Title
Strong Equality of Roman and Weak Roman Domination in Trees
Abstract
We provide a constructive characterization of the trees for which the Roman domination number strongly equals the weak Roman domination number, that is, for which every weak Roman dominating function of minimum weight is a Roman dominating function. Our characterization is based on five simple extension operations, and reveals several structural properties of these trees.
Year
DOI
Venue
2016
10.1016/j.dam.2016.03.004
Discrete Applied Mathematics
Keywords
Field
DocType
Roman domination,Weak Roman domination,Strong equality
Discrete mathematics,Simple extension,Combinatorics,Constructive,Minimum weight,Domination analysis,Mathematics
Journal
Volume
Issue
ISSN
208
C
0166-218X
Citations 
PageRank 
References 
1
0.41
0
Authors
3
Name
Order
Citations
PageRank
José D. Alvarado173.82
Simone Dantas211924.99
Dieter Rautenbach3946138.87