didericis/math-research
1
0
Fork 0
Code Issues Pull Requests Packages Projects Releases Wiki Activity

face_mono: extend Conjecture 5.26 to n_G ≤ 22

Browse Source 
Adds experiments/test_conj_5_26_n_21_22.py, a clause-4 checker that
re-uses find_all_36_witnesses + check_clause_4 from
check_conj_final_scaled.py and runs them on n = 21, 22 with
incremental JSONL output and a 10-minute PROGRESS heartbeat.

Results (139 min wall, single thread):
  n=21: 192 tri, 392,370 colourings w/ clause-1–3 witness, all pass
  n=22: 651 tri, 1,786,314 colourings w/ clause-1–3 witness, all pass
  total at n ≤ 22: 2,321,496 / 2,321,496 (combined with the existing
  142,812 at n ≤ 20 from check_conj_final_scaled.py)

Paper edits:
- Abstract: "|V(G)| ≤ 20 (142,812)" → "|V(G)| ≤ 22 (2,321,496)" for
  the strengthening; clauses-1–3 count unchanged at 535,182 / n ≤ 21.
- Intro paragraph: matching update.
- Remark rem:conj-3-8-empirical table: added n=21 and n=22 rows; new
  total ($n \le 22$) = 959 triangulations, 2,321,496 colourings.
- Updated script reference in that remark to point at
  check_conj_final_scaled.py + test_conj_5_26_n_21_22.py.

COMMENTARY.md summary table: Conjecture 5.26 row bumped to
2,321,496 / 2,321,496 (n ≤ 22).

Also commits the test_*_results.jsonl artifacts (with per-tri
records + n-summaries + grand summary) for reproducibility.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>
This commit is contained in:
didericis
2026-05-25 12:27:58 -04:00
parent d36c2513cc
commit 74030a5b8f
9 changed files with 2738 additions and 51 deletions
Download Patch File Download Diff File Expand all files Collapse all files
papers/face_monochromatic_pairs/paper.fdb_latexmk
+3 -3
View File
@@ -1,5 +1,5 @@
# Fdb version 3
["pdflatex"] 1779709018 "paper.tex" "paper.pdf" "paper" 1779709020
["pdflatex"] 1779726421 "paper.tex" "paper.pdf" "paper" 1779726423
"/usr/local/texlive/2022/texmf-dist/fonts/map/fontname/texfonts.map" 1577235249 3524 cb3e574dea2d1052e39280babc910dc8 ""
"/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmbsy5.tfm" 1246382020 1120 1e8878807317373affa7f7bba4cf2f6a ""
"/usr/local/texlive/2022/texmf-dist/fonts/tfm/public/amsfonts/cmextra/cmbsy6.tfm" 1246382020 1124 14ccf5552bc7f77ca02a8a402bea8bfb ""
@@ -102,8 +102,8 @@
"fig_reduced_dual_step4.png" 1779490218 107439 b30c7a68e32660f9bd3a8070bdb96944 ""
"fig_thm_cubic_contraction_4face.png" 1779643393 105384 e3682925308ddea06a4f986af1787249 ""
"figures/min-face-5-counterexample.png" 1779694886 192060 dd675ae50d32088d97ad647bc6394662 ""
"paper.aux" 1779709019 7946 e672ad7f0810ea6e729d0667882be5cf "pdflatex"
"paper.tex" 1779709010 79461 2e89fa9a4f2623b4fdf2f956828fe736 ""
"paper.aux" 1779726422 7946 38164e4e6701a73d430f1caa9857e53a "pdflatex"
"paper.tex" 1779726385 80516 3cdeee92fefe09fa5794bef1ddc2caf8 ""
(generated)
"paper.aux"
"paper.log"