K_3,3

Other names:    utility graph       F006A       torus-h-0-2   

Statistics

It has degree 3, with 6 vertices and 9 edges.
It has girth 4, diameter 2 and radius 2.
Its symmetry group has 72 elements.
It is bipartite.
It is Hamiltonian.
It is symmetric.
It is 3-arc-transitive.
Its distance-list is 1,3,2.

Link

http://en.wikipedia.org/wiki/Utility_graph

Regular maps

K_3,3 is the skeleton of {6,3}_(0,2)
K_3,3 is the skeleton of C5:{4,6} with muliplicity 2
K_3,3 is the skeleton of S4:{6,6}2,3 with muliplicity 2
K_3,3 is the skeleton of S7:{6,9}ch with muliplicity 3
K_3,3 is the skeleton of R10.20′ with muliplicity 3
K_3,3 is the skeleton of S7:{6,9} with muliplicity 3
K_3,3 is the skeleton of R10.18 with muliplicity 4
K_3,3 is the skeleton of R13.16 with muliplicity 4
K_3,3 is the skeleton of R13.12 with muliplicity 5
K_3,3 is the skeleton of R19.31′ with muliplicity 5
K_3,3 is the skeleton of R16.9 with muliplicity 6
K_3,3 is the skeleton of C16.1 with muliplicity 6
K_3,3 is the skeleton of R22.15′ with muliplicity 6
K_3,3 is the skeleton of R28.34′ with muliplicity 7
K_3,3 is the skeleton of R19.21 with muliplicity 7
K_3,3 is the skeleton of R31.17 with muliplicity 8
K_3,3 is the skeleton of R22.10 with muliplicity 8
K_3,3 is the skeleton of R28.30 with muliplicity 8
K_3,3 is the skeleton of R31.20′ with muliplicity 8
K_3,3 is the skeleton of R37.50′ with muliplicity 9
K_3,3 is the skeleton of C25.3 with muliplicity 9
K_3,3 is the skeleton of R25.24 with muliplicity 9
K_3,3 is the skeleton of R40.19 with muliplicity 10
K_3,3 is the skeleton of R28.22 with muliplicity 10
K_3,3 is the skeleton of R46.34′ with muliplicity 11
K_3,3 is the skeleton of R31.13 with muliplicity 11
K_3,3 is the skeleton of R43.21 with muliplicity 12
K_3,3 is the skeleton of R49.103′ with muliplicity 12
K_3,3 is the skeleton of C43.9 with muliplicity 12
K_3,3 is the skeleton of R34.9 with muliplicity 12
K_3,3 is the skeleton of R46.32 with muliplicity 12
K_3,3 is the skeleton of C34.1 with muliplicity 12
K_3,3 is the skeleton of R55.52′ with muliplicity 13
K_3,3 is the skeleton of R37.33 with muliplicity 13
K_3,3 is the skeleton of R58.14 with muliplicity 14
K_3,3 is the skeleton of R40.7 with muliplicity 14
K_3,3 is the skeleton of C61.16 with muliplicity 15
K_3,3 is the skeleton of R43.12 with muliplicity 15
K_3,3 is the skeleton of R58.12 with muliplicity 15
K_3,3 is the skeleton of C43.8 with muliplicity 15
K_3,3 is the skeleton of R61.30 with muliplicity 15
K_3,3 is the skeleton of R64.39′ with muliplicity 15
K_3,3 is the skeleton of R67.17′ with muliplicity 16
K_3,3 is the skeleton of R67.18′ with muliplicity 16
K_3,3 is the skeleton of R46.24 with muliplicity 16
K_3,3 is the skeleton of R58.10 with muliplicity 16
K_3,3 is the skeleton of R73.116′ with muliplicity 17
K_3,3 is the skeleton of R49.55 with muliplicity 17
K_3,3 is the skeleton of R76.31 with muliplicity 18
K_3,3 is the skeleton of C52.1 with muliplicity 18
K_3,3 is the skeleton of R52.7 with muliplicity 18
K_3,3 is the skeleton of R55.30 with muliplicity 19
K_3,3 is the skeleton of R82.78′ with muliplicity 19
K_3,3 is the skeleton of R73.102 with muliplicity 20
K_3,3 is the skeleton of R85.70 with muliplicity 20
K_3,3 is the skeleton of R82.76 with muliplicity 20
K_3,3 is the skeleton of R58.4 with muliplicity 20
K_3,3 is the skeleton of R82.73 with muliplicity 21
K_3,3 is the skeleton of C61.9 with muliplicity 21
K_3,3 is the skeleton of R88.17 with muliplicity 21
K_3,3 is the skeleton of C88.5 with muliplicity 21
K_3,3 is the skeleton of R91.67′ with muliplicity 21
K_3,3 is the skeleton of R61.20 with muliplicity 21
K_3,3 is the skeleton of R94.21′ with muliplicity 22
K_3,3 is the skeleton of R64.20 with muliplicity 22
K_3,3 is the skeleton of R100.49′ with muliplicity 23
K_3,3 is the skeleton of R67.7 with muliplicity 23
K_3,3 is the skeleton of R97.176 with muliplicity 24
K_3,3 is the skeleton of R88.9 with muliplicity 24
K_3,3 is the skeleton of C97.22 with muliplicity 24
K_3,3 is the skeleton of C88.2 with muliplicity 24
K_3,3 is the skeleton of C97.23 with muliplicity 24
K_3,3 is the skeleton of C70.1 with muliplicity 24
K_3,3 is the skeleton of R97.174 with muliplicity 24
K_3,3 is the skeleton of R70.5 with muliplicity 24
K_3,3 is the skeleton of R100.45 with muliplicity 24
K_3,3 is the skeleton of R94.14 with muliplicity 24
K_3,3 is the skeleton of R73.65 with muliplicity 25
K_3,3 is the skeleton of R76.15 with muliplicity 26
K_3,3 is the skeleton of R79.5 with muliplicity 27
K_3,3 is the skeleton of C79.10 with muliplicity 27
K_3,3 is the skeleton of R82.48 with muliplicity 28
K_3,3 is the skeleton of R85.39 with muliplicity 29
K_3,3 is the skeleton of C88.1 with muliplicity 30
K_3,3 is the skeleton of R88.4 with muliplicity 30
K_3,3 is the skeleton of R91.34 with muliplicity 31
K_3,3 is the skeleton of R94.6 with muliplicity 32
K_3,3 is the skeleton of R97.88 with muliplicity 33
K_3,3 is the skeleton of C97.16 with muliplicity 33
K_3,3 is the skeleton of R100.21 with muliplicity 34

For copyright details of Wikipedia image see   Biclique_K_3_3.svg.

Lists of Graphs
Index to Regular Maps