K4

Other names:    tetrahedron       F004A       demicube(3)   


K<sub>4</sub> diagram, © Wikipedia

Statistics

It has degree 3, with 4 vertices and 6 edges.
It has girth 3, diameter 1 and radius 1.
Its symmetry group has 24 elements.
It is not bipartite.
It is Hamiltonian.
It is symmetric.
It is 2-arc-transitive.
Its distance-list is 1,3.

Regular maps

K4 is the skeleton of the tetrahedron
K4 is the skeleton of the hemicube
K4 is the skeleton of {3,6}(2,2) with muliplicity 2
K4 is the skeleton of S3:{6,6} with muliplicity 2
K4 is the skeleton of N4:{4,6}6 with muliplicity 2
K4 is the skeleton of N4:{4,6}3 with muliplicity 2
K4 is the skeleton of S6:{9,9} with muliplicity 3
K4 is the skeleton of N7:{4,9} with muliplicity 3
K4 is the skeleton of S3:{3,12} with muliplicity 4
K4 is the skeleton of N10.2 with muliplicity 4
K4 is the skeleton of N10.3 with muliplicity 4
K4 is the skeleton of N16.7 with muliplicity 4
K4 is the skeleton of N16.8 with muliplicity 4
K4 is the skeleton of S7:{6,12} with muliplicity 4
K4 is the skeleton of R9.26 with muliplicity 4
K4 is the skeleton of R9.27 with muliplicity 4
K4 is the skeleton of N13.1 with muliplicity 5
K4 is the skeleton of R12.8 with muliplicity 5
K4 is the skeleton of N16.3 with muliplicity 6
K4 is the skeleton of N16.4 with muliplicity 6
K4 is the skeleton of R13.14 with muliplicity 6
K4 is the skeleton of R15.18 with muliplicity 6
K4 is the skeleton of N19.1 with muliplicity 7
K4 is the skeleton of R18.10 with muliplicity 7
K4 is the skeleton of N22.1 with muliplicity 8
K4 is the skeleton of N22.2 with muliplicity 8
K4 is the skeleton of N34.6 with muliplicity 8
K4 is the skeleton of N34.7 with muliplicity 8
K4 is the skeleton of R21.32 with muliplicity 8
K4 is the skeleton of R21.33 with muliplicity 8
K4 is the skeleton of R21.34 with muliplicity 8
K4 is the skeleton of R21.35 with muliplicity 8
K4 is the skeleton of N25.1 with muliplicity 9
K4 is the skeleton of R24.13 with muliplicity 9
K4 is the skeleton of N28.1 with muliplicity 10
K4 is the skeleton of N28.2 with muliplicity 10
K4 is the skeleton of R25.31 with muliplicity 10
K4 is the skeleton of R27.13 with muliplicity 10
K4 is the skeleton of N31.1 with muliplicity 11
K4 is the skeleton of R30.10 with muliplicity 11
K4 is the skeleton of N34.3 with muliplicity 12
K4 is the skeleton of N34.4 with muliplicity 12
K4 is the skeleton of N52.6 with muliplicity 12
K4 is the skeleton of N52.7 with muliplicity 12
K4 is the skeleton of R27.10 with muliplicity 12
K4 is the skeleton of R31.16 with muliplicity 12
K4 is the skeleton of R33.78 with muliplicity 12
K4 is the skeleton of R33.79 with muliplicity 12
K4 is the skeleton of N37.2 with muliplicity 13
K4 is the skeleton of R36.26 with muliplicity 13
K4 is the skeleton of N40.1 with muliplicity 14
K4 is the skeleton of N40.2 with muliplicity 14
K4 is the skeleton of R37.49 with muliplicity 14
K4 is the skeleton of R39.17 with muliplicity 14
K4 is the skeleton of N43.1 with muliplicity 15
K4 is the skeleton of R42.11 with muliplicity 15
K4 is the skeleton of N46.4 with muliplicity 16
K4 is the skeleton of N46.5 with muliplicity 16
K4 is the skeleton of N70.6 with muliplicity 16
K4 is the skeleton of N70.7 with muliplicity 16
K4 is the skeleton of R45.35 with muliplicity 16
