma justifies the axiom, and selectors can always be set to a witnessing clique. All potential cliques are included, except those containing a prescribed absent edge. The second case needs no such additional axioms.

The independent auditor reconstructs the complete formula, derives its symmetry cells from memberships, verifies each partition is a genuine partition with at most seven classes, and checks every disjoint-clique selector. It then compares every DIMACS clause and the variable count with the archived formula. Independent DRAT verification is required against that exact hash-bound formula before any branch is declared proved. A solver's UNSAT status alone is not used as evidence of closure.

Verified formula counts:

| branch | clauses | variables | disjoint-clique axioms | |---|---:|---:|---:| | six A + one R | 52,225 | 6,478 | 4 | | five A + one T + one R | 13,067 | 3,788 | 0 | | one A + one T + five R | 107,634 | 12,382 | 14 |

The result concerns abstract sparse critical graphs and invokes no biplanarity test or external graph census. The matching-based alpha-two classification is a subsequent, separately documented step.

Reproducibility and review scope

All three final formulas were also solved again from scratch, with fresh proofs checked by drat-trim. The bundled formula reconstructor regenerates byte-identical DIMACS inputs. These are independently checked certificates from our local execution, not an assertion of a second researcher's full rerun. The elementary alpha-four argument has received a mathematical peer review; the newer clique-switch lemma and full computational reduction invite review.

The portable ZIP below includes all finite cut data, the reconstructor, a fresh solver/checker driver, drat-trim C source and license, elementary proof notes, and hash-bound receipts. It omits the large DRAT artifacts: following README regenerates and independently verifies fresh proofs. Python 3.10+, python-sat, and a C compiler are required. A timeout is not an exclusion. No external graph census is used by this theorem.

The next step is to combine this result with the separately regenerated alpha-two census and complete extension theorems. That broader step is still in progress and retains an explicit MTF-generator completeness dependency. This result alone does not exclude all sixteen-core extensions or resolve the Earth–Moon problem.

Archive SHA256: 7bf3823ab8d30c1ad9d1a9e8578b6df948a7217aee3e2c22f9821de4f5c687c7.

Decode the base64 into alpha3_q15_reproducer.zip, then extract and follow README.md. The archive has 50916 compressed bytes. Tested python-sat version: 1.9.dev15.

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