Table1. Best results obtained by IE2COL in the above paper.
No. | Instances | Previous Best K | K(HE3COL) | Coloring Results |
01 | DSJC1000.1 | 20 | 20 | DSJC1000.1 |
02 | DSJC1000.5 | 83 | 83 | DSJC1000.5 |
03 | DSJC1000.9 | 222 | 222 | DSJC1000.9 |
04 | flat1000_50_0 | 50 | 50 | flat1000_50_0 |
05 | flat1000_60_0 | 60 | 60 | flat1000_60_0 |
06 | flat1000_76_0 | 82 | 81 | flat1000_76_0 |
07 | r1000.5 | 234 | 245 | r1000.5 |
08 | r1000.1c | 98 | 98 | r1000.1c |
09 | latin_sqr_10 | 97 | 98 | latin_sqr_10 |
10 | C2000.5 | 146 | 145 | C2000.5 |
11 | C2000.5 | 409 | 408 | C2000.9 |
12 | C4000.5 | 260 | 259 | C4000.5 |
13 | wap01 | 42 | 42 | wap01 |
14 | wap02 | 41 | 41 | wap02 |
15 | wap03 | 44 | 44 | wap03 |
16 | wap04 | 43 | 42 | wap04 |
17 | wap05 | 50 | 50 | wap05 |
18 | wap06 | 40 | 40 | wap06 |
19 | wap07 | 42 | 41 | wap07 |
20 | wap08 | 42 | 42 | wap08 |
Notes:
1. These instances are available at http://www.info.univ-angers.fr/pub/porumbel/graphs/index.html and http://mat.gsia.cmu.edu/COLOR02 , or can be provided on request to wu@info.univ-angers.fr or hust2007wu@gmail.com.
2. The format of the solution file is as follows:
c1 c2 ... cn
where ci (i=1,...,n) is the color of the ith vertex (n is the total number of vertices and ci={0,1,...,K-1}).