Title
Dominator Colorings of Certain Cartesian Products of Paths and Cycles.
Abstract
A dominator coloring of a graph G is a proper coloring of G with the additional property that every vertex dominates an entire color class. The dominator chromatic number $$\\chi _d(G)$$¿d(G) of G is the minimum number of colors among all dominator colorings of G. In this paper, we determine the dominator chromatic numbers of Cartesian product graphs $$P_2 \\square P_n$$P2¿Pn and $$P_2 \\square C_n$$P2¿Cn.
Year
DOI
Venue
2017
10.1007/s00373-016-1742-7
Graphs and Combinatorics
Keywords
Field
DocType
Dominator coloring, Dominator chromatic number, Cartesian product
Topology,Graph,Discrete mathematics,Combinatorics,Vertex (geometry),Chromatic scale,Cartesian product,Dominator,Mathematics
Journal
Volume
Issue
ISSN
33
1
1435-5914
Citations 
PageRank 
References 
0
0.34
3
Authors
3
Name
Order
Citations
PageRank
Qin Chen101.01
Chengye Zhao200.34
Min Zhao3215.73