K4 is the skeleton of R45.35′ with muliplicity 16
K4 is the skeleton of R45.36 with muliplicity 16
K4 is the skeleton of R45.37 with muliplicity 16
K4 is the skeleton of N49.1 with muliplicity 17
K4 is the skeleton of R48.14 with muliplicity 17
K4 is the skeleton of N52.1 with muliplicity 18
K4 is the skeleton of N52.2 with muliplicity 18
K4 is the skeleton of R49.100 with muliplicity 18
K4 is the skeleton of R51.30 with muliplicity 18
K4 is the skeleton of N55.1 with muliplicity 19
K4 is the skeleton of R54.16 with muliplicity 19
K4 is the skeleton of N58.4 with muliplicity 20
K4 is the skeleton of N58.5 with muliplicity 20
K4 is the skeleton of N88.3 with muliplicity 20
K4 is the skeleton of N88.4 with muliplicity 20
K4 is the skeleton of R51.26 with muliplicity 20
K4 is the skeleton of R55.51 with muliplicity 20
K4 is the skeleton of R57.67 with muliplicity 20
K4 is the skeleton of R57.68 with muliplicity 20
K4 is the skeleton of N61.1 with muliplicity 21
K4 is the skeleton of R60.16 with muliplicity 21
K4 is the skeleton of N64.1 with muliplicity 22
K4 is the skeleton of N64.2 with muliplicity 22
K4 is the skeleton of R61.31 with muliplicity 22
K4 is the skeleton of R63.21 with muliplicity 22
K4 is the skeleton of N67.1 with muliplicity 23
K4 is the skeleton of R66.20 with muliplicity 23
K4 is the skeleton of N70.2 with muliplicity 24
K4 is the skeleton of N70.3 with muliplicity 24
K4 is the skeleton of N106.17 with muliplicity 24
K4 is the skeleton of N106.18 with muliplicity 24
K4 is the skeleton of R69.43 with muliplicity 24
K4 is the skeleton of R69.44 with muliplicity 24
K4 is the skeleton of R69.45 with muliplicity 24
K4 is the skeleton of R69.46 with muliplicity 24
K4 is the skeleton of N73.1 with muliplicity 25
K4 is the skeleton of R72.19 with muliplicity 25
K4 is the skeleton of N76.1 with muliplicity 26
K4 is the skeleton of N76.2 with muliplicity 26
K4 is the skeleton of R73.110 with muliplicity 26
K4 is the skeleton of R75.26 with muliplicity 26
K4 is the skeleton of N79.1 with muliplicity 27
K4 is the skeleton of R78.20 with muliplicity 27
K4 is the skeleton of N82.6 with muliplicity 28
K4 is the skeleton of N82.7 with muliplicity 28
K4 is the skeleton of N124.3 with muliplicity 28
K4 is the skeleton of N124.4 with muliplicity 28
K4 is the skeleton of R75.15 with muliplicity 28
K4 is the skeleton of R79.17 with muliplicity 28
K4 is the skeleton of R81.175 with muliplicity 28
K4 is the skeleton of R81.176 with muliplicity 28
K4 is the skeleton of N85.1 with muliplicity 29
K4 is the skeleton of R84.17 with muliplicity 29
K4 is the skeleton of N88.1 with muliplicity 30
K4 is the skeleton of N88.2 with muliplicity 30
K4 is the skeleton of R85.69 with muliplicity 30
K4 is the skeleton of R87.14 with muliplicity 30
K4 is the skeleton of N91.1 with muliplicity 31
K4 is the skeleton of R90.17 with muliplicity 31
K4 is the skeleton of N94.1 with muliplicity 32
K4 is the skeleton of N94.2 with muliplicity 32
K4 is the skeleton of N142.18 with muliplicity 32
K4 is the skeleton of N142.19 with muliplicity 32
K4 is the skeleton of R93.27 with muliplicity 32
K4 is the skeleton of R93.27′ with muliplicity 32
K4 is the skeleton of R93.28 with muliplicity 32
K4 is the skeleton of R93.29 with muliplicity 32
