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id
int64
0
30k
problem
stringclasses
3 values
n_nodes
int64
4
17
topo
stringclasses
5 values
adj
listlengths
4
17
x
listlengths
4
17
gamma
listlengths
1
1
beta
listlengths
1
1
ratio
float64
0.85
1
exact_value
float64
1
72
exact_solution
listlengths
4
17
0
MAX_CLIQUE
10
LOLLIPOP
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1
5
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MAXCUT
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LOLLIPOP
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MAXCUT
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WS
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MIS
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LOLLIPOP
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1
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MAX_CLIQUE
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ER
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1
3
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5
MIS
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LOLLIPOP
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1
5
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6
MAXCUT
8
BA
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0.858073
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7
MIS
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ER
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1
1
[ 1, 0, 0, 0, 0 ]
8
MAX_CLIQUE
7
LOLLIPOP
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[ 2.863959562 ]
[ 2.6636329997 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0 ]
9
MAX_CLIQUE
12
ER
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[ 2.9371754202 ]
[ -0.5408747282 ]
1
4
[ 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0 ]
10
MIS
8
LOLLIPOP
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3
[ 1, 0, 0, 0, 1, 0, 1, 0 ]
11
MIS
6
REG
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1
1
[ 1, 0, 0, 0, 0, 0 ]
12
MIS
13
LOLLIPOP
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[ 2.8850769083 ]
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1
5
[ 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1 ]
13
MAXCUT
4
ER
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
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0.924379
4
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14
MIS
12
WS
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[ 2.8623052323 ]
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1
4
[ 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0 ]
15
MAX_CLIQUE
10
LOLLIPOP
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1
5
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16
MAX_CLIQUE
14
REG
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[ 3.3526394686 ]
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1
4
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17
MAX_CLIQUE
8
LOLLIPOP
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1
4
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18
MAXCUT
4
WS
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
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[ 1.3250106647 ]
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0.924379
4
[ 1, 1, 0, 0 ]
19
MAXCUT
14
LOLLIPOP
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0.858996
19
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20
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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0.984202
6
[ 1, 1, 0, 0, 0 ]
21
MAXCUT
4
ER
[ [ 0, 1, 0, 1 ], [ 1, 0, 1, 1 ], [ 0, 1, 0, 0 ], [ 1, 1, 0, 0 ] ]
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0.904498
3
[ 0, 1, 0, 0 ]
22
MAXCUT
6
ER
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[ 3.3603026513 ]
[ 1.287600134 ]
0.898191
8
[ 1, 1, 0, 1, 0, 0 ]
23
MAXCUT
5
ER
[ [ 0, 1, 0, 1, 0 ], [ 1, 0, 1, 1, 1 ], [ 0, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 0 ], [ 0, 1, 1, 0, 0 ] ]
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0.894682
5
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24
MAX_CLIQUE
9
REG
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[ 2.8590822756 ]
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1
3
[ 1, 0, 1, 0, 0, 1, 0, 0, 0 ]
25
MAXCUT
11
ER
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[ 3.3019323432 ]
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0.868564
26
[ 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0 ]
26
MAX_CLIQUE
15
WS
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[ 0.1726438158 ]
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1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
27
MAXCUT
6
ER
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[ 2.7568572812 ]
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0.88853
5
[ 1, 1, 0, 1, 0, 0 ]
28
MAX_CLIQUE
7
REG
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[ 0.2915185868 ]
[ 2.6654384778 ]
1
3
[ 0, 1, 0, 0, 1, 1, 0 ]
29
MAX_CLIQUE
10
BA
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[ 2.9429384723 ]
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1
3
[ 1, 1, 0, 1, 0, 0, 0, 0, 0, 0 ]
30
MAXCUT
16
LOLLIPOP
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31
MAX_CLIQUE
16
BA
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4
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32
MIS
12
LOLLIPOP
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4
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33
MIS
12
LOLLIPOP
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[ 2.8895717334 ]
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1
4
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34
MAXCUT
9
WS
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[ -0.2400295135 ]
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0.862683
13
[ 1, 1, 0, 0, 0, 1, 1, 0, 0 ]
35
MAXCUT
4
WS
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 2.8958335897 ]
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0.924379
4
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36
MAX_CLIQUE
16
REG
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[ 3.2523676012 ]
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1
3
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37
MAX_CLIQUE
13
ER
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[ 3.3275310458 ]
[ 0.54687618 ]
1
4
[ 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0 ]
38
MAXCUT
4
REG
[ [ 0, 1, 1, 1 ], [ 1, 0, 1, 1 ], [ 1, 1, 0, 1 ], [ 1, 1, 1, 0 ] ]
[ [ 3, 1, 1, 0, 1, 0.25, 0.5, 0, 0.3333333333, 0.2222222222, 0.2592592593, 0.2469135802, 0.2510288066, 0.2496570645, 0.2501143118, 0.2499618961, 0.2500127013, 0.2499957662, 0.2500014113, 0.2499995296, 0.2500001568, 0.2499999477, ...
[ 1.3250883149 ]
[ 1.288322867 ]
0.924379
4
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39
MIS
6
WS
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[ 3.4249367493 ]
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1
2
[ 1, 0, 0, 1, 0, 0 ]
40
MAX_CLIQUE
6
BA
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[ 3.4411761562 ]
[ 0.4598552795 ]
1
2
[ 1, 1, 0, 0, 0, 0 ]
41
MAXCUT
17
ER
[ [ 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0 ], [ 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1 ], [ 1, 1, 0, 1, 0, 1, 1, 1, ...
