Power domination in certain chemical structures

Journal article

Stephen, Sudeep, Rajan, Bharati, Ryan, Joe, Grigorious, Cyriac and William, Albert. (2015). Power domination in certain chemical structures. Journal of Discrete Algorithms (Amsterdam). 33, pp. 10-18. https://doi.org/10.1016/j.jda.2014.12.003
AuthorsStephen, Sudeep, Rajan, Bharati, Ryan, Joe, Grigorious, Cyriac and William, Albert
Abstract

Let G(V , E) be a simple connected graph. A set S ⊆ V is a power dominating set (PDS) of G, if every vertex and every edge in the system is observed following the observation rules of power system monitoring. The minimum cardinality of a PDS of a graph G is the power domination number ϓp (G). In this paper, we establish a fundamental result that would provide a lower bound for the power domination number of a graph. Further, we solve the power domination problem in polyphenylene dendrimers, Rhenium Trioxide (ReO3) lattices and silicate networks.

KeywordsPower domination ; Polyphenylene dendrimers; ReO 3 lattices; Silicate networks
Year01 Jan 2015
JournalJournal of Discrete Algorithms (Amsterdam)
Journal citation33, pp. 10-18
PublisherAcademic Press (Elsevier)
ISSN1570-8667
Digital Object Identifier (DOI)https://doi.org/10.1016/j.jda.2014.12.003
Web address (URL)https://www.sciencedirect.com/science/article/pii/S1570866714000963?via%3Dihub
Research or scholarlyResearch
Page range10-18
Publisher's version
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All rights reserved
File Access Level
Controlled
Output statusPublished
Publication dates
Online16 Dec 2014
Print10 Jun 2015
Publication process dates
Deposited21 May 2024
Additional information

©2014 Elsevier B.V. All rights reserved.

Place of publicationNetherlands
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