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Among all characteristics exhibited by natural and man-made networks the small-world phenomenon is surely the most relevant and popular. But despite its significance, a reliable and comparable quantification of the question `how small is a…

Physics and Society · Physics 2019-11-27 Gorka Zamora-López , Romain Brasselet

Random walk centrality is a fundamental metric in graph mining for quantifying node importance and influence, defined as the weighted average of hitting times to a node from all other nodes. Despite its ability to capture rich graph…

Artificial Intelligence · Computer Science 2025-10-24 Changan Liu , Zixuan Xie , Ahad N. Zehmakan , Zhongzhi Zhang

We study how to detect groups in a complex network each of which consists of component nodes sharing a similar connection pattern. Based on the mixture models and the exploratory analysis set up by Newman and Leicht (Newman and Leicht 2007…

Data Analysis, Statistics and Probability · Physics 2008-12-17 J. Wang , C. -H. Lai

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

The knowledge of the topology of a wired network is often of fundamental importance. For instance, in the context of Power Line Communications (PLC) networks it is helpful to implement data routing strategies, while in power distribution…

Networking and Internet Architecture · Computer Science 2017-08-22 Federico Passerini , Andrea M. Tonello

Sampling from large networks represents a fundamental challenge for social network research. In this paper, we explore the sensitivity of different sampling techniques (node sampling, edge sampling, random walk sampling, and snowball…

Social and Information Networks · Computer Science 2017-02-20 Claudia Wagner , Philipp Singer , Fariba Karimi , Jürgen Pfeffer , Markus Strohmaier

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

Neural architecture search has attracted wide attentions in both academia and industry. To accelerate it, researchers proposed weight-sharing methods which first train a super-network to reuse computation among different operators, from…

Machine Learning · Computer Science 2020-12-16 Xin Chen , Lingxi Xie , Jun Wu , Longhui Wei , Yuhui Xu , Qi Tian

Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

Whether a scientific paper is cited is related not only to the influence of its author(s) but also to the journal publishing it. Scientists, either proficient or tender, usually submit their most important work to prestigious journals which…

Physics and Society · Physics 2014-05-12 Zheng Yao , Xiao-Long Peng , Li-Jie Zhang , Xin-Jian Xu

While statistical analysis of a single network has received a lot of attention in recent years, with a focus on social networks, analysis of a sample of networks presents its own challenges which require a different set of analytic tools.…

Methodology · Statistics 2019-10-23 Jesús D. Arroyo-Relión , Daniel Kessler , Elizaveta Levina , Stephan F. Taylor

This paper studies reduced-order modeling of dynamic networks with strongly connected topology. Given a graph clustering of an original complex network, we construct a quotient graph with less number of vertices, where the edge weights are…

Optimization and Control · Mathematics 2020-03-10 Xiaodong Cheng , Lanlin Yu , Dingchao Ren , Jacquelien M. A. Scherpen

Dual Tree Single Clock (DTSC) Adiabatic Capacitive Neuron (ACN) circuits offer the potential for highly energy-efficient Artificial Neural Network (ANN) computation in full custom analog IC designs. The efficient mapping of Artificial…

Emerging Technologies · Computer Science 2025-09-24 Mike Smart , Sachin Maheshwari , Himadri Singh Raghav , Alexander Serb

In this paper we examine a number of methods for probing and understanding the large-scale structure of networks that evolve over time. We focus in particular on citation networks, networks of references between documents such as papers,…

Physics and Society · Physics 2007-10-18 E. A. Leicht , Gavin Clarkson , Kerby Shedden , M. E. J. Newman

Transcription networks, and other directed networks can be characterized by some topological observables such as for example subgraph occurrence (network motifs). In order to perform such kind of analysis, it is necessary to be able to…

Quantitative Methods · Quantitative Biology 2007-06-04 D. Fusco , B. Bassetti , P. Jona , M. Cosentino Lagomarsino

Hierarchical tree structures are common in many real-world systems, from tree roots and branches to neuronal dendrites and biologically inspired artificial neural networks, as well as in technological networks for organizing and searching…

Statistical Mechanics · Physics 2025-02-04 Davide Cipollini , Lambert Schomaker

We present an algorithm to compute path homology for simple digraphs, and use it to topologically analyze various small digraphs en route to an analysis of complex temporal networks which exhibit such digraphs as underlying motifs. The…

Social and Information Networks · Computer Science 2021-01-15 Samir Chowdhury , Steve Huntsman , Matvey Yutin

Acyclic networks are a class of complex networks in which links are directed and don't have closed loops. Here we present an algorithm for transforming an ordinary undirected complex network into an acyclic one. Further analysis of an…

Physics and Society · Physics 2012-07-17 Roman Shevchuk , Andrew Snarskii

Despite the successes of machine learning methods in physical sciences, prediction of the Hamiltonian, and thus electronic properties, is still unsatisfactory. Here, based on graph neural network architecture, we present an extendable…

Materials Science · Physics 2023-01-12 Mao Su , Ji-Hui Yang , Hong-Jun Xiang , Xin-Gao Gong

Quantification of symmetries in complex networks is typically done globally in terms of automorphisms. Extending previous methods to locally assess the symmetry of nodes is not straightforward. Here we present a new framework to quantify…

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