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Motivated by the benefits of small world networks, we propose a self-organization framework for wireless ad hoc networks. We investigate the use of directional beamforming for creating long-range short cuts between nodes. Using simulation…

Networking and Internet Architecture · Computer Science 2016-11-15 Abhik Banerjee , Rachit Agarwal , Vincent Gauthier , Chai Kiat Yeo , Hossam Afifi , Bu Sung Lee

It is highly desirable and challenging for a wireless ad hoc network to have self-organization properties in order to achieve network wide characteristics. Studies have shown that Small World properties, primarily low average path length…

Networking and Internet Architecture · Computer Science 2012-03-06 Rachit Agarwal , Abhik Banerjee , Vincent Gauthier , Monique Becker , Chai Kiat Yeo , Bu Sung Lee

Small world models are networks consisting of many local links and fewer long range 'shortcuts', used to model networks with a high degree of local clustering but relatively small diameter. Here, we concern ourselves with the distribution…

Condensed Matter · Physics 2007-05-23 A. D. Barbour , G. Reinert

Recent results from statistical physics show that large classes of complex networks, both man-made and of natural origin, are characterized by high clustering properties yet strikingly short path lengths between pairs of nodes. This class…

Information Theory · Computer Science 2016-11-17 Rui A. Costa , Joao Barros

Quantitative descriptions of network structure in big data can provide fundamental insights into the function of interconnected complex systems. Small-world structure, commonly diagnosed by high local clustering yet short average path…

Neurons and Cognition · Quantitative Biology 2015-05-12 Sarah Feldt Muldoon , Eric W. Bridgeford , Danielle S. Bassett

We study how long range directional beams can be used for self-organization of a wireless network to exhibit small world properties. Using simulation results for randomized beamforming as a guideline, we identify crucial design issues for…

Networking and Internet Architecture · Computer Science 2016-11-17 Abhik Banerjee , Rachit Agarwal , Vincent Gauthier , Chai Kiat Yeo , Hossam Afifi , Bu Sung Lee

We investigate small-world networks from the point of view of their origin. While the characteristics of small-world networks are now fairly well understood, there is as yet no work on what drives the emergence of such a network…

Disordered Systems and Neural Networks · Physics 2009-10-31 Nisha Mathias , Venkatesh Gopal

Mobile multi-hop ad hoc networks allow establishing local groups of communicating devices in a self-organizing way. However, in a global setting such networks fail to work properly due to network partitioning. Providing that devices are…

Networking and Internet Architecture · Computer Science 2007-06-11 Matthias R. Brust , Steffen Rothkugel , Carlos H. C. Ribeiro

Small world models are networks consisting of many local links and fewer long range `shortcuts'. In this paper, we consider some particular instances, and rigorously investigate the distribution of their inter--point network distances. Our…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. D. Barbour , Gesine Reinert

Characterization of real-world complex systems increasingly involves the study of their topological structure using graph theory. Among global network properties, small-world property, consisting in existence of relatively short paths…

Social and Information Networks · Computer Science 2017-02-28 Jaroslav Hlinka , David Hartman , Milan Paluš

Small-worlds represent efficient communication networks that obey two distinguishing characteristics: a high clustering coefficient together with a small characteristic path length. This paper focuses on an interesting paradox, that…

Networking and Internet Architecture · Computer Science 2007-06-11 Matthias R. Brust , Steffen Rothkugel

Collaboration between small-scale wireless devices hinges on their ability to infer properties shared across multiple nearby nodes. Wireless-enabled mobile devices in particular create a highly dynamic environment not conducive to…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-10-20 Oliver Kennedy , Christoph Koch , Al Demers

Small-world architectures may be implicated in a range of phenomena from disease propagation to networks of neurons in the cerebral cortex. While most of the recent attention on small-world networks has focussed on the effect of introducing…

Disordered Systems and Neural Networks · Physics 2007-05-23 Rajesh Kasturirangan

Data-sharing scientific collaborations have particular characteristics, potentially different from the current peer-to-peer environments. In this paper we advocate the benefits of exploiting emergent patterns in self-configuring networks…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Adriana Iamnitchi , Matei Ripeanu , Ian Foster

Random network models play a prominent role in modeling, analyzing and understanding complex phenomena on real-life networks. However, a key property of networks is often neglected: many real-world networks exhibit spatial structure, the…

Quantitative Methods · Quantitative Biology 2017-02-07 John Lang , Hans De Sterck , Jamieson L. Kaiser , Joel C. Miller

Since its recent introduction, the small-world effect has been identified in several important real-world systems. Frequently, it is a consequence of the existence of a few long-range connections, which dominate the original regular…

Physics and Society · Physics 2011-05-05 Matheus P. Viana , Luciano da F. Costa

Small-world networks are the focus of recent interest because they appear to circumvent many of the limitations of either random networks or regular lattices as frameworks for the study of interaction networks of complex systems. Here, we…

Statistical Mechanics · Physics 2012-03-08 Luis A. Nunes Amaral , Antonio Scala , Marc Barthelemy , H. Eugene Stanley

Small-world networks---complex networks characterized by a combination of high clustering and short path lengths---are widely studied using the paradigmatic model of Watts and Strogatz (WS). Although the WS model is already quite minimal…

Social and Information Networks · Computer Science 2014-12-02 H. Francis Song , Xiao-Jing Wang

The concept of small worlds is introduced into the physical topology of wireless networks in this work. A. Helmy provided two con- struction schemes of small worlds for the wireless networks, link rewiring and link addition, but he mainly…

Networking and Internet Architecture · Computer Science 2007-05-23 Fengfeng Zhou , Guoliang Chen , Yinlong Xu

One of the challenges for future infrastructures is how to design a network with high efficiency and strong connectivity at low cost. We propose self-organized geographical networks beyond the vulnerable scale-free structure found in many…

Physics and Society · Physics 2015-05-30 Yukio Hayashi , Yuki Meguro
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