| graph family |
OEIS |
number of cliques |
| alternating group graph |
A308599 |
X, 2, 8, 45, 301, 2281, ... |
| Andrásfai graph |
A115067 |
4, 11, 21, 34, 50, 69, 91, ... |
 antelope graph |
A308600 |
2, 5, 10, 17, 34, 61, 98, ... |
| antiprism graph |
A017077 |
X, X, 27, 33, 41, 49, 57, 65, ... |
| Apollonian network |
A205248 |
16, 40, 112, 328, 976, 2920, ... |
| barbell graph |
A000079 |
X, X, 16, 32, 64, 128, 256, 512, ... |
 bishop graph |
A183156 |
2, 7, 22, 59, 142, 319, ... |
 black bishop graph |
A295909 |
2, 4, 14, 30, 82, 160, 386, ... |
book graph  |
A016897 |
9, 14, 19, 24, 29, 34, 39, 44, ... |
| Bruhat graph |
A139149 |
2, 4, 13, 61, 361, 2521, 20161, ... |
| centipede graph |
A008586 |
4, 8, 12, 16, 20, 24, 28, 32, 36, ... |
cocktail party graph  |
A000244 |
3, 9, 27, 81, 243, 729, 2187, ... |
complete graph  |
A000079 |
2, 4, 8, 16, 32, 64, 128, 256, ... |
complete bipartite graph  |
A000290 |
4, 9, 16, 25, 36, 49, 64, 81, 100, ... |
complete tripartite graph  |
A000578 |
8, 27, 64, 125, 216, 343, 512, ... |
 -crossed prism graph |
A017281 |
X, 21, 31, 41, 51, 61, 71, ... |
crown graph  |
A002061 |
X, X, 13, 21, 31, 43, 57, 73, 91, ... |
| cube-connected cycle graph |
A295926 |
X, X, 69, 161, 401, 961, 2241, 5121, ... |
cycle graph  |
A308602 |
X, X, 8, 9, 11, 13, 15, 17, 19, ... |
| dipyramidal graph |
A308603 |
X, X, 24, 27, 33, 39, 45, 51, 57, 63, ... |
empty graph  |
A000027 |
2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... |
| Fibonacci cube graph |
A291916 |
4, 6, 11, 19, 34, 60, 106, 186, ... |
 fiveleaper graph |
A308604 |
X, 4, 16, 25, 57, 129, 289, 641, 1409, ... |
| folded cube graph |
A295921 |
3, 15, 24, 56, ... |
| gear graph |
A016873 |
X, X, 17, 22, 27, 32, 37, 42, 47, 52, ... |
grid graph  |
A056105 |
2, 9, 22, 41, 66, 97, 134, 177, 226, 281, ... |
grid graph  |
A295907 |
2, 21, 82, 209, 426, 757, 1226, 1857, ... |
| halved cube graph |
A295922 |
2, 4, 16, 81, 393, 1777, ... |
| Hanoi graph |
A295911 |
8, 25, 76, 229, 688, ... |
| helm graph |
A016933 |
X, X, 22, 26, 32, 38, 44, 50, 56, ... |
hypercube graph  |
A132750 |
4, 9, 21, 49, 113, 257, 577, 1281, 2817, ... |
| Keller graph |
A295902 |
5, 57, 14833, 2290312801, ... |
 king graph |
A295906 |
2, 16, 50, 104, 178, 272, 386, ... |
 knight graph |
A295905 |
2, 5, 18, 41, 74, 117, 170, 233, 306, 389, ... |
ladder graph  |
A016897 |
4, 9, 14, 19, 24, 29, 34, 39, 44, 49, 54, ... |
ladder rung graph  |
A016777 |
4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, ... |
| Menger sponge graph |
A292209 |
45, 1073, 22977, ... |
Möbius ladder  |
A016861 |
X, X, 16, 21, 26, 31, 36, 41, 46, 51, ... |
| Mycielski graph |
A199109 |
2, 4, 11, 32, 95, 284, 851, 2552, 7655, ... |
odd graph  |
A295934 |
2, 8, 26, 106, 442, 1849, 7723, ... |
| pan graph |
A005408 |
X, X, 10, 11, 13, 15, 17, 19, 21, 23, ... |
path graph  |
A005843 |
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, ... |
path complement graph  |
A000045 |
2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ... |
| permutation star graph |
A139149 |
2, 4, 13, 61, 361, 2521, ... |
| polygon diagonal intersection graph |
A300524 |
X, X, 8, 18, 41, 80, 169, 250, ... |
prism graph  |
A016861 |
X, X, 18, 21, 26, 31, 36, 41, 46, 51, ... |
 queen graph |
A295903 |
2, 16, 94, 293, 742, 1642, 3458, 7087, ... |
rook graph  |
A288958 |
2, 9, 34, 105, 286, 721, 1730, ... |
rook complement graph  |
A002720 |
2, 7, 34, 209, 1546, 13327, 130922, ... |
| Sierpiński carpet graph |
A295932 |
17, 153, 1289, 10521, ... |
| Sierpiński sieve graph |
A295933 |
8, 20, 55, 160, 475, ... |
| Sierpiński tetrahedron graph |
A292537 |
6, 59, 227, 899, 3587, 14339, ... |
star graph  |
A005843 |
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, ... |
| sun graph |
A295904 |
X, X, 20, 32, 52, 88, 156, 288, 548, ... |
sunlet graph  |
A016813 |
X, X, 14, 17, 21, 25, 29, 33, 37, 41, 45, ... |
| tetrahedral graph |
A289837 |
X, X, X, X, X, 261, 757, 2003, 5035, ... |
torus grid graph  |
A056107 |
X, X, 34, 49, 76, 109, 148, 193, ... |
| transposition graph |
A308606 |
2, 4, 16, 97, 721, 6121, ... |
| triangular graph |
A290056 |
X, 2, 8, 27, 76, 192, 456, 1045, ... |
| triangular grid graph |
A242658 |
8, 20, 38, 62, 92, 128, 170, 218, ... |
triangular snake graph  |
A016789 |
2, X, 8, X, 14, X, 20, X, 26, X, 32, X, ... |
| web graph |
A016993 |
X, X, 24, 29, 36, 43, 50, 57, 64, 71, 78, ... |
wheel graph  |
A308607 |
X, X, X, 16, 18, 22, 26, 30, 34, 38, 42, 46, ... |
 white bishop graph |
A295910 |
X, 4, 9, 30, 61, 160, 301, 71, ... |
