Difference between revisions of "Template:Graph families defined by their automorphisms"

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imported>David Eppstein
(biregular)
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<tr><td style="vertical-align:middle;">[[half-transitive graph|vertex- and edge-transitive]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[semi-symmetric graph|edge-transitive and regular]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[edge-transitive graph|edge-transitive]]</td></tr>
 
<tr><td style="vertical-align:middle;">[[half-transitive graph|vertex- and edge-transitive]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[semi-symmetric graph|edge-transitive and regular]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[edge-transitive graph|edge-transitive]]</td></tr>
 
<tr><td><math>\downarrow</math></td><td></td><td><math>\downarrow</math></td><td></td><td><math>\downarrow</math></td></tr>
 
<tr><td><math>\downarrow</math></td><td></td><td><math>\downarrow</math></td><td></td><td><math>\downarrow</math></td></tr>
<tr><td style="vertical-align:middle;">[[vertex-transitive graph|vertex-transitive]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[regular graph|regular]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[biregular graph|biregular]]</td></tr>
+
<tr><td style="vertical-align:middle;">[[vertex-transitive graph|vertex-transitive]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;">[[regular graph|regular]]</td><td style="vertical-align:middle;"><math>\rightarrow</math></td><td style="vertical-align:middle;"><sub>(if&nbsp;bipartite)</sub><br/>[[biregular graph|biregular]]</td></tr>
 
<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>

Revision as of 08:47, 19 June 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

uk:Шаблон:Види графів за їхніми автоморфізмами