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Network structures are extremely important to the study of political science. Much of the data in its subfields are naturally represented as networks. This includes trade, diplomatic and conflict relationships. The social structure of…

Methodology · Statistics 2011-05-05 Drew Conway

We interpret the subgraph centrality as the partition function of a network. The entropy, the internal energy and the Helmholtz free energy are defined for networks and molecular graphs on the basis of graph spectral theory. Various…

Physics and Society · Physics 2009-05-27 Ernesto Estrada , Naomichi Hatano

A unifying graph theoretic framework for the modelling of metro transportation networks is proposed. This is achieved by first introducing a basic graph framework for the modelling of the London underground system from a diffusion law point…

Machine Learning · Computer Science 2021-05-12 Bruno Scalzo Dees , Yao Lei Xu , Anthony G. Constantinides , Danilo P. Mandic

Each complex network (or class of networks) presents specific topological features which characterize its connectivity and highly influence the dynamics of processes executed on the network. The analysis, discrimination, and synthesis of…

Disordered Systems and Neural Networks · Physics 2009-09-29 Luciano da F. Costa , Francisco A. Rodrigues , Gonzalo Travieso , P. R. Villas Boas

The fundamental concept of applying the system methodology to network analysis declares that network architecture should take into account services and applications which this network provides and supports. This work introduces a formal…

Networking and Internet Architecture · Computer Science 2015-09-03 Andrey A. Shchurov

In this review we establish various connections between complex networks and symmetry. While special types of symmetries (e.g., automorphisms) are studied in detail within discrete mathematics for particular classes of deterministic graphs,…

General Finance · Quantitative Finance 2010-11-04 Diego Garlaschelli , Franco Ruzzenenti , Riccardo Basosi

Network sampling is a crucial technique for analyzing large or partially observable networks. However, the effectiveness of different sampling methods can vary significantly depending on the context. In this study, we empirically compare…

Social and Information Networks · Computer Science 2025-05-05 Quoc Chuong Nguyen

We constructs a new network by superposition of hexahedron , which are scale-free, highly sparse,disassortative ,and maximal planar graphs. The network degree distribution, agglomeration coefficient and degree of correlation are computed…

Physics and Society · Physics 2021-04-12 Li Haijun , Lu Qingping

All networks can be analyzed at multiple scales. A higher scale of a network is made up of macro-nodes: subgraphs that have been grouped into individual nodes. Recasting a network at higher scales can have useful effects, such as decreasing…

Social and Information Networks · Computer Science 2022-02-18 Ross Griebenow , Brennan Klein , Erik Hoel

Modeling Internet growth is important both for understanding the current network and to predict and improve its future. To date, Internet models have typically attempted to explain a subset of the following characteristics: network…

Networking and Internet Architecture · Computer Science 2008-06-25 Petter Holme , Josh Karlin , Stephanie Forrest

In order to maintain consistent quality of service, computer network engineers face the task of monitoring the traffic fluctuations on the individual links making up the network. However, due to resource constraints and limited access, it…

Applications · Statistics 2010-05-26 Joel Vaughan , Stilian A. Stoev , George Michailidis

Real-world networks exhibit prominent hierarchical and modular structures, with various subgraphs as building blocks. Most existing studies simply consider distinct subgraphs as motifs and use only their numbers to characterize the…

Social and Information Networks · Computer Science 2019-12-17 Qi Xuan , Jinhuan Wang , Minghao Zhao , Junkun Yuan , Chenbo Fu , Zhongyuan Ruan , Guanrong Chen

The key research question we are addressing in this paper, is how local distance information can be integrated into the global structure determination, in the form of network graphs realization for IoT networks. IoT networks will be…

Systems and Control · Electrical Eng. & Systems 2024-10-07 Indrakshi Dey , Nicola Marchetti

Networks are mathematical structures that are universally used to describe a large variety of complex systems such as the brain or the Internet. Characterizing the geometrical properties of these networks has become increasingly relevant…

Physics and Society · Physics 2015-05-26 Zhihao Wu , Giulia Menichetti , Christoph Rahmede , Ginestra Bianconi

Exploring statistics of locally connected subgraph patterns (also known as network motifs) has helped researchers better understand the structure and function of biological and online social networks (OSNs). Nowadays the massive size of…

Social and Information Networks · Computer Science 2014-03-28 Pinghui Wang , John C. S. Lui , Bruno Ribeiro , Don Towsley , Junzhou Zhao , Xiaohong Guan

The application of network analysis has found great success in a wide variety of disciplines; however, the popularity of these approaches has revealed the difficulty in handling networks whose complexity scales rapidly. One of the main…

Methodology · Statistics 2023-10-24 Anna Malinovskaya , Philipp Otto

We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

Condensed Matter · Physics 2009-11-10 Hildegard Meyer-Ortmanns

High throughput is of particular interest in data center and HPC networks. Although myriad network topologies have been proposed, a broad head-to-head comparison across topologies and across traffic patterns is absent, and the right way to…

Networking and Internet Architecture · Computer Science 2016-11-16 Sangeetha Abdu Jyothi , Ankit Singla , P. Brighten Godfrey , Alexandra Kolla

A majority of real life networks are weighted and sparse. The present article aims at characterization of weighted networks based on sparsity, as a measure of inherent diversity, of different network parameters. It utilizes sparsity index…

Discrete Mathematics · Computer Science 2021-01-12 Swati Goswami , Asit K. Das , Subhas C. Nandy

From the perspective of network analysis, the ubiquitous networks are comprised of regular and irregular components, which makes uncovering the complexity of network structures to be a fundamental challenge. Exploring the regular…

Social and Information Networks · Computer Science 2018-08-30 Tao Wu , Shaojie Qiao , Xingping Xian , Xi-Zhao Wang , Wei Wang , Yanbing Liu
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