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We use a simple dynamical model and explore coherent dynamics of wavepackets in complex networks of optical fibers. We start from a symmetric lattice and through the application of a Monte-Carlo criterion we introduce structural disorder…

Optics · Physics 2014-09-30 F. Perakis , M. Mattheakis , G. P. Tsironis

Many real-world complex systems have small-world topology characterized by the high clustering of nodes and short path lengths.It is well-known that higher clustering drives localization while shorter path length supports delocalization of…

Disordered Systems and Neural Networks · Physics 2021-02-24 Ankit Mishra , Jayendra N. Bandyopadhyay , Sarika Jalan

This paper proposes an attributed network growth model. Despite the knowledge that individuals use limited resources to form connections to similar others, we lack an understanding of how local and resource-constrained mechanisms explain…

Social and Information Networks · Computer Science 2019-04-17 Harshay Shah , Suhansanu Kumar , Hari Sundaram

We introduce and define three types of small worlds: small worlds based on the diameter of the network (SWD), those based on the average geodesic distance between nodes (SWA), and those based on the median geodesic distance (SWMd). These…

Social and Information Networks · Computer Science 2024-02-19 Leo Egghe , Ronald Rousseau

We propose a simple growing model for the evolution of small-world networks. It is introduced as a modified BA model in which all the edges connected to the new nodes are made locally to the creator and its nearest neighbors. It is found…

Mathematical Physics · Physics 2009-11-13 Xinping Xu , Feng Liu , Wei Li

This article introduces a metric for performance evaluation of medium access schemes in wireless ad hoc networks known as local capacity. Although deriving the end-to-end capacity of wireless ad hoc networks is a difficult problem, the…

Information Theory · Computer Science 2012-02-22 Salman Malik , Philippe Jacquet

Among the several topological properties of complex networks, the shortest path represents a particularly important characteristic because of its potential impact not only on other topological properties, but mainly for its influence on…

Social and Information Networks · Computer Science 2020-03-30 Guilherme S. Domingues , Cesar H. Comin , Luciano da F. Costa

The wireless network places vital role in the present day communication scenario. The ad hoc nature of wireless communication adds flavour to suit various real world applications. This improves the performance of the network tremendously…

Networking and Internet Architecture · Computer Science 2013-01-15 S. Thirumurugan , E. George Dharma Prakash Raj

In this paper we consider spatial networks that realize a balance between an infrastructure cost (the cost of wire needed to connect the network in space) and communication efficiency, measured by average shortest pathlength. A global…

Disordered Systems and Neural Networks · Physics 2015-05-19 Markus Brede

Supplementing a lattice with long-range connections effectively models small-world networks characterized by a high local and global interconnectedness observed in systems ranging from society to the brain. If the links have a wiring cost…

Disordered Systems and Neural Networks · Physics 2007-05-23 Thomas Petermann , Paolo De Los Rios

Capacity scaling of a large hybrid network with unit node density, consisting of $n$ wireless ad hoc nodes, base stations (BSs) equipped with multiple antennas, and one remote central processor (RCP), is analyzed when wired backhaul links…

Information Theory · Computer Science 2014-07-29 Cheol Jeong , Won-Yong Shin

Small-world networks by Watts and Strogatz are a class of networks that are highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs. These characteristics result in networks with unique…

Adaptation and Self-Organizing Systems · Physics 2011-09-27 Qawi K. Telesford , Karen E. Joyce , Satoru Hayasaka , Jonathan H. Burdette , Paul J. Laurienti

Ad hoc networks provide an on-demand, infrastructure-free means to communicate between soldiers in war zones, aid workers in disaster areas, or consumers in device-to-device (D2D) applications. Unfortunately, ad hoc networks are limited by…

Information Theory · Computer Science 2016-11-15 Andrew Thornburg , Tianyang Bai , Robert W. Heath

The small-world property in the context of complex networks implies structural benefits to the processes taking place within a network, such as optimal information transmission and robustness. In this paper, we study a model network of…

Adaptation and Self-Organizing Systems · Physics 2015-08-03 Victor Hernandez-Urbina , J. Michael Herrmann

In a wired network, a packet can be transmitted to a specified destination only, no broadcasting required. But in ad hoc wireless network a packet transmitted by a node can reach all neighbors due to broadcasting. This broadcasting…

Networking and Internet Architecture · Computer Science 2013-04-09 Md. Nazrul Islam , M. M. A. Hashem , A. M. Moshiur Rahman

Ad hoc network enables network creation on the fly without support of any predefined infrastructure. The spontaneous erection of networks in anytime and anywhere fashion enables development of various novel applications based on ad hoc…

Networking and Internet Architecture · Computer Science 2017-11-23 Noman Islam , Zubair A. Shaikh

Ad hoc network is a collection of different types of nodes, which are connected in heterogeneous or homogeneous manner. It is also known as self-organizing-wireless network. The dynamic nature of ad hoc networks make them more attractive,…

Networking and Internet Architecture · Computer Science 2020-04-15 Priya P. Patel , Rutvij H. Jhaveri

We develop distributed algorithms to allocate resources in multi-hop wireless networks with the aim of minimizing total cost. In order to observe the fundamental duplexing constraint that co-located transmitters and receivers cannot operate…

Networking and Internet Architecture · Computer Science 2016-11-15 Yufang Xi , Edmund M. Yeh

The performance of collaborative beamforming is analyzed using the theory of random arrays. The statistical average and distribution of the beampattern of randomly generated phased arrays is derived in the framework of wireless ad hoc…

Information Theory · Computer Science 2016-08-31 Hideki Ochiai , Patrick Mitran , H. Vincent Poor , Vahid Tarokh

The small-world phenomenon has been already the subject of a huge variety of papers, showing its appeareance in a variety of systems. However, some big holes still remain to be filled, as the commonly adopted mathematical formulation…

Statistical Mechanics · Physics 2009-11-07 Vito Latora , Massimo Marchiori