Template:Graph families defined by their automorphisms
Revision as of 05:06, 8 May 2014 by 67.252.103.23 (talk)
| Graph families defined by their automorphisms | ||||
| distance-transitive | <math>\boldsymbol{\rightarrow}</math> | distance-regular | <math>\boldsymbol{\leftarrow}</math> | strongly regular |
| <math>\boldsymbol{\downarrow}</math> | ||||
| symmetric (arc-transitive) | <math>\boldsymbol{\leftarrow}</math> | t-transitive, t ≥ 2 | ||
| <math>\boldsymbol{\downarrow}</math> | ||||
| (if connected) vertex- and edge-transitive | <math>\boldsymbol{\rightarrow}</math> | edge-transitive and regular | <math>\boldsymbol{\rightarrow}</math> | edge-transitive |
| <math>\boldsymbol{\downarrow}</math> | <math>\boldsymbol{\downarrow}</math> | <math>\boldsymbol{\downarrow}</math> | ||
| vertex-transitive | <math>\boldsymbol{\rightarrow}</math> | regular | <math>\boldsymbol{\rightarrow}</math> | (if bipartite) biregular |
| <math>\boldsymbol{\uparrow}</math> | ||||
| Cayley graph | skew-symmetric | asymmetric | ||