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General Information
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2014Vol.4(5): 346-349 ISSN: 2010-3697
DOI: 10.7763/IJMO.2014.V4.398

Average Weakly Hyperedge Domination Number for a Hypergraph and Actor-Network Application

Mehmet Ali Balcı and Ömer Akgüller
Abstract—Communication through lines is supposed to be continuous in a network design. It is important for a network to be invulnerable that is communication is not interrupted in the case of any damage. In this paper, we introduce the concept of the average weakly hyperedge domination number (AWHEDN) of a hypergraph as a new vulnerability measure. The polynomial runtime of the presented algorithm and the boundary of this measure are also studied. Since information systems are operating in a social context, we need to represent acts of humans in security systems to obtain more consistent models. To achieve this goal, hypergraphs are more useful than simple graphs. In this study we consider the hypergraph model of an actor-network of a workplace, and then studied what kind of urgent changes shall be done in wi-fi connection in the case of the outer attack. The model with lesser AWHEDN number has the least communication possibility, hence it’s appropriate to choose that model as an urgent response.

Index Terms—Actor-network, hypergraphs, security systems modelling, vulnerability.

The authors are with Department of Mathematics, Mugla Sitki Kocman University, Mugla, Turkey (e-mail: {mehmetalibalci, oakguller}@mu.edu.tr)


Cite: Mehmet Ali Balcı and Ömer Akgüller, "Average Weakly Hyperedge Domination Number for a Hypergraph and Actor-Network Application," International Journal of Modeling and Optimization vol. 4, no. 5, pp. 346-349, 2014.

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