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Making a Dominating Set of a Graph Connected [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2018
Let G = (V,E) be a graph and S ⊆ V. We say that S is a dominating set of G, if each vertex in V \ S has a neighbor in S. Moreover, we say that S is a connected (respectively, 2-edge connected or 2-connected) dominating set of G if G[S] is connected ...
Li Hengzhe, Wu Baoyindureng, Yang Weihua
doaj   +4 more sources

Node Deployment Algorithm for Underwater Sensor Networks Based on Connected Dominating Set [PDF]

open access: yesSensors, 2016
Existing node deployment algorithms for underwater sensor networks are nearly unable to improve the network coverage rate under the premise of ensuring the full network connectivity and do not optimize the communication and move energy consumption during
Peng Jiang   +4 more
doaj   +4 more sources

Minimum Connected Dominating Set Algorithms for Ad Hoc Sensor Networks [PDF]

open access: yesSensors, 2019
To achieve effective communication in ad hoc sensor networks, researchers have been working on finding a minimum connected dominating set (MCDS) as a virtual backbone network in practice.
Xuemei Sun, Yongxin Yang, Maode Ma
doaj   +2 more sources

Calculation of the Connected Dominating Set Considering Vertex Importance Metrics [PDF]

open access: yesEntropy, 2018
The computation of a set constituted by few vertices to define a virtual backbone supporting information interchange is a problem that arises in many areas when analysing networks of different natures, like wireless, brain, or social networks.
Francisco Vazquez-Araujo   +3 more
doaj   +2 more sources

Linear kernel for planar connected dominating set [PDF]

open access: yesTheoretical Computer Science, 2009
We provide polynomial time data reduction rules for Connected Dominating Set in planar graphs and analyze these to obtain a linear kernel for the planar Connected Dominating Set problem.
Lokshtanov, D.   +4 more
core   +6 more sources

CONE: A Connected Dominating Set-Based Flooding Protocol for Wireless Sensor Networks [PDF]

open access: yesSensors, 2019
Wireless sensor networks (WSNs) play a significant role in a large number of applications, e.g., healthcare and industry. A WSN typically consists of a large number of sensor nodes which rely on limited power sources in many applications.
Dennis Lisiecki   +2 more
doaj   +2 more sources

Connected odd dominating sets in graphs [PDF]

open access: yesDiscussiones Mathematicae Graph Theory, 2005
An odd dominating set of a simple, undirected graph G = (V,E) is a set of vertices D ⊆ V such that |N[v] ∩ D| ≡ 1 mod 2 for all vertices v ∈ V. It is known that every graph has an odd dominating set. In this paper we consider the concept of connected odd
Caro, Yair   +2 more
core   +3 more sources

Study on a Strong and Weak n-Connected Total Perfect k-Dominating set in Fuzzy Graphs [PDF]

open access: yesMathematics, 2022
In this paper, the concept of a strong n-Connected Total Perfect k-connected total perfect k-dominating set and a weak n-connected total perfect k-dominating set in fuzzy graphs is introduced.
Krishnasamy Elavarasan   +3 more
doaj   +2 more sources

Visual navigation in unmanned air vehicles with simultaneous location and mapping (SLAM) [PDF]

open access: yes, 2014
© Cranfield University, 2013This thesis focuses on the theory and implementation of visual navigation techniques for Autonomous Air Vehicles in outdoor environments.
Li, X
core   +7 more sources

An exact algorithm for connected red–blue dominating set

open access: yesJournal of Discrete Algorithms, 2015
In the Connected Red–Blue Dominating Set problem we are given a graph G whose vertex set is partitioned into two parts R and B (red and blue vertices), and we are asked to find a connected subgraph induced by a subset S of B such that each red vertex of ...
Abu-Khzam, Faisal N.   +2 more
core   +8 more sources

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