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A concept of higher order neighborhood in complex networks, introduced previously (PRE \textbf{73}, 046101, (2006)), is systematically explored to investigate larger scale structures in complex networks. The basic idea is to consider each…

Statistical Mechanics · Physics 2016-08-16 Roberto F. S. Andrade , José G. V. Miranda , Suani T. R. Pinho , Thierry Petit Lobão

Core-periphery is a key feature of large-scale networks underlying a wide range of social, biological, and transportation phenomena. Despite its prevalence in empirical data, it is unclear whether this property is a consequence of more…

Physics and Society · Physics 2024-01-26 Javier Ureña-Carrion , Fariba Karimi , Gerardo Iñiguez , Mikko Kivelä

Many edge prediction methods have been proposed, based on various local or global properties of the structure of an incomplete network. Community structure is another significant feature of networks: Vertices in a community are more densely…

Information Retrieval · Computer Science 2012-05-16 Bowen Yan , Steve Gregory

Many complex systems can be represented as networks, and how a network breaks up into subnetworks or communities is of wide interest. However, the development of a method to detect nodes important to communities that is both fast and…

Physics and Society · Physics 2015-05-27 Yang Wang , Zengru Di , Ying Fan

Complex networks are a powerful paradigm to model complex systems. Specific network models, e.g., multilayer networks, temporal networks, and signed networks, enrich the standard network representation with additional information to better…

Data Structures and Algorithms · Computer Science 2019-06-05 Edoardo Galimberti

We perform factor analysis on the raw data of the four major neighborhood and shortest paths-based centrality metrics (Degree, Eigenvector, Betweeenness and Closeness) and propose a novel quantitative measure called the…

Social and Information Networks · Computer Science 2023-10-11 Natarajan Meghanathan

Community Detection algorithms are used to detect densely connected components in complex networks and reveal underlying relationships among components. As a special type of networks, spatial networks are usually generated by the…

Social and Information Networks · Computer Science 2022-10-18 Yunlei Liang , Jiawei Zhu , Wen Ye , Song Gao

Pairwise network comparison is essential for various applications, including neuroscience, disease research, and dynamic network analysis. While existing literature primarily focuses on comparing entire network structures, we address a…

Methodology · Statistics 2025-10-21 Runbing Zheng

We use the k-core decomposition to visualize large scale complex networks in two dimensions. This decomposition, based on a recursive pruning of the least connected vertices, allows to disentangle the hierarchical structure of networks by…

Networking and Internet Architecture · Computer Science 2016-08-16 José Ignacio Alvarez-Hamelin , Luca Dall'Asta , Alain Barrat , Alessandro Vespignani

Based on the density of connections between the nodes of high degree, we introduce two bounds of the spectral radius. We use these bounds to split a network into two sets, one of these sets contains the high degree nodes, we refer to this…

Physics and Society · Physics 2015-12-09 R J Mondragon

Consider two networks on overlapping, non-identical vertex sets. Given vertices of interest in the first network, we seek to identify the corresponding vertices, if any exist, in the second network. While in moderately sized networks graph…

Machine Learning · Statistics 2019-11-07 Heather G. Patsolic , Youngser Park , Vince Lyzinski , Carey E. Priebe

Betweenness centrality is a metric that seeks to quantify a sense of the importance of a vertex in a network graph in terms of its "control" on the distribution of information along geodesic paths throughout that network. This quantity…

Networking and Internet Architecture · Computer Science 2009-08-28 Eric D. Kolaczyk , David B. Chua , Marc Barthelemy

In this note we briefly study the feasibility of community detection in complex networks using peripheral vertices. Our method suggests a novel direction in axiomizing the problem of clustering in graphs and complex networks by looking at…

Physics and Society · Physics 2015-11-06 Kasra Manshaei , Christian Bauckhage

The topological (or graph) structures of real-world networks are known to be predictive of multiple dynamic properties of the networks. Conventionally, a graph structure is represented using an adjacency matrix or a set of hand-crafted…

Social and Information Networks · Computer Science 2016-10-21 Cheng Li , Xiaoxiao Guo , Qiaozhu Mei

We present a study on connection errors in networks of linear features and methods of error detection. We model networks with special connection specifications as networks with hierarchically connected features and define errors considering…

Data Structures and Algorithms · Computer Science 2015-04-07 Panteleimon Rodis

Contour detection has been a fundamental component in many image segmentation and object detection systems. Most previous work utilizes low-level features such as texture or saliency to detect contours and then use them as cues for a…

Computer Vision and Pattern Recognition · Computer Science 2015-04-24 Gedas Bertasius , Jianbo Shi , Lorenzo Torresani

We propose a method for obtaining parsimonious decompositions of networks into higher order interactions which can take the form of arbitrary motifs.The method is based on a class of analytically solvable generative models, where vertices…

Social and Information Networks · Computer Science 2024-04-03 Anatol E. Wegner , Sofia C. Olhede

Two concepts of centrality have been defined in complex networks. The first considers the centrality of a node and many different metrics for it has been defined (e.g. eigenvector centrality, PageRank, non-backtracking centrality, etc). The…

Social and Information Networks · Computer Science 2016-03-14 Paolo Barucca , Daniele Tantari , Fabrizio Lillo

We explore a novel method to generate and characterize complex networks by means of their embedding on hyperbolic surfaces. Evolution through local elementary moves allows the exploration of the ensemble of networks which share common…

Statistical Mechanics · Physics 2007-09-19 T. Aste , T. Di Matteo , S. T. Hyde

A growing number of systems are represented as networks whose architecture conveys significant information and determines many of their properties. Examples of network architecture include modular, bipartite, and core-periphery structures.…

General Finance · Quantitative Finance 2016-06-29 Paolo Barucca , Fabrizio Lillo
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