Moving Clusters within a Memetic Algorithm for Graph Partitioning

Table 6

Comparison of GEFM and CMPA on 32-way partitioning.

Graph	Best known^1	GEFM [21]			CMPA
		Best^2	Ave^2	CPU^3 (Gen^4)	Best^2	Ave^2	CPU^3 (Gen^4)
G500.2.5	177	177	181.69	78.98 (1491)	177	180.82	74.30 (1382)
G500.05	623	624	630.47	162.26 (2197)	623	629.92	159.18 (2035)
G500.10	1573	1574	1581.94	300.83 (2364)	1572	1579.72	355.73 (2332)
G500.20	4034	4037	4045.06	681.53 (2565)	4035	4042.81	673.19 (2479)
G1000.2.5	312	313	320.99	335.79 (2798)	313	320.25	356.44 (2648)
G1000.05	1217	1208	1218.72	698.67 (3133)	1205	1216.89	738.06 (3203)
G1000.10	3360	3353	3367.31	1171.48 (3294)	3355	3366.08	1323.59 (3267)
G1000.20	7818	7817	7829.81	2012.78 (3475)	7815	7830.48	2363.69 (3342)
U500.05	109	112	116.39	138.29 (1640)	109	113.18	121.15 (1595)
U500.10	523	531	537.75	225.52 (1512)	526	531.84	166.26 (1222)
U500.20	1825	1831	1841.39	285.07 (1344)	1823	1831.88	299.47 (1197)
U500.40	5328	5364	5380.01	561.74 (1381)	5348	5369.83	523.15 (1331)
U1000.05	117	118	126.02	451.03 (3137)	115	123.49	464.35 (2967)
U1000.10	577	576	583.26	599.01 (2599)	571	578.16	743.50 (2603)
U1000.20	2367	2375	2396.33	798.77 (1963)	2373	2388.93	930.43 (1848)
U1000.40	7329	7399	7417.49	1421.78 (1634)	7382	7407.18	1493.10 (1573)

Best known values [20–22, 24, 33].
²Best and average results from 100 runs. Asterisked numbers are new best values.
³CPU seconds on a Pentium IV 2.8 GHz.
⁴Average number of generations from 100 runs.