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In this paper, we study the minimum dominating set (MDS) problem and the minimum total dominating set MTDS) problem which have many applications in real world. We propose a new idea to compute approximate MDS and MTDS. Next, we give an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-16 Sharareh Alipour , Mohammadhadi Salari

Using connected dominating set (CDS) to serve as a virtual backbone in a wireless networks can save energy and reduce interference. Since nodes may fail due to accidental damage or energy depletion, it is desirable that the virtual backbone…

Discrete Mathematics · Computer Science 2017-03-14 Zhao Zhang , Jiao Zhou , Ker-I Ko , Ding-zhu Du

A set of vertices in a graph is a dominating set if every vertex outside the set has a neighbor in the set. A dominating set is connected if the subgraph induced by its vertices is connected. The connected domatic partition problem asks for…

Data Structures and Algorithms · Computer Science 2013-07-09 Alina Ene , Nitish Korula , Ali Vakilian

This paper studies a combined space partitioning and network flow optimization problem, with applications to large-scale power, transportation, or communication systems. In dense wireless networks, one may want to simultaneously optimize…

Optimization and Control · Mathematics 2025-09-16 Théo Laurentin , Patrick Coirault , Emmanuel Moulay , Antoine Lesage-Landry , Jerome Le Ny

A connected dominating set is a widely adopted model for the virtual backbone of a wireless sensor network. In this paper, we design an evolutionary algorithm for the minimum connected dominating set problem (MinCDS), whose performance is…

Discrete Mathematics · Computer Science 2022-01-17 Chaojie Zhu , Yingli Ran , Zhao Zhang , Ding-Zhu Du

Using a connected dominating set (CDS) to serve as the virtual backbone of a wireless sensor network (WSN) is an effective way to save energy and reduce the impact of broadcasting storms. Since nodes may fail due to accidental damage or…

Data Structures and Algorithms · Computer Science 2017-05-29 Yash P. Aneja , Asish Mukhopadhyay , Md. Zamilur Rahman

To achieve an efficient routing in a wireless sensor network, connected dominating set (CDS) is used as virtual backbone. A fault-tolerant virtual backbone can be modeled as a $(k,m)$-CDS. For a connected graph $G=(V,E)$ and two fixed…

Discrete Mathematics · Computer Science 2016-08-30 Zhao Zhang , Jiao Zhou , Xiaohui Huang , Ding-Zhu Du

This paper presents a near-optimal distributed approximation algorithm for the minimum-weight connected dominating set (MCDS) problem. The presented algorithm finds an $O(\log n)$ approximation in $\tilde{O}(D+\sqrt{n})$ rounds, where $D$…

Data Structures and Algorithms · Computer Science 2014-05-01 Mohsen Ghaffari

This paper investigates a combinatorial optimization problem motived from a secure power network design application in [D\'{a}n and Sandberg 2010]. Two equivalent graph optimization formulations are derived. One of the formulations is a…

Optimization and Control · Mathematics 2017-02-28 Kin Cheong Sou , Jie Lu

The problem Power Dominating Set (PDS) is motivated by the placement of phasor measurement units to monitor electrical networks. It asks for a minimum set of vertices in a graph that observes all remaining vertices by exhaustively applying…

Data Structures and Algorithms · Computer Science 2023-06-19 Thomas Bläsius , Max Göttlicher

We consider a connected undirected graph $G(n,m)$ with $n$ nodes and $m$ edges. A $k$-dominating set $D$ in $G$ is a set of nodes having the property that every node in $G$ is at most $k$ edges away from at least one node in $D$. Finding a…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 L. D. Penso , V. C. Barbosa

Providing an analytical solution for the problem of finding Fastest Distributed Consensus (FDC) is one of the challenging problems in the field of sensor networks. Here in this work we present analytical solution for the problem of fastest…

Information Theory · Computer Science 2010-09-28 Saber Jafarizadeh

The availability of large-scale data sets is an essential pre-requisite for deep learning based semantic segmentation schemes. Since obtaining pixel-level labels is extremely expensive, supervising deep semantic segmentation networks using…

Computer Vision and Pattern Recognition · Computer Science 2019-09-23 Sinem Aslan , Marcello Pelillo

The problem of finding a minimum-weight connected dominating set (CDS) of a given undirected graph has been studied actively, motivated by operations of wireless ad hoc networks. In this paper, we formulate a new stochastic variant of the…

Data Structures and Algorithms · Computer Science 2020-01-01 Takuro Fukunaga

Wireless devices need spectrum to communicate. With the increase in the number of devices competing for the same spectrum, it has become nearly impossible to support the throughput requirements of all the devices through current spectrum…

Networking and Internet Architecture · Computer Science 2021-11-23 Aniq Ur Rahman , Mustafa A. Kishk , Mohamed-Slim Alouini

Distributed computing frameworks such as MapReduce and Spark are often used to process large-scale data computing jobs. In wireless scenarios, exchanging data among distributed nodes would seriously suffer from the communication bottleneck…

Information Theory · Computer Science 2023-10-25 Youlong Wu , Zhenhao Huang , Kai Yuan , Shuai Ma , Yue Bi

In this paper, we propose a distributed algorithm for the minimum dominating set problem. For some especial networks, we prove theoretically that the achieved answer by our proposed algorithm is a constant approximation factor of the exact…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-05 Sharareh Alipour , Ehsan Futuhi , Shayan Karimi

Distributed Opportunistic Scheduling (DOS) techniques have been recently proposed to improve the throughput performance of wireless networks. With DOS, each station contends for the channel with a certain access probability. If a contention…

Networking and Internet Architecture · Computer Science 2014-12-16 Andres Garcia-Saavedra , Albert Banchs , Pablo Serrano , Joerg Widmer

With the development of federated learning (FL), mobile devices (MDs) are able to train their local models with private data and sends them to a central server for aggregation, thereby preventing sensitive raw data leakage. In this paper,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-15 Shunfeng Chu , Jun Li , Jianxin Wang , Zhe Wang , Ming Ding , Yijin Zang , Yuwen Qian , Wen Chen

We consider the problem of constructing a communication infrastructure from scratch, for a collection of identical wireless nodes. Combinatorially, this means a) finding a set of links that form a strongly connected spanning graph on a set…

Networking and Internet Architecture · Computer Science 2012-10-17 Magnus M. Halldorsson , Pradipta Mitra
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