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Related papers: Smallest small-world network

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A new family of graphs, {\it entangled networks}, with optimal properties in many respects, is introduced. By definition, their topology is such that optimizes synchronizability for many dynamical processes. These networks are shown to have…

Statistical Mechanics · Physics 2009-11-11 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

This study introduces an algorithm that generates undirected graphs with three main characteristics of real-world networks: scale-freeness, short distances between nodes (small-world phenomenon), and large clustering coefficients. The main…

Social and Information Networks · Computer Science 2025-02-27 João Pedro C. Morais , Ruben Interian

A number of recent studies have focused on the statistical properties of networked systems such as social networks and the World-Wide Web. Researchers have concentrated particularly on a few properties which seem to be common to many…

Statistical Mechanics · Physics 2009-11-07 Michelle Girvan , M. E. J. Newman

We have investigated the role that different connectivity regimes play on the dynamics of a network of Hodgkin-Huxley neurons by computer simulations. The different connectivity topologies exhibit the following features: random connectivity…

Disordered Systems and Neural Networks · Physics 2025-03-24 Luis F. Lago-Fernandez , Ramon Huerta , Fernando Corbacho , Juan A. Siguenza

Previous work on undirected small-world networks established the paradigm that locally structured networks tend to have high density of short loops. On the other hand, many realistic networks are directed. Here we investigate the local…

Physics and Society · Physics 2008-04-05 Ginestra Bianconi , Natali Gulbahce , Adilson E. Motter

In spiking neural networks an action potential could in principle trigger subsequent spikes in the neighbourhood of the initial neuron. A successful spike is that which trigger subsequent spikes giving rise to cascading behaviour within the…

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

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

This article explores the relationship between communities and short cycles in complex networks, based on the fact that nodes more densely connected amongst one another are more likely to be linked through short cycles. By identifying…

Disordered Systems and Neural Networks · Physics 2007-05-23 James Bagrow , Erik Bollt , Luciano da F. Costa

Most of the real world networks such as the internet network, collaboration networks, brain networks, citation networks, powerline and airline networks are very large and to study their structure, and dynamics one often requires working…

Physics and Society · Physics 2020-05-05 Richa Tripathi , Amit Reza

Energy efficiency is a corner stone of sustainability in data center and high-performance networking. However, at present there is a notable structural mismatch between network silicon development targets and network equipment utilization…

Networking and Internet Architecture · Computer Science 2011-09-06 Daniel Kharitonov

Transport in weighted networks is dominated by the minimum spanning tree (MST), the tree connecting all nodes with the minimum total weight. We find that the MST can be partitioned into two distinct components, having significantly…

Disordered Systems and Neural Networks · Physics 2009-11-11 Zhenhua Wu , Lidia A. Braunstein , Shlomo Havlin , H. Eugene Stanley

A main goal in the analysis of a complex system is to infer its underlying network structure from time-series observations of its behaviour. The inference process is often done by using bi-variate similarity measures, such as the…

Disordered Systems and Neural Networks · Physics 2019-09-06 Rodrigo A. García , Arturo C. Martí , Cecilia Cabeza , Nicolás Rubido

The demand for computer in our daily lives has led to the proliferation of Datacenters that power indispensable many services. On the other hand, computing has become essential for some research for various scientific fields, that require…

The structure of the network has great impact on its traffic dynamics. Most of the real world networks follow the heterogeneous structure and exhibit scale-free feature. In scale-free network, a new node prefers to connect with hub nodes…

Networking and Internet Architecture · Computer Science 2019-01-17 Suchi Kumari , Abhishek Saroha , Anurag Singh

The design of efficient transportation networks is an important challenge in many research areas. Among the most promising recent methods, biological routing mimic local rules found in nature. However comparisons with other methods are…

Physics and Society · Physics 2018-03-12 François Queyroi

Small-world and scale-free networks are known to be more easily synchronized than regular lattices, which is usually attributed to the smaller network distance between oscillators. Surprisingly, we find that networks with a homogeneous…

Disordered Systems and Neural Networks · Physics 2009-11-10 Takashi Nishikawa , Adilson E. Motter , Ying-Cheng Lai , Frank C. Hoppensteadt

Mapping a complex network to an atomic cluster, the Anderson localization theory is used to obtain the load distribution on a complex network. Based upon an intelligence-limited model we consider the load distribution and the congestion and…

Disordered Systems and Neural Networks · Physics 2007-05-23 Huijie Yang , Fangcui Zhao , Tao Zhou , Wenxu Wang , Binghong Wang

Network's resilience to the malfunction of its components has been of great concern. The goal of this work is to determine the network design guidelines, which maximizes the network efficiency while keeping the cost of the network (that is…

Disordered Systems and Neural Networks · Physics 2009-11-11 Bing Wang , Huanwen Tang , Chonghui Guo , Zhilong Xiu , Tao Zhou

A small-world topology characterizes many complex systems including the structural and functional organization of brain networks. The topology allows simultaneously for local and global efficiency in the interaction of the system…

Physics and Society · Physics 2015-05-30 Sinisa Pajevic , Dietmar Plenz

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

Statistical Mechanics · Physics 2015-06-24 M. E. J. Newman