Title
On 2-rainbow domination of generalized Petersen graphs
Abstract
Let γr2(G) be the 2-rainbow domination number of a graph G. In our work, we solve an open question for 2-rainbow domination number of general Petersen graphs P(n,k). In addition, we proved that γr2(P(n,k))=n for n≤12, γr2(P(n,1))=n for n≥5, and γr2(P(2k+2,k))=2k+2 for k≥2.
Year
DOI
Venue
2019
10.1016/j.dam.2018.10.027
Discrete Applied Mathematics
Keywords
Field
DocType
Rainbow domination,Generalized Petersen graph,Petersen graph,Graph domination
Graph,Discrete mathematics,Combinatorics,Generalized Petersen graph,Domination analysis,Rainbow,Mathematics
Journal
Volume
ISSN
Citations 
257
0166-218X
0
PageRank 
References 
Authors
0.34
10
7
Name
Order
Citations
PageRank
Zehui Shao111930.98
huiqin jiang233.83
Pu Wu382.22
Shao-hui Wang412619.62
Janez Žerovnik522325.71
Xiaosong Zhang69114.00
Jia-Bao Liu711021.86