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In any attempt at designing an efficient algorithm for the minimum vertex cover problem, obtaining good upper and lower bounds for the vertex cover number could be crucial. In this article we present a modified greedy algorithm of…

Combinatorics · Mathematics 2019-01-04 R. Dharmarajan , D. Ramachandran

A typical way in which network data is recorded is to measure all the interactions among a specified set of core nodes; this produces a graph containing this core together with a potentially larger set of fringe nodes that have links to the…

Social and Information Networks · Computer Science 2018-05-04 Austin R. Benson , Jon Kleinberg

Distributed signal-processing algorithms in (wireless) sensor networks often aim to decentralize processing tasks to reduce communication cost and computational complexity or avoid reliance on a single device (i.e., fusion center) for…

Signal Processing · Electrical Eng. & Systems 2023-03-03 Matthias Blochberger , Filip Elvander , Randall Ali , Jan Østergaard , Jesper Jensen , Marc Moonen , Toon van Waterschoot

We carry out a structural and algorithmic study of a mobile sensor coverage optimization problem targeting 2D surfaces embedded in a 3D workspace. The investigated settings model multiple important applications including camera network…

Robotics · Computer Science 2021-03-22 Si Wei Feng , Kai Gao , Jie Gong , Jingjin Yu

Coverage problem in wireless sensor networks measures how well a region or parts of it is sensed by the deployed sensors. Definition of coverage metric depends on its applications for which sensors are deployed. In this paper, we introduce…

Computational Geometry · Computer Science 2020-01-16 Dinesh Dash

In this paper, given a random uniform distribution of sensor nodes on a 2-D plane, a fast self-organized distributed algorithm is proposed to find the maximum number of partitions of the nodes such that each partition is connected and…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-06-12 Dibakar Saha , Nabanita Das

It is a celebrated result in early combinatorics that, in bipartite graphs, the size of maximum matching is equal to the size of a minimum vertex cover. K\H{o}nig's proof of this fact gave an algorithm for finding a minimum vertex cover…

Combinatorics · Mathematics 2020-04-22 Jacob Turner

The classical NP-complete problem Vertex Cover requires us to determine whether a graph contains at most $k$ vertices that cover all edges. In spite of its intractability, the problem can be solved in FPT time for parameter $k$ by various…

Data Structures and Algorithms · Computer Science 2018-07-31 Leizhen Cai

Locating each node in a wireless sensor network is essential for starting the monitoring job and sending information about the area. One method that has been used in hard and inaccessible environments is randomly scattering each node in the…

Networking and Internet Architecture · Computer Science 2021-07-07 Saeed Ghadiri

Evolution of large scale networks demand for efficient way of communication in the networks. One way to propagate information in the network is to find vertex cover. In this paper we describe a variant of vertex cover problem naming it…

Data Structures and Algorithms · Computer Science 2016-06-10 Tarun Yadav , Koustav Sadhukhan , Rao Arvind Mallari

This paper examines the spatial coverage optimization problem for multiple sensors in a known convex environment, where the coverage service of each sensor is heterogeneous and anisotropic. We introduce the Stein Coverage algorithm, a…

Multiagent Systems · Computer Science 2023-12-13 Donipolo Ghimire , Solmaz S. Kia

Determining whether nodes can be localized, called localizability detection, is essential for wireless sensor networks (WSNs). This step is required for localizing nodes, achieving low-cost deployments, and identifying prerequisites in…

Signal Processing · Electrical Eng. & Systems 2018-12-31 Hejun Wu , Ao Ding , Lvzhou Li

As graphs continue to grow in size, we seek ways to effectively process such data at scale. The model of streaming graph processing, in which a compact summary is maintained as each edge insertion/deletion is observed, is an attractive one.…

Data Structures and Algorithms · Computer Science 2014-07-25 Rajesh Chitnis , Graham Cormode , MohammadTaghi Hajiaghayi , Morteza Monemizadeh

One of the main objectives of cloud computing providers is increasing the revenue of their cloud datacenters by accommodating virtual network requests as many as possible. However, arrival and departure of virtual network requests fragment…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-02-11 Ashraf A. Shahin

The technique of kernelization consists in extracting, from an instance of a problem, an essentially equivalent instance whose size is bounded in a parameter k. Besides being the basis for efficient param-eterized algorithms, this method…

Artificial Intelligence · Computer Science 2017-02-09 Clément Carbonnel , Emmanuel Hébrard

Time-varying coverage, namely sweep coverage is a recent development in the area of wireless sensor networks, where a small number of mobile sensors sweep or monitor comparatively large number of locations periodically. In this article we…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-04-11 Barun Gorain , Partha Sarathi Mandal

In the 2-Vertex-Connected Spanning Subgraph problem (2-VCSS), we are given an undirected graph $G$, and the objective is to find a 2-vertex-connected spanning subgraph $S$ of $G$ with the minimum number of edges. In the context of…

Data Structures and Algorithms · Computer Science 2026-05-12 Yusuke Kobayashi , Takashi Noguchi

In the solution discovery problem for a search problem on graphs, we are given an initial placement of $k$ tokens on the vertices of a graph and asked whether this placement can be transformed into a feasible solution by applying a small…

Data Structures and Algorithms · Computer Science 2025-12-01 Rin Saito , Anouk Sommer , Tatsuhiro Suga , Takahiro Suzuki , Yuma Tamura

We present a massively parallel algorithm, with near-linear memory per machine, that computes a $(2+\varepsilon)$-approximation of minimum-weight vertex cover in $O(\log\log d)$ rounds, where $d$ is the average degree of the input graph.…

Data Structures and Algorithms · Computer Science 2020-05-22 Mohsen Ghaffari , Ce Jin , Daan Nilis

In Wireless Sensor Networks, sensors are used for tracking objects, monitoring health and observing a region/territory for different environmental parameters. Coverage problem in sensor network ensures quality of monitoring a given region.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-16 Dinesh Dash , Anurag Dasgupta