Title
On the total coloring of generalized Petersen graphs
Abstract
We show that “almost all” generalized Petersen graphs have total chromatic number 4. More precisely: for each integer k≥2, there exists an integer N(k) such that, for any n≥N(k), the generalized Petersen graph G(n,k) has total chromatic number 4.
Year
DOI
Venue
2016
10.1016/j.disc.2015.12.010
Discrete Mathematics
Keywords
Field
DocType
Total coloring,Cubic graph,Generalized Petersen graph
Odd graph,Discrete mathematics,Edge coloring,Total coloring,Combinatorics,Generalized Petersen graph,Nowhere-zero flow,Brooks' theorem,Petersen family,Petersen graph,Mathematics
Journal
Volume
Issue
ISSN
339
5
0012-365X
Citations 
PageRank 
References 
2
0.43
10
Authors
6
Name
Order
Citations
PageRank
Simone Dantas111924.99
C.M.H. de Figueiredo2212.72
Giuseppe Mazzuoccolo33215.91
Myriam Preissmann419219.43
V. F. dos Santos531.25
D. Sasaki673.94