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The high attenuation of radio signals in water leaves acoustic waves the most viable communication media for underwater sensor networks. Nevertheless, acoustic communication suffers from significantly high latency because of its low propagation speed ...
Xin Bai, Xiaohui Wei, Sen Bai
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Spanners for geometric intersection graphs with applications
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real numbert>1, we say that a subgraph G' of a graph G is a t-spanner of G, if for every pair of verticesu,v in G, there exists a path in G' of length at most t ...
Martin Fürer +1 more
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Families of Riemann Surfaces, Uniformization and Arithmeticity [PDF]
A consequence of the results of Bers and Griffiths on the uniformization of complex algebraic varieties is that the universal cover of a family of Riemann surfaces, with base and fibers of finite hyperbolic type, is a contractible 2-dimensional domain ...
González-Diez, Gabino +1 more
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On the Complexity of Target Set Selection in Simple Geometric Networks [PDF]
We study the following model of disease spread in a social network. At first, all individuals are either infected or healthy. Next, in discrete rounds, the disease spreads in the network from infected to healthy individuals such that a healthy individual
Michal Dvořák +2 more
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Planar subgraphs without low-degree nodes [PDF]
We study the following problem: given a geometric graph G and an integer k, determine if G has a planar spanning subgraph (with the original embedding and straight-line edges) such that all nodes have degree at least k.
A. Liebers +9 more
core +2 more sources
Hierarchically specified unit disk graphs
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Marathe, Madhav V. +3 more
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In a wireless ad hoc network, the size of the virtual backbone (VB) is an important factor for measuring the quality of the VB. The smaller the VB is, the less the overhead caused by the VB.
Jiarong Liang +5 more
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Reverse Shortest Path Problem for Unit-Disk Graphs [PDF]
Given a set P of n points in the plane, the unit-disk graph Gr(P) with respect to a parameter r is an undirected graph whose vertex set is P such that an edge connects two points p, q \in P if the Euclidean distance between p and q is at most r (the weight of the edge is 1 in the unweighted case and is the distance between p and q in the weighted case).
Wang, Haitao, Zhao, Yiming
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A novel centralized algorithm for constructing virtual backbones in wireless sensor networks
Finding the minimum connected dominating set (MCDS) is a key problem in wireless sensor networks, which is crucial for efficient routing and broadcasting. However, the MCDS problem is NP-hard.
Chuanwen Luo +4 more
doaj +1 more source
Network Localization on Unit Disk Graphs [PDF]
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Kaewprapha, Phisan +2 more
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