Title
A survey of stratified domination in graphs
Abstract
A graph G is 2-stratified if its vertex set is partitioned into two nonempty classes (each of which is a stratum or a color class). We color the vertices in one color class red and the other color class blue. Let F be a 2-stratified graph with one fixed blue vertex v specified. We say that F is rooted at v. The F-domination number of a graph G is the minimum number of red vertices of G in a red-blue coloring of the vertices of G such that for every blue vertex v of G, there is a copy of F in G rooted at v. In this paper, we survey recent results on the F-domination number for various 2-stratified graphs F.
Year
DOI
Venue
2009
10.1016/j.disc.2008.02.048
Discrete Mathematics
Keywords
Field
DocType
f -coloring,f-domination,domination,f -domination,stratification,f-coloring,domination number
Wheel graph,Discrete mathematics,Combinatorics,Bound graph,Fractional coloring,Graph power,Vertex (graph theory),Cycle graph,Neighbourhood (graph theory),Mathematics,Graph coloring
Journal
Volume
Issue
ISSN
309
19
Discrete Mathematics
Citations 
PageRank 
References 
1
0.38
11
Authors
3
Name
Order
Citations
PageRank
Teresa W. Haynes177494.22
Michael A. Henning21865246.94
Ping Zhang36014.50