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The association between tie strength and social structure is a fundamental topic in the social sciences. We study this association by analyzing tie strength in higher-order networks, an increasingly relevant model which can encode group…

Social and Information Networks · Computer Science 2024-09-26 Arnab Sarker , Jean-Baptiste Seby , Austin R. Benson , Ali Jadbabaie

There is great significance in evaluating a node's Influence ranking in complex networks. Over the years, many researchers have presented different measures for quantifying node interconnectedness within networks. Therefore, this paper…

Social and Information Networks · Computer Science 2024-08-05 Auwal Tijjani Amshi

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…

Social networks are discrete systems with a large amount of heterogeneity among nodes (individuals). Measures of centrality aim at a quantification of nodes' importance for structure and function. Here we ask to which extent the most…

Physics and Society · Physics 2013-06-12 Konstantin Klemm

Comparative graph and network analysis play an important role in both systems biology and pattern recognition, but existing surveys on the topic have historically ignored or underserved one or the other of these fields. We present an…

Social and Information Networks · Computer Science 2019-05-17 Emily Evans , Marissa Graham

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

Spectral centrality measures allow to identify influential individuals in social groups, to rank Web pages by their popularity, and even to determine the impact of scientific researches. The centrality score of a node within a network…

Physics and Society · Physics 2011-09-22 Vincenzo Nicosia , Regino Criado , Miguel Romance , Giovanni Russo , Vito Latora

Navigability is a distinctive features of graphs associated with artificial or natural systems whose primary goal is the transportation of information or goods. We say that a graph $\mathcal{G}$ is navigable when an agent is able to…

Data Structures and Algorithms · Computer Science 2020-05-20 Pasquale De Meo , Mark Levene , Alessandro Provetti

We propose a new method for assessing agents influence in network structures, which takes into consideration nodes attributes, individual and group influences of nodes, and the intensity of interactions. This approach helps us to identify…

Social and Information Networks · Computer Science 2016-10-20 F. Aleskerov , N. Meshcheryakova , S. Shvydun

We present the pattern underlying some of the properties of natural numbers, using the framework of complex networks. The network used is a divisibility network in which each node has a fixed identity as one of the natural numbers and the…

General Mathematics · Mathematics 2020-07-03 Abiya Rajans , G. Ambika

Community-aware centrality is an emerging research area in network science concerned with the importance of nodes in relation to community structure. Measures are a function of a network's structure and a given partition. Previous…

Social and Information Networks · Computer Science 2021-01-08 Thomas Magelinski , Mihovil Bartulovic , Kathleen M. Carley

Network metrics form a fundamental part of the network analysis toolbox. Used to quantitatively measure different aspects of the network, these metrics can give insights into the underlying network structure and function. In this work, we…

Machine Learning · Statistics 2015-06-04 Harold Soh

In this article we present a new centrality measure called ksi-centrality. We show that ksi-centrality distinguishes real networks from random ones, similar to degree centrality: the ksi-centrality distribution is right-skewed for real…

Social and Information Networks · Computer Science 2026-05-08 Mikhail Tuzhilin

Network centralization, driven by hub nodes, impacts communication efficiency, structural integration, and dynamic processes such as diffusion and synchronization. Although numerous centralization measures exist, a major challenge lies in…

Social and Information Networks · Computer Science 2025-12-01 Majid Saberi , Samin Aref

While scholarly citations are pivotal for assessing academic impact, they often reflect systemic biases beyond research quality. This study examines a critical yet underexplored driver of citation disparities: authors' structural positions…

Digital Libraries · Computer Science 2025-12-29 Renlong Jie , Longfeng Zhao , Chen Chu , Danyang Jia , Zhen Wang

Centrality metrics play a crucial role in network analysis, while the choice of specific measures significantly influences the accuracy of conclusions as each measure represents a unique concept of node importance. Among over 400 proposed…

Physics and Society · Physics 2025-06-06 Pavel Chebotarev , Dmitry Gubanov

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

Network centrality measures play a crucial role in understanding graph structures, assessing the importance of nodes, paths, or cycles based on directed or reciprocal interactions encoded by vertices and edges. Estrada and Ross extended…

Computational Geometry · Computer Science 2024-04-26 John Rick D. Manzanares , Paul Samuel P. Ignacio

Centrality measures are used in network science to identify the most important vertices for transmission of information and dynamics on a graph. One of these measures, introduced by Estrada and collaborators, is the $\beta$-subgraph…

Combinatorics · Mathematics 2021-06-08 Francesco Ballini , Nikita Deniskin

Centrality metrics are a popular tool in Network Science to identify important nodes within a graph. We introduce the Potential Gain as a centrality measure that unifies many walk-based centrality metrics in graphs and captures the notion…

Social and Information Networks · Computer Science 2020-03-16 Pasquale De Meo , Mark Levene , Fabrizio Messina , Alessandro Provetti
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