Cubic \((m,n)\)-metacirculant graphs which are not Cayley graphs (Q1918554)
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: Cubic \((m,n)\)-metacirculant graphs which are not Cayley graphs |
scientific article; zbMATH DE number 906904
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Cubic \((m,n)\)-metacirculant graphs which are not Cayley graphs |
scientific article; zbMATH DE number 906904 |
Statements
Cubic \((m,n)\)-metacirculant graphs which are not Cayley graphs (English)
0 references
22 August 1996
0 references
Let \(G\) be a cubic \((m, n)\)-metacirculant graph. It is proved that \(G\) is not a Cayley graph if and only if \(G\) is the union of disjoint copies of a generalized Petersen graph \(P(d, k)\) with \(d> 2\) and \(k^2\equiv -1\pmod d\).
0 references
metacirculant graph
0 references
Cayley graph
0 references
Petersen graph
0 references
0.9343792
0 references
0 references
0.9145007
0 references
0.89502525
0 references
0.89263374
0 references
0.88417006
0 references
0.88353765
0 references
0.8779741
0 references
