Symmetric graphs of degree greater than 3

This list only contains a few graphs that happen to be in the database. It is very very far from complete, and may include some duplicates of degee 4.

141 graphs found

Name (link)degreevertices
K545
K2,2,246
K656
K767
K4,448
K2,2,2,268
K878
K3 × K349
K3,3,369
K989
K5 × K2410
cuboctahedron412
C4 × K3412
icosahedron512
K6 × K2512
K6,6612
K4,4,4812
13-circulant(1,5)413
Paley order-13 graph613
hemi-icosidodecahedron415
rectification of C5:{5,5}415
15-circulant(1,4)415
K5,5,51015
C4 □ C4416
Clebsch graph516
Shrikhande graph616
10-regular Clebsch graph1016
torus-s-4-1417
6-cycle × 3-cycle418
20-circulant(1,9)420
21-circulant(1,8)421
rectification of {3,6}(1,3)421
icosahedron × K2524
7-valent Klein graph724
24-cell824
torus-s-5-5425
rectification of {4,4}(3,2)426
rectification of C11:{6,6}427
rectification of {3,6}(3,3)427
Schläfli graph1627
28-circulant(1,13)428
rectification of C7.2428
rectification of the icosahedron430
rectification of C7:{4,6}430
rectification of S4:{5,5}430
rectification of C5:{4,5}430
rectification of N10.6430
rectification of {4,4}(4,0)432
5-cube532
rectification of {4,4}(4,1)434
rectification of {4,4}(3,3)436
rectification of {3,6}(0,4)436
rectification of C10.3436
rectification of S4:{4,6}436
rectification of {3,6}(2,4)439
rectification of S5:{5,5}440
rectification of {4,4}(4,2)440
rectification of C6:{4,5}440
rectification of N10.1448
rectification of R9.17448
rectification of {3,6}(4,4)448
rectification of S5:{4,6}448
rectification of S3:{3,8}448
rectification of N22.4448
rectification of R9.18448
rectification of {4,4}(4,3)450
rectification of {4,4}(5,0)450
Hoffman-Singleton graph750
rectification of {4,4}(5,1)452
rectification of R10.14454
rectification of C11:{4,6}454
rectification of R10.13454
rectification of C12.1455
rectification of C12.2455
Gewirtz graph1056
rectification of {3,6}(1,5)457
Perkel graph657
rectification of {4,4}(5,2)458
rectification of N22.3460
rectification of N12.2460
rectification of S4:{4,5}460
rectification of S6:{4,6}460
rectification of R11.5460
rectification of R9.16460
rectification of C12{4,6}5460
rectification of {3,6}(3,5)463
rectification of {4,4}(4,4)464
rectification of R9.6464
rectification of R9.5464
rectification of C18.1468
rectification of {4,4}(5,3)468
rectification of {4,4}(6,0)472
rectification of C19.2472
rectification of C10.2472
rectification of {4,4}(6,1)474
rectification of N37.5475
rectification of S6:{3,10}475
rectification of {3,6}(5,5)475
rectification of C27.7478
rectification of {4,4}(6,2)480
rectification of S5:{4,5}480
rectification of R9.14480
rectification of {3,6}(0,6)481
rectification of N29.2481
Brouwer-Haemers graph2081
rectification of {4,4}(5,4)482
rectification of {3,6}(2,6)484
rectification of N23.3484
rectification of N44.5484
rectification of S3:{3,7}484
rectification of N9.1484
rectification of N30.5484
rectification of N23.2484
rectification of N41.3484
rectification of N16.2484
rectification of N37.3484
rectification of R19.23484
rectification of N41.2484
rectification of N9.2484
rectification of R10.9484
rectification of N34.5484
rectification of {4,4}(6,3)490
rectification of N14.1490
rectification of {3,6}(4,6)493
rectification of R9.4496
rectification of R21.15496
rectification of S5:{3,8}496
rectification of R17.21496
rectification of C17.3496
rectification of R21.19496
rectification of R9.3496
rectification of R17.20496
rectification of R21.16496
rectification of R17.22496
rectification of {4,4}(7,0)498
rectification of R16.34100
rectification of C26.14100
rectification of {4,4}(7,1)4100
rectification of {4,4}(5,5)4100
Higman-Sims graph22100
Hall-Janko graph36100

Lists of Graphs
Index to Regular Maps