Difference between revisions of "Template:Graph families defined by their automorphisms"
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imported>Igor Yalovecky m |
imported>David Eppstein (noinclude) |
||
| Line 11: | Line 11: | ||
<tr><td><math>\uparrow</math></td><td></td><td></td></tr> | <tr><td><math>\uparrow</math></td><td></td><td></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> | <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> | ||
| − | </table> | + | </table><!-- |
| − | + | --><noinclude> | |
[[uk:Шаблон:Види графів за їхніми автоморфізмами]] | [[uk:Шаблон:Види графів за їхніми автоморфізмами]] | ||
| + | </noinclude> | ||
Revision as of 08:03, 10 March 2011
| 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> | |||
| vertex-transitive | <math>\rightarrow</math> | regular | ||
| <math>\uparrow</math> | ||||
| Cayley graph | skew-symmetric | asymmetric | ||