On Roman, Global and Restrained Domination in Graphs
Combinatorics
2009-05-31 v2
Abstract
In this paper, we present new upper bounds for the global domination and Roman domination numbers and also prove that these results are asymptotically best possible. Moreover, we give upper bounds for the restrained domination and total restrained domination numbers for large classes of graphs, and show that, for almost all graphs, the restrained domination number is equal to the domination number, and the total restrained domination number is equal to the total domination number. A number of open problems are posed.
Keywords
Cite
@article{arxiv.0901.2862,
title = {On Roman, Global and Restrained Domination in Graphs},
author = {A. Poghosyan and V. Zverovich},
journal= {arXiv preprint arXiv:0901.2862},
year = {2009}
}
Comments
12 pages