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In communication networks theory the concepts of networkness and network surplus have recently been defined. Together with transmission and betweenness centrality, they were based on the assumption of equal communication between vertices.…

Combinatorics · Mathematics 2017-12-05 Suzana Antunović , Tonći Kokan , Tanja Vojković , Damir Vukičević

The goal of network embedding is to transform nodes in a network to a low-dimensional embedding vectors. Recently, heterogeneous network has shown to be effective in representing diverse information in data. However, heterogeneous network…

Social and Information Networks · Computer Science 2019-12-21 Seonghyeon Lee , Chanyoung Park , Hwanjo Yu

We study the betweenness centrality of fractal and non-fractal scale-free network models as well as real networks. We show that the correlation between degree and betweenness centrality $C$ of nodes is much weaker in fractal network models…

Physics and Society · Physics 2009-11-13 Maksim Kitsak , Shlomo Havlin , Gerald Paul , Massimo Riccaboni , Fabio Pammolli , H. Eugene Stanley

From longitudinal biomedical studies to social networks, graphs have emerged as a powerful framework for describing evolving interactions between agents in complex systems. In such studies, after pre-processing, the data can be represented…

Applications · Statistics 2018-03-12 Claire Donnat , Susan Holmes

Many real world systems can be expressed as complex networks of interconnected nodes. It is frequently important to be able to quantify the relative importance of the various nodes in the network, a task accomplished by defining some…

Physics and Society · Physics 2016-08-08 José Ricardo Furlan Ronqui , Gonzalo Travieso

Flexibility is often claimed as a competitive advantage when proposing new network designs. However, most proposals provide only qualitative arguments for their improved support of flexibility. Quantitative arguments vary a lot among…

Networking and Internet Architecture · Computer Science 2015-12-17 Wolfgang Kellerer , Arsany Basta , Andreas Blenk

Random geometric networks consist of 1) a set of nodes embedded randomly in a bounded domain $\mathcal{V} \subseteq \mathbb{R}^d$ and 2) links formed probabilistically according to a function of mutual Euclidean separation. We quantify how…

Social and Information Networks · Computer Science 2016-11-17 Alexander P. Kartun-Giles , Orestis Georgiou , Carl P. Dettmann

Today, there exist many centrality measures for assessing the importance of nodes in a network as a function of their position and the underlying topology. One class of such measures builds on eigenvector centrality, where the importance of…

Social and Information Networks · Computer Science 2020-02-28 James B Glattfelder

In Communication Theory, intermedia agenda-setting refers to the influence that different news sources may have on each other, and how this subsequently affects the breadth of information that is presented to the public. Several studies…

Physics and Society · Physics 2020-06-23 Samuel Stern , Giacomo Livan , Robert E. Smith

This paper presents methods to compare high order networks, defined as weighted complete hypergraphs collecting relationship functions between elements of tuples. They can be considered as generalizations of conventional networks where only…

Social and Information Networks · Computer Science 2016-01-20 Weiyu Huang , Alejandro Ribeiro

Edge computing is highly demanded to achieve their full potentials Internet of Things (IoT), since various IoT systems have been generating big data facilitating modern latency-sensitive applications. As a basic problem, network dismantling…

Social and Information Networks · Computer Science 2023-10-04 Yaguang Guo , Wenxin Xie , Qingren Wang , Dengcheng Yan , Yiwen Zhang

This article focuses on the identification of the number of paths with different lengths between pairs of nodes in complex networks and how, by providing comprehensive information about the network topology, such an information can be…

Physics and Society · Physics 2009-09-29 Luciano da Fontoura Costa , Francisco Aparecido Rodrigues

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

We introduce distance entropy as a measure of homogeneity in the distribution of path lengths between a given node and its neighbours in a complex network. Distance entropy defines a new centrality measure whose properties are investigated…

Physics and Society · Physics 2018-05-09 Massimo Stella , Manlio De Domenico

Random walks are the simplest way to explore or search a graph, and have revealed a very useful tool to investigate and characterize the structural properties of complex networks from the real world, e.g. they have been used to identify the…

Statistical Mechanics · Physics 2020-06-11 Timoteo Carletti , Malbor Asllani , Duccio Fanelli , Vito Latora

The betweenness centrality of graphs using random walk paths instead of geodesics is studied. A scaling collapse with no adjustable parameters is obtained as the graph size $N$ is varied; the scaling curve depends on the graph model. A…

Physics and Society · Physics 2016-07-04 O. Narayan , I. Saniee

An analytic effective medium theory is constructed to study the mean access times for random walks on hybrid disordered structures formed by embedding complex networks into regular lattices, considering transition rates $F$ that are…

Disordered Systems and Neural Networks · Physics 2009-11-13 Paul E. Parris , Julián Candia , V. M. Kenkre

The analysis of social networks, in particular those describing face-to-face interactions between individuals, is complex due to the intertwining of the topological and temporal aspects. We revisit them both, using public data recorded by…

Physics and Society · Physics 2024-02-07 Stephane Plaszczynski , Gilberto Nakamura , Basile Grammaticos , Mathilde Badoual

Human communication, the essence of collective social phenomena ranging from small-scale organizations to worldwide online platforms, features intense reciprocal interactions between members in order to achieve stability, cohesion, and…

Network analysis is an important tool in understanding the behavior of complex systems of interacting entities. However, due to the limitations of data gathering technologies, some interactions might be missing from the network model. This…

Social and Information Networks · Computer Science 2016-08-25 Soumya Sarkar , Sanjukta Bhowmick , Suhansanu Kumar , Animesh Mukherjee