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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[[uk:Шаблон:Види графів за їхніми автоморфізмами]]
 
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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 graphskew-symmetricasymmetric