From: A new multi-level algorithm for balanced partition problem on large scale directed graphs
Graph | Number of Parts | Type of Matching | Unbalanced Ratio | Max Load | ||
---|---|---|---|---|---|---|
 |  |  | Average | Maximum | Average | Maximum |
Grid-1 | 100 | RMRM | 1.05% | 1.36% | 1399118 | 1400935 |
 |  | RMWM | 0.36% | 0.50% | 1386662 | 1387988 |
 | 1000 | RMRM | 1.85% | 2.25% | 145745 | 146006 |
 |  | RMWM | 0.99% | 1.27% | 145043 | 145334 |
Grid-2 | 1000 | RMRM | 1.53% | 1.74% | 1527649 | 1531943 |
 |  | RMWM | 0.75% | 0.93% | 1511836 | 1514495 |
 | 10000 | RMRM | 2.47% | 2.72% | 159246 | 159435 |
 |  | RMWM | 1.34% | 1.68% | 158101 | 158297 |
MDual | 100 | RMRM | 0.89% | 0.98% | 380119 | 380562 |
 |  | RMWM | 0.67% | 1.07% | 379111 | 379689 |
 | 1000 | RMRM | 1.71% | 2.07% | 41004 | 41056 |
 |  | RMWM | 1.49% | 1.89% | 40911 | 41028 |
FEM-1 | 100 | RMRM | 0.89% | 1.20% | 760856 | 761381 |
 |  | RMWM | 0.27% | 0.40% | 758603 | 758951 |
 | 1000 | RMRM | 1.63% | 2.08% | 79113 | 79222 |
 |  | RMWM | 1.22% | 1.41% | 78978 | 79050 |
FEM-3 | 1000 | RMRM | 1.28% | 1.37% | 568638 | 568961 |
 |  | RMWM | 0.73% | 1.01% | 567277 | 568502 |
 | 10000 | RMRM | 2.11% | 2.30% | 60369 | 60473 |
 |  | RMWM | 1.60% | 2.07% | 60203 | 60358 |