On Roman, Global and Restrained Domination in Graphs

V. Zverovich; A. Poghosyan

doi:10.1007/s00373-010-0992-z

On Roman, Global and Restrained Domination in Graphs

V. Zverovich, A. Poghosyan

Department of Architecture & Civil Engineering

Research output: Contribution to journal › Article › peer-review

9 Citations (SciVal)

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.

Original language	English
Pages (from-to)	755-768
Number of pages	14
Journal	Graphs and Combinatorics
Volume	27
Issue number	5
Early online date	5 Nov 2010
DOIs	https://doi.org/10.1007/s00373-010-0992-z
Publication status	Published - 1 Sep 2011

Keywords

Global domination number
Graphs
Restrained domination number
Roman domination number

ASJC Scopus subject areas

Theoretical Computer Science
Discrete Mathematics and Combinatorics

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10.1007/s00373-010-0992-z

Cite this

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On Roman, Global and Restrained Domination in Graphs

Abstract

Keywords

ASJC Scopus subject areas

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