Difference between revisions of "Template:Graph families defined by their automorphisms"
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<tr><td style="vertical-align:middle;">[[Cayley graph]]</td><td></td><td>[[Skew-symmetric graph|skew-symmetric]]</td><td></td><td>[[Asymmetric graph|asymmetric]]</td></tr> | <tr><td style="vertical-align:middle;">[[Cayley graph]]</td><td></td><td>[[Skew-symmetric graph|skew-symmetric]]</td><td></td><td>[[Asymmetric graph|asymmetric]]</td></tr> | ||
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Revision as of 21:58, 30 July 2013
| Graph families defined by their automorphisms | ||||
| distance-transitive | <math>\rightarrow</math> | distance-regular | <math>\leftarrow</math> | strongly regular |
| <math>\downarrow</math> | ||||
| symmetric (arc-transitive) | <math>\leftarrow</math> | t-transitive, t ≥ 2 | ||
| <math>\downarrow</math>(if connected) | ||||
| vertex- and edge-transitive | <math>\rightarrow</math> | edge-transitive and regular | <math>\rightarrow</math> | edge-transitive |
| <math>\downarrow</math> | <math>\downarrow</math> | <math>\downarrow</math> | ||
| vertex-transitive | <math>\rightarrow</math> | regular | <math>\rightarrow</math> | (if bipartite) biregular |
| <math>\uparrow</math> | ||||
| Cayley graph | skew-symmetric | asymmetric | ||