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- Thomas Fevens, Alaa Eddien Abdallah, Tarek El Salti, Louisa Harutyunyan
- DIALM-POMC
- 2007

We introduce a generalization of the Yao graph where the cones used are adaptively centered on a set of nearest neighbors for each node, thus creating a directed or undirected spanning subgraph of a given unit disk graph (UDG). We also permit the apex of the cones to be positioned anywhere along the line segment between the node and its nearest neighbor,… (More)

- Louisa Harutyunyan
- Proceeding of IEEE International Symposium on a…
- 2014

A primary task in wireless sensor networks (WSNs) is for sensors to communicate collected data to a sink for analysis and processing. A single sink in the network can lead to high energy consumption and hence, a reduction of the network lifetime. Thus, to achieve a degree of fault tolerance we consider the problem, where the hop distance from every sensor… (More)

- Louisa Harutyunyan, Lata Narayanan
- 2012 IEEE 8th International Conference on…
- 2012

In wireless sensor networks connected dominating sets are often used to form a virtual backbone. However, a connected dominating set is often vulnerable due to frequent node failures in sensor networks. Hence, to provide a degree of fault-tolerance, we consider a 2-connected distance-k p-dominating set, denoted D<sub>2;k;p</sub>, as a virtual backbone for… (More)

- Louisa Harutyunyan
- ArXiv
- 2015

A subset S of a vertex set of a graphG is a total (k, r)-dominating set if every vertex u ∈ V (G) is within distance k of at least r vertices in S. The minimum cardinality among all total (k, r)-dominating sets ofG is called the total (k, r)domination number of G, denoted by γ (k,r)(G). We previously gave an upper bound on γ t (2,r)(G(n, p)) in random… (More)

- Louisa Harutyunyan, Jaroslav Opatrny
- 2014 IEEE 28th International Conference on…
- 2014

Broadcasting has been used in mobile ad hoc networks to send a piece of data to every node throughout the network. Using a simple flooding scheme for such purpose causes redundant rebroadcasting at some nodes. Most approaches developed in the literature assume nodes are aware of the topological changes of the network via beacon messages, which cause an… (More)

Now, we would like to know what happens when y itself is a sequence? (i.e want P (y|x)). Traditionally, graphical models were used to represent the joint probability P (y, x). This however, can lead to difficulties. In the presence of rich local features in the relational data the distribution P (x) needs to be modelled, which can include complex… (More)

- Louisa Harutyunyan
- 2015 8th IFIP Wireless and Mobile Networking…
- 2015

In this paper we consider the 1-movable dominating set problem in wireless sensor networks (WSNs), motivated by applications of WSNs such as detection of environmental activity, surveillance, area monitoring and attaining small degree of fault tolerance in such applications. To find a minimum 1-movable dominating set is shown to be NP-complete. Hence, in… (More)

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