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

Advances in Aerodynamics

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

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