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

Advances in Aerodynamics

Table 3 The Experimental Result on Randomized Stability

Graph	Number of Parts	Unbalanced Ratio			Max Load			Running Time (s)
		Best	Average	Worst	Best	Average	Worst	Fastest	Average	Slowest
Grid-1	100	0.21%	0.36%	0.50%	1385641	1386662	1387988	2.000	2.022	2.060
	1000	0.75%	0.99%	1.27%	144901	145043	145334	2.590	2.603	2.640
Grid-2	1000	0.51%	0.75%	0.93%	1497731	1511836	1514495	30.700	30.764	30.820
	10000	1.12%	1.34%	1.68%	155626	158101	158297	36.880	37.009	37.120
MDual	100	0.44%	0.67%	1.07%	378740	379111	379689	0.560	0.585	0.630
	1000	1.21%	1.49%	1.89%	40825	40911	41028	0.860	0.873	0.900
FEM-1	100	0.13%	0.27%	0.40%	758180	758603	758951	0.320	0.326	0.360
	1000	1.01%	1.22%	1.41%	78916	78978	79050	0.500	0.506	0.540
FEM-3	1000	0.59%	0.73%	1.01%	561436	567277	568502	13.840	13.896	13.960
	10000	1.38%	1.60%	2.07%	59135	60203	60358	17.140	17.240	17.370