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The cages |
n(3,g) |
Range |
Number |
Reference |
|
|
(3,3)-cages |
4 |
4 |
1 |
K_4 |
|
|
(3,4)-cages |
6 |
6 |
1 |
K_3,3 |
|
|
(3,5)-cages |
10 |
10 |
1 |
Petersen |
|
|
(3,6)-cages |
14 |
14 |
1 |
Heawood |
|
|
(3,7)-cages |
22 |
24 |
1 |
McGee graph |
|
|
(3,8)-cages |
30 |
30 |
1 |
Tutte's 8-cage |
|
|
(3,9)-cages |
46 |
58 |
18 |
Brinkmann & al. |
|
|
(3,10)-cages |
62 |
70 |
3 |
O'Keefe/Wong |
|
|
(3,11)-cages |
94 |
112 |
1+ |
McKay/Myrvold |
|
|
(3,12)-cages |
126 |
126 |
1 |
Gener. hexagon |
|
|
(3,13)-cages |
190 |
202-272 |
1+ |
McKay/Myrvold-Ho. |
|
|
(3,14)-cages |
254 |
258-384 |
1+ |
McKay - Exoo |
|
|
(3,15)-cages |
382 |
384-620 |
1+ |
Biggs |
|
|
(3,16)-cages |
510 |
512-960 |
1+ |
Exoo (12-02) |
|
|
(3,17)-cages |
766 |
768-2408 |
1+ |
Exoo (12-02) |
|
|
(3,18)-cages |
1022 |
1024-2688 |
1+ |
Bray (01-03) |
|
|
(3,19)-cages |
1534 |
1536-4324 |
1+ |
H(47) |
|
|
(3,20)-cages |
2046 |
2048-6072 |
1+ |
Parker/Rowley (01-03) |
|
|
(3,21)-cages |
3070 |
3072-16112 |
1+ |
Biggs/Whitehead |
|
|
(3,22)-cages |
4094 |
4096-16206 |
1+ |
Whitehead S(73) |
|
|
(3,23)-cages |
6142 |
6144-49482 |
1+ |
Bray/Parker/Ro. |
|
|
(3,24)-cages |
8190 |
8192-49608 |
1+ |
Bray/Parker/Ro. |
|
|
(3,25)-cages |
12286 |
12288-109010 |
1+ |
Bray/Parker/Ro. |
|
|
(3,26)-cages |
16382 |
16384-109200 |
1+ |
Bray/Pa./Rowley |
|
|
(3,27)-cages |
24574 |
24576-285852 |
1+ |
Bray/Pa./Rowley |
|
|
(3,28)-cages |
32766 |
32768-415104 |
1+ |
Bray/Pa./Rowley |
|
|
(3,29)-cages |
49150 |
49152-1143408 |
1+ |
Bray/Pa./Rowley |
|
|
(3,30)-cages |
65534 |
65536-1227666 |
1+ |
Hoare S(313) |
|