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[ 2.9821371002 ]
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0.851754
48
[ 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0 ]
42
MIS
11
ER
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[ 3.3540615298 ]
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1
4
[ 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0 ]
43
MIS
10
WS
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[ 0.2785541507 ]
[ -0.4807970201 ]
1
3
[ 1, 0, 1, 0, 0, 1, 0, 0, 0, 0 ]
44
MAX_CLIQUE
13
LOLLIPOP
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[ -0.1376447375 ]
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1
6
[ 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0 ]
45
MAXCUT
7
ER
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[ 1.4093942867 ]
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0.986463
12
[ 1, 1, 1, 0, 0, 0, 0 ]
46
MIS
8
LOLLIPOP
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[ 2.7584081737 ]
[ 2.7140713122 ]
0.864155
3
[ 1, 0, 0, 0, 1, 0, 1, 0 ]
47
MAXCUT
9
WS
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[ 3.3779085383 ]
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0.856818
13
[ 1, 1, 0, 1, 0, 0, 1, 0, 0 ]
48
MIS
14
REG
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0.997142
6
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49
MIS
16
WS
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1
6
[ 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0 ]
50
MAXCUT
7
WS
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[ [ 4, 0.6666666667, 0.5, 0.0666666667, 0.75, 0.1428571429, 0.377964473, 0, 0.25, 0.09375, 0.171875, 0.126953125, 0.1518554688, 0.1378173828, 0.145690918, 0.1412658691, 0.1437511444, 0.1423549652, 0.1431392431, 0.1426986754, 0.1429461...
[ 3.3780016225 ]
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0.866716
10
[ 1, 1, 0, 0, 1, 0, 0 ]
51
MIS
15
BA
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[ 3.3379811868 ]
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1
7
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52
MIS
17
LOLLIPOP
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[ 2.9527554494 ]
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1
6
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53
MIS
14
REG
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[ 3.5642597089 ]
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1
5
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54
MIS
9
ER
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[ 2.9519615115 ]
[ -0.5360994786 ]
1
3
[ 0, 1, 0, 1, 0, 1, 0, 0, 0 ]
55
MAX_CLIQUE
6
LOLLIPOP
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[ 0.3508812328 ]
[ 2.6882524377 ]
0.853888
3
[ 1, 1, 1, 0, 0, 0 ]
56
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 3.3483648915 ]
[ 1.3055107974 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
57
MAXCUT
5
REG
[ [ 0, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1 ], [ 1, 1, 0, 1, 1 ], [ 1, 1, 1, 0, 1 ], [ 1, 1, 1, 1, 0 ] ]
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[ 0.2067313563 ]
[ 1.3054842408 ]
0.984202
6
[ 1, 1, 0, 0, 0 ]
58
MAX_CLIQUE
15
LOLLIPOP
[ [ 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ], [ 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, ...
[ [ 6, 0.4285714286, 1, 0, 0.28, 0.0715573303, 0.3757688734, 0, 0.1626984127, 0.1322751323, 0.1357237339, 0.1333249349, 0.1324791564, 0.1312878179, 0.1304506179, 0.1295072333, 0.128767278, 0.1279630734, 0.1272994843, 0.1265908551, 0.1...
[ 3.2617492304 ]
[ 0.6045859296 ]
1
7
[ 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0 ]
59
MAX_CLIQUE
9
REG
[ [ 0, 1, 0, 1, 0, 0, 0, 1, 1 ], [ 1, 0, 1, 1, 1, 0, 0, 0, 0 ], [ 0, 1, 0, 0, 0, 1, 1, 0, 1 ], [ 1, 1, 0, 0, 1, 0, 0, 1, 0 ], [ 0, 1, 0, 1, ...
[ [ 4, 0.5, 0.3333333333, 0.0833333333, 0.6666666667, 0.1111111111, 0.3333333333, 0, 0.25, 0.0625, 0.15625, 0.091796875, 0.1284179688, 0.1029052734, 0.1181030273, 0.1075363159, 0.1140003204, 0.1095471382, 0.1123187542, 0.1104283333, 0...
[ 2.8595996277 ]
[ 2.6596485028 ]
1
4
[ 0, 0, 1, 0, 0, 1, 1, 0, 1 ]
60
MAX_CLIQUE
17
WS
[ [ 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ], [ 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ], [ 1, 1, 0, 1, 1, 0, 0, 0, ...
[ [ 3, 0.1875, 0.3333333333, 0.0583333333, 0.4, 0.0471948381, 0.1356647402, 0, 0.25, 0.0416666667, 0.1319444444, 0.0503472222, 0.0884476273, 0.0511458333, 0.0679962445, 0.0498920368, 0.0574457278, 0.0483759117, 0.0517382017, 0.0471005058,...
[ -0.1383161335 ]
[ 0.8365405824 ]
1
3
[ 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
61
MAXCUT
9
ER
[ [ 0, 1, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 0, 1, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 0, 1, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 0, 1, 1, 1, 1, 1 ], [ 1, 1, 1, 1, ...
[ [ 8, 1, 1, 0, 1, 0.1111111111, 0.3333333333, 0, 0.125, 0.109375, 0.111328125, 0.1110839844, 0.111114502, 0.1111106873, 0.1111111641, 0.1111111045, 0.1111111119, 0.111111111, 0.1111111111, 0.1111111111, 0.1111111111, 0.1111111111...
[ 1.4355901412 ]
[ 1.7947978512 ]
0.989174
20
[ 1, 1, 1, 1, 0, 0, 0, 0, 0 ]
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