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We present an algorithm to grow a graph with scale-free structure of {\it in-} and {\it out-links} and variable wiring diagram in the class of the world-wide Web. We then explore the graph by intentional random walks using local…

Statistical Mechanics · Physics 2009-11-10 Bosiljka Tadic

Many networks can be usefully decomposed into a dense core plus an outlying, loosely-connected periphery. Here we propose an algorithm for performing such a decomposition on empirical network data using methods of statistical inference. Our…

Social and Information Networks · Computer Science 2015-06-22 Xiao Zhang , Travis Martin , M. E. J. Newman

We consider the problem of exploring an unknown tree with a team of $k$ initially colocated mobile agents. Each agent has limited energy and cannot, as a result, traverse more than $B$ edges. The goal is to maximize the number of nodes…

Data Structures and Algorithms · Computer Science 2018-02-20 Evangelos Bampas , Jérémie Chalopin , Shantanu Das , Jan Hackfeld , Christina Karousatou

Tree-based phylogenetic networks, which may be roughly defined as leaf-labeled networks built by adding arcs only between the original tree edges, have elegant properties for modeling evolutionary histories. We answer an open question of…

We consider the classic problem of Network Reliability. A network is given together with a source vertex, one or more target vertices, and probabilities assigned to each of the edges. Each edge appears in the network with its associated…

Combinatorics · Mathematics 2019-03-20 Amir Kafshdar Goharshady , Fatemeh Mohammadi

This paper studies a new concept so-called green cell-less radio frequency (RF) wireless power transfer (WPT) networks. We consider a scenario in which multiple indoor access points (APs) equipped with outdoor energy harvesters are…

Networking and Internet Architecture · Computer Science 2018-01-22 Ha-Vu Tran , Georges Kaddoum

Radio networks are a long-studied model for distributed system of devices which communicate wirelessly. When these devices are mobile or have limited capabilities, the system is often best modeled by the ad-hoc variant, in which the devices…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Artur Czumaj , Peter Davies

Topological data analysis can extract effective information from higher-dimensional data. Its mathematical basis is persistent homology. The persistent homology can calculate topological features at different spatiotemporal scales of the…

Algebraic Topology · Mathematics 2023-09-29 Dinghua Shi , Zhifeng Chen , Chuang Ma , Guanrong Chen

This paper describes a generalization of previous methods for constructing tree-structured belief network with hidden variables. The major new feature of the described method is the ability to produce a tree decomposition even when there…

Artificial Intelligence · Computer Science 2013-04-05 L. Liu , Y. Ma , D. Wilkins , Z. Bian , X. Ying

In this work, we present a new approach for competitive geometric routing in wireless ad hoc networks. In general, it is well-known that any online routing strategy performs very poor in the worst case. The main difficulty are uncovered…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-11 Jannik Castenow , Christina Kolb , Christian Scheideler

We address the problem of efficiently gathering correlated data from a wired or a wireless sensor network, with the aim of designing algorithms with provable optimality guarantees, and understanding how close we can get to the known…

Networking and Internet Architecture · Computer Science 2009-08-03 Jian Li , Amol Deshpande , Samir Khuller

The outage performance of wireless networks with unstructured network topologies is investigated. The network reliability perspective of graph theory is used to obtain the network outage polynomial of generalized wireless networks by…

Information Theory · Computer Science 2019-04-30 Semiha Tedik Basaran , Gunes Karabulut Kurt , Frank R. Kschischang

Independent trees are used in building secure and/or fault-tolerant network communication protocols. They have been investigated for different network topologies including tori. Dense Gaussian networks are potential alternatives for…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-15 Bader AlBdaiwi , Zaid Hussain , Anton Cerny , Robert Aldred

A number of problems in communication systems demand the distributed allocation of network resources in order to provide better services, sampling and distribution methods. The solution to these issues is becoming more challenging due to…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno , Alexei Vazquez

For a wireless multi-tier heterogeneous network with orthogonal spectrum allocation across tiers, we optimize the association probability and the fraction of spectrum allocated to each tier so as to maximize rate coverage. In practice, the…

Information Theory · Computer Science 2014-08-19 Sanam Sadr , Raviraj S. Adve

Assuming a random uniform distribution of n sensor nodes over a virtual grid, this paper addresses the problem of finding the maximum number of connected set covers each ensuring 100% coverage of the query region. The connected sets remain…

Networking and Internet Architecture · Computer Science 2014-02-14 Dibakar Saha , Nabanita Das

An important problem in wireless sensor networks is to find the minimal number of randomly deployed sensors making a network connected with a given probability. In practice sensors are often deployed one by one along a trajectory of a…

Information Theory · Computer Science 2009-10-10 V. Kurlin , L. Mihaylova

As the use of wireless sensor networks increases, the need for (energy-)efficient and reliable broadcasting algorithms grows. Ideally, a broadcasting algorithm should have the ability to quickly disseminate data, while keeping the number of…

Networking and Internet Architecture · Computer Science 2014-07-24 Thomas M. M. Meyfroyt , Sem C. Borst , Onno J. Boxma , Dee Denteneer

A new network construction method is presented for building of scalable, high throughput, low latency networks. The method is based on the exact equivalence discovered between the problem of maximizing network throughput (measured as…

Information Theory · Computer Science 2013-02-06 Ratko V. Tomic

We introduce and study the general problem of finding a most "scale-free-like" spanning tree of a connected graph. It is motivated by a particular problem in epidemiology, and may be useful in studies of various dynamical processes in…

Combinatorics · Mathematics 2023-07-12 Yury Orlovich , Kirill Kukharenko , Volker Kaibel , Pavel Skums
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