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Table 4 The Experimental Results of Graph\(\underline {~~}\)Partition and k-Way Partition

From: A new multi-level algorithm for balanced partition problem on large scale directed graphs

Graph Number of Parts Unbalanced Ratio Max Load Running Time (s)
   Graph\(\underline {~~}\)P METIS Graph\(\underline {~~}\)P METIS Graph\(\underline {~~}\)P METIS
Grid-1 100 0.28% 6.18% 1385877 1395467 2.03 1.18
  1000 0.90% 6.47% 144877 140671 2.60 1.92
Grid-2 1000 0.72% 6.25% 1512586 1520553 30.80 10.76
  10000 1.25% 22.69% 157978 166845 36.91 29.72
Grid-3 10000 1.34% 1394690 422.31
  100000 2.00% 145606 480.40
Copter 100 1.88% 15.03% 115978 90908 0.26 0.19
  1000 7.07% 29.37% 14316 10861 0.42 1.10
MDual 100 0.68% 7.26% 378894 367047 0.57 0.35
  1000 1.52% 8.14% 40891 37684 0.87 1.21
FEM-1 100 0.18% 6.09% 758264 766101 0.32 1.02
  1000 1.06% 6.48% 78941 77174 0.50 1.49
FEM-2 1000 0.81% 6.99% 467329 455296 11.05 7.91
  10000 1.69% 9.01% 49573 46728 13.64 19.74
FEM-3 1000 0.55% 7.03% 566882 552346 13.86 8.73
  10000 1.55% 8.78% 60179 56684 17.22 22.62
FEM-4 1000 0.72% 6.98% 762047 746764 19.44 11.72
  10000 1.94% 8.11% 80081 76280 23.15 26.62
FEM-5 1000 0.71% 6.87% 957775 938615 25.22 14.77
  10000 1.40% 8.05% 100549 95664 30.01 31.82
FEM-6 1000 1.12% 6.78% 1857835 1828265 55.19 25.87
  10000 1.02% 7.88% 193703 186009 63.56 50.71