K4 is the skeleton of N97.3 with muliplicity 33
K4 is the skeleton of R96.25 with muliplicity 33
K4 is the skeleton of R97.179 with muliplicity 34
K4 is the skeleton of R99.38 with muliplicity 34
K4 is the skeleton of N100.1 with muliplicity 34
K4 is the skeleton of N100.2 with muliplicity 34
K4 is the skeleton of N103.1 with muliplicity 35
K4 is the skeleton of N106.10 with muliplicity 36
K4 is the skeleton of N106.9 with muliplicity 36
K4 is the skeleton of N160.3 with muliplicity 36
K4 is the skeleton of N160.4 with muliplicity 36
K4 is the skeleton of R99.32 with muliplicity 36
K4 is the skeleton of N109.1 with muliplicity 37
K4 is the skeleton of N112.5 with muliplicity 38
K4 is the skeleton of N112.6 with muliplicity 38
K4 is the skeleton of N115.1 with muliplicity 39
K4 is the skeleton of N118.1 with muliplicity 40
K4 is the skeleton of N118.2 with muliplicity 40
K4 is the skeleton of N178.8 with muliplicity 40
K4 is the skeleton of N178.9 with muliplicity 40
K4 is the skeleton of N121.1 with muliplicity 41
K4 is the skeleton of N124.1 with muliplicity 42
K4 is the skeleton of N124.2 with muliplicity 42
K4 is the skeleton of N127.1 with muliplicity 43
K4 is the skeleton of N130.5 with muliplicity 44
K4 is the skeleton of N130.6 with muliplicity 44
K4 is the skeleton of N196.4 with muliplicity 44
K4 is the skeleton of N196.5 with muliplicity 44
K4 is the skeleton of N133.1 with muliplicity 45
K4 is the skeleton of N136.1 with muliplicity 46
K4 is the skeleton of N136.2 with muliplicity 46
K4 is the skeleton of N139.1 with muliplicity 47
K4 is the skeleton of N142.3 with muliplicity 48
K4 is the skeleton of N142.4 with muliplicity 48
K4 is the skeleton of N145.2 with muliplicity 49
K4 is the skeleton of N148.1 with muliplicity 50
K4 is the skeleton of N148.2 with muliplicity 50
K4 is the skeleton of N151.1 with muliplicity 51
K4 is the skeleton of N154.2 with muliplicity 52
K4 is the skeleton of N154.3 with muliplicity 52
K4 is the skeleton of N157.1 with muliplicity 53
K4 is the skeleton of N160.1 with muliplicity 54
K4 is the skeleton of N160.2 with muliplicity 54
K4 is the skeleton of N163.1 with muliplicity 55
K4 is the skeleton of N166.2 with muliplicity 56
K4 is the skeleton of N166.3 with muliplicity 56
K4 is the skeleton of N169.1 with muliplicity 57
K4 is the skeleton of N172.2 with muliplicity 58
K4 is the skeleton of N172.3 with muliplicity 58
K4 is the skeleton of N175.1 with muliplicity 59
K4 is the skeleton of N178.6 with muliplicity 60
K4 is the skeleton of N178.7 with muliplicity 60
K4 is the skeleton of N181.1 with muliplicity 61
K4 is the skeleton of N184.5 with muliplicity 62
K4 is the skeleton of N184.6 with muliplicity 62
K4 is the skeleton of N187.1 with muliplicity 63
K4 is the skeleton of N190.1 with muliplicity 64
K4 is the skeleton of N190.2 with muliplicity 64
K4 is the skeleton of N193.1 with muliplicity 65
K4 is the skeleton of N196.1 with muliplicity 66
K4 is the skeleton of N196.2 with muliplicity 66
K4 is the skeleton of N199.1 with muliplicity 67
K4 is the skeleton of N202.2 with muliplicity 68
K4 is the skeleton of N202.3 with muliplicity 68


For copyright details of Wikipedia image see   Complete_graph_K4.svg.


Lists of Graphs
Index to Regular Maps