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Table 2 The Experimental Result on Different Matchings

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