Results 51 to 60 of about 124,454 (161)

Total Domination in Unit Disk Graphs

open access: yes, 2020
Let $G=(V,E)$ be an undirected graph. We call $D_t \subseteq V$ as a total dominating set (TDS) of $G$ if each vertex $v \in V$ has a dominator in $D$ other than itself. Here we consider the TDS problem in unit disk graphs, where the objective is to find a minimum cardinality total dominating set for an input graph.
Jena, Sangram K., Das, Gautam K.
openaire   +2 more sources

Minimum Bisection Is NP-hard on Unit Disk Graphs [PDF]

open access: yesInformation and Computation, 2014
17 pages, 6 ...
Díaz Cort, Josep, Mertzios, George B.
openaire   +8 more sources

Matrix-graphic simulation of social network: ergodic properties

open access: yesSistemnì Doslìdženâ ta Informacìjnì Tehnologìï
We propose mathematical tools for social network simulation to obtain sufficient conditions for network ergodicity, defined as the existence of a steady state as time approaches infinity.
Igor Spectorsky   +2 more
doaj   +1 more source

Directed Random Walk on the Lattices of Genus Two

open access: yes, 2011
The object of the present investigation is an ensemble of self-avoiding and directed graphs belonging to eight-branching Cayley tree (Bethe lattice) generated by the Fucsian group of a Riemann surface of genus two and embedded in the Pincar\'e unit disk.
A. V. NAZARENKO   +4 more
core   +1 more source

Solving optimization problems with local light-shift encoding on Rydberg quantum annealers

open access: yesPhysical Review Research
We provide a non-unit-disk framework to solve combinatorial optimization problems such as maximum cut and maximum independent set on a Rydberg quantum annealer. Our setup consists of a many-body interacting Rydberg system where locally controllable light
Kapil Goswami   +3 more
doaj   +1 more source

Analytical results on Connected dominating sets in mobile ad hoc networks [PDF]

open access: yes, 2004
We provide analytical results about the performance of various Connected Dominating Set (CDS) algorithms: MultiPoint Relaying (MPR) flooding, MPR-CDS, Generalized Wu Li CDS (GWL-CDS).
Jacquet, Philippe
core   +1 more source

Weak Unit Disk and Interval Representation of Graphs [PDF]

open access: yes, 2016
We study a variant of intersection representations with unit balls: unit disks in the plane and unit intervals on the line. Given a planar graph and a bipartition of the edges of the graph into near and far edges, the goal is to represent the vertices of the graph by unit-size balls so that the balls for two adjacent vertices intersect if and only if ...
Alam, M. J.   +3 more
openaire   +2 more sources

Design and Simulation Analysis of Underwater Robot Propeller

open access: yesShiyou jixie, 2020
The thruster is the power unit of the underwater robot, and the propeller is an important part of the underwater thruster. In order to design a set of high-performance propellers, the theoretical design of the magnetically coupled propellers was first ...
Hu Qing   +3 more
doaj  

Dirichlet space of multiply connected domains with Weil-Petersson class boundaries [PDF]

open access: yes, 2014
The restricted class of quasicircles sometimes called the "Weil-Petersson-class" has been a subject of interest in the last decade. In this paper we establish a Sokhotski-Plemelj jump formula for WP-class quasicircles, for boundary data in a certain ...
Radnell, David   +2 more
core  

Determining Distributions of Security Means for WSNs Based on the Model of a Neighborhood Watch

open access: yesIEEE Access
Neighbourhood watch is a concept allowing a community to distribute a complex security task in between all members. Members carry out security tasks in a distributed and cooperative manner ensuring their mutual security and reducing the individual ...
Benjamin Forster   +2 more
doaj   +1 more source

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