Edge-transitive strips (Q1191933)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Edge-transitive strips |
scientific article; zbMATH DE number 63146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Edge-transitive strips |
scientific article; zbMATH DE number 63146 |
Statements
Edge-transitive strips (English)
0 references
27 September 1992
0 references
A strip may be characterized as an infinite locally finite connected graph that admits an automorphism with finitely many orbits. The orbit structure of edge-transitive strips is investigated in detail. In particular, it is proved that all edge-transitive strips have all vertices of even valency. The main result of the paper is a deep theorem characterizing all the edge-transitive strips that are planar.
0 references
strip
0 references
infinite locally finite connected graph
0 references
edge-transitive strips
0 references
valency
0 references
0 references
0 references
0 references
0 references
0 references
0.7841864
0 references
