Journal article Open Access

Generalized Petersen Graphs and Kronecker Covers

Krnc, Matjaž; Pisanski, Tomaž

Abstract:

The family of generalised Petersen graphs G (n, k), introduced by Coxeter et al. [4] and named by Watkins (1969), is a family of cubic graphs formed by connecting the vertices of a regular polygon to the corresponding vertices of a star polygon. The Kronecker cover KC (G) of a simple undirected graph G is a special type of bipartite covering graph of G, isomorphic to the direct (tensor) product of G and K2. We characterize all generalised Petersen graphs that are Kronecker covers, and describe the structure of their respective quotients. We observe that some of such quotients are again generalised Petersen graphs, and describe all such pairs. The results of this paper have been presented at EUROCOMB 2019 and an extended abstract has been published elsewhere.

Files (668.0 kB)
Name Size
Krnc-Pisanski-CPGCK-DMTCS-final.pdf
md5:64e6097927d41a79ec8e2f75ef330d42
668.0 kB Download
11
7
views
downloads
All versions This version
Views 1111
Downloads 77
Data volume 4.7 MB4.7 MB
Unique views 1111
Unique downloads 66

Share

Cite as