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Finding a minimum vertex cover in a network is a fundamental NP-complete graph problem. One way to deal with its computational hardness, is to trade the qualitative performance of an algorithm (allowing non-optimal outputs) for an improved…

Data Structures and Algorithms · Computer Science 2023-12-14 Thomas Bläsius , Tobias Friedrich , Maximilian Katzmann

Sensor Networks are inherently complex networks, and many of their associated problems require analysis of some of their global characteristics. These are primarily affected by the topology of the network. We present in this paper, a…

Networking and Internet Architecture · Computer Science 2011-07-01 Harish Chintakunta , Hamid Krim

The coverage problem in wireless sensor networks (WSNs) can be generally defined as a measure of how effectively a network field is monitored by its sensor nodes. This problem has attracted a lot of interest over the years and as a result,…

Networking and Internet Architecture · Computer Science 2019-01-04 Riham Elhabyan , Wei Shi , Marc St-Hilaire

In recent years, network embedding methods have garnered increasing attention because of their effectiveness in various information retrieval tasks. The goal is to learn low-dimensional representations of vertexes in an information network…

Social and Information Networks · Computer Science 2017-11-02 Chih-Ming Chen , Yi-Hsuan Yang , Yian Chen , Ming-Feng Tsai

To solve the combinatorial optimization problems especially the minimal Vertex-cover problem with high efficiency, is a significant task in theoretical computer science and many other subjects. Aiming at detecting the solution space of…

Mathematical Physics · Physics 2014-12-18 Wei Wei , Renquan Zhang , Binghui Guo , Zhiming Zheng

A distributed data collection algorithm to accurately store and forward information obtained by wireless sensor networks is proposed. The proposed algorithm does not depend on the sensor network topology, routing tables, or geographic…

Networking and Internet Architecture · Computer Science 2010-11-15 Salah A. Aly , Ahmed Ali-Eldin , H. Vincent Poor

We study problems related to connecting multi-interface networks of wireless devices. These problems are modeled using graphs, where vertices represent the devices and edges represent potential communication links. Each vertex can activate…

Data Structures and Algorithms · Computer Science 2026-05-11 Michał Szyfelbein , Camille Richer

We develop distributed algorithms to allocate resources in multi-hop wireless networks with the aim of minimizing total cost. In order to observe the fundamental duplexing constraint that co-located transmitters and receivers cannot operate…

Networking and Internet Architecture · Computer Science 2016-11-15 Yufang Xi , Edmund M. Yeh

We present time-efficient distributed algorithms for decomposing graphs with large edge or vertex connectivity into multiple spanning or dominating trees, respectively. As their primary applications, these decompositions allow us to achieve…

Data Structures and Algorithms · Computer Science 2013-11-22 Keren Censor-Hillel , Mohsen Ghaffari , Fabian Kuhn

The paper describes a simple deterministic parallel/distributed (2+epsilon)-approximation algorithm for the minimum-weight vertex-cover problem and its dual (edge/element packing).

Data Structures and Algorithms · Computer Science 2015-06-02 Samir Khuller , Uzi Vishkin , Neal Young

We develop a polynomial time 3/2-approximation algorithm to solve the vertex cover problem on a class of graphs satisfying a property called ``active edge hypothesis''. The algorithm also guarantees an optimal solution on specially…

Data Structures and Algorithms · Computer Science 2007-12-21 Qiaoming Han , Abraham P. Punnen , Yinyu Ye

In this paper, we study a class of set cover problems that satisfy a special property which we call the {\em small neighborhood cover} property. This class encompasses several well-studied problems including vertex cover, interval cover,…

Data Structures and Algorithms · Computer Science 2013-12-30 Archita Agarwal , Venkatesan T. Chakaravarthy , Anamitra R. Choudhury , Sambuddha Roy , Yogish Sabharwal

In this paper, we explicitly study the online vertex cover problem, which is a natural generalization of the well-studied ski-rental problem. In the online vertex cover problem, we are required to maintain a monotone vertex cover in a graph…

Data Structures and Algorithms · Computer Science 2013-05-09 Yajun Wang , Sam Chiu-wai Wong

Finding small vertex covers in a graph has applications in numerous domains. Two common formulations of the problem include: Minimum Vertex Cover, which finds the smallest vertex cover in a graph, and Parameterized Vertex Cover, which finds…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-25 Peter Yamout , Karim Barada , Adnan Jaljuli , Amer E. Mouawad , Izzat El Hajj

In this paper, we revisit the distributed coverage control problem with multiple robots on both metric graphs and in non-convex continuous environments. Traditionally, the solutions provided for this problem converge to a locally optimal…

Multiagent Systems · Computer Science 2020-05-07 Armin Sadeghi , Ahmad Bilal Asghar , Stephen L. Smith

We address the problem of computing a Minimum Weighted Vertex Cover (MWVC) in a decentralized network. MWVC, a classical NP-hard problem, is foundational in applications such as network monitoring and resource placement. We propose a fully…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Matteo Mordacchini , Emanuele Carlini , Patrizio Dazzi

Connectivity and coverage are two crucial problems for wireless sensor networks. Several studies have focused on proposing solutions for improving and adjusting the initial deployment of a wireless sensor network to meet these two criteria.…

Networking and Internet Architecture · Computer Science 2012-08-02 Hanen Idoudi , Chiraz Houaidia , Leila Azouz Saidane , Pascale Minet

Horiyama et al. (AAAI 2024) studied the problem of generating graph instances that possess a unique minimum vertex cover under specific conditions. Their approach involved pre-assigning certain vertices to be part of the solution or…

Data Structures and Algorithms · Computer Science 2025-02-10 Foivos Fioravantes , Dušan Knop , Nikolaos Melissinos , Michal Opler , Manolis Vasilakis

This paper presents adaptive link selection algorithms for distributed estimation and considers their application to wireless sensor networks and smart grids. In particular, exhaustive search--based least--mean--squares(LMS)/recursive least…

Systems and Control · Computer Science 2015-10-20 S. Xu , R. C. de Lamare , H. V. Poor

We give efficient distributed algorithms for the minimum vertex cover problem in bipartite graphs in the CONGEST model. From K\H{o}nig's theorem, it is well known that in bipartite graphs the size of a minimum vertex cover is equal to the…

Data Structures and Algorithms · Computer Science 2020-11-20 Salwa Faour , Fabian Kuhn