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The Vulnerability of Some Networks including Cycles via Domination Parameters
Joint Authors
Source
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-06-13
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Let G=(V(G),E(G)) be an undirected simple connected graph.
A network is usually represented by an undirected simple graph where vertices represent processors and edges represent links between processors.
Finding the vulnerability values of communication networks modeled by graphs is important for network designers.
The vulnerability value of a communication network shows the resistance of the network after the disruption of some centers or connection lines until a communication breakdown.
The domination number and its variations are the most important vulnerability parameters for network vulnerability.
Some variations of domination numbers are the 2-domination number, the bondage number, the reinforcement number, the average lower domination number, the average lower 2-domination number, and so forth.
In this paper, we study the vulnerability of cycles and related graphs, namely, fans, k-pyramids, and n-gon books, via domination parameters.
Then, exact solutions of the domination parameters are obtained for the above-mentioned graphs.
American Psychological Association (APA)
Turaci, Tufan& Aksan, Hüseyin. 2016. The Vulnerability of Some Networks including Cycles via Domination Parameters. Journal of Optimization،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1110147
Modern Language Association (MLA)
Turaci, Tufan& Aksan, Hüseyin. The Vulnerability of Some Networks including Cycles via Domination Parameters. Journal of Optimization No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1110147
American Medical Association (AMA)
Turaci, Tufan& Aksan, Hüseyin. The Vulnerability of Some Networks including Cycles via Domination Parameters. Journal of Optimization. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1110147
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1110147