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Centrality, which quantifies the "importance" of individual nodes, is among the most essential concepts in modern network theory. As there are many ways in which a node can be important, many different centrality measures are in use. Here,…

Physics and Society · Physics 2020-02-03 Aleks J. Gurfinkel , Per Arne Rikvold

We study the task of selecting $k$ nodes, in a social network of size $n$, to seed a diffusion with maximum expected spread size, under the independent cascade model with cascade probability $p$. Most of the previous work on this problem…

Social and Information Networks · Computer Science 2022-05-24 Dean Eckles , Hossein Esfandiari , Elchanan Mossel , M. Amin Rahimian

The problem of assigning centrality values to nodes and edges in graphs has been widely investigated during last years. Recently, a novel measure of node centrality has been proposed, called k-path centrality index, which is based on the…

Social and Information Networks · Computer Science 2013-03-08 Pasquale De Meo , Emilio Ferrara , Giacomo Fiumara , Angela Ricciardello

Despite the growing interest in characterizing the local geometry leading to the global topology of networks, our understanding of the local structure of complex networks, especially real-world networks, is still incomplete. Here, we…

Social and Information Networks · Computer Science 2020-12-08 Amirhossein Farzam , Areejit Samal , Jürgen Jost

Hierarchy and centrality are two popular notions used to characterize the importance of entities in complex systems. Indeed, many complex systems exhibit a natural hierarchical structure, and centrality is a fundamental characteristic…

Social and Information Networks · Computer Science 2021-03-03 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

Graph centrality measures use the structure of a network to quantify central or "important" nodes, with applications in web search, social media analysis, and graphical data mining generally. Traditional centrality measures such as the well…

Social and Information Networks · Computer Science 2021-01-20 Liang Lyu , Brandon Fain , Kamesh Munagala , Kangning Wang

Most network studies rely on an observed network that differs from the underlying network which is obfuscated by measurement errors. It is well known that such errors can have a severe impact on the reliability of network metrics,…

Social and Information Networks · Computer Science 2020-01-09 Christoph Martin , Peter Niemeyer

Phylogenetic networks which are, as opposed to trees, suitable to describe processes like hybridization and horizontal gene transfer, play a substantial role in evolutionary research. However, while non-treelike events need to be taken into…

Populations and Evolution · Quantitative Biology 2022-07-06 Mareike Fischer , Tom Niklas Hamann , Kristina Wicke

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

Typing Yesterday into the search-bar of your browser provides a long list of websites with, in top places, a link to a video by The Beatles. The order your browser shows its search results is a notable example of the use of network…

Applications · Statistics 2018-10-17 Carla Sciarra , Guido Chiarotti , Francesco Laio , Luca Ridolfi

The rapid expansion of social network provides a suitable platform for users to deliver messages. Through the social network, we can harvest resources and share messages in a very short time. The developing of social network has brought us…

Social and Information Networks · Computer Science 2020-10-28 Pengli Lu , Chen Dong

The importance of a node in a social network is identified through a set of measures called centrality. Degree centrality, closeness centrality, betweenness centrality and clustering coefficient are the most frequently used metrics to…

Social and Information Networks · Computer Science 2021-09-13 Annamaria Ficara , Giacomo Fiumara , Pasquale De Meo , Antonio Liotta

Complex networks have become essential tools for understanding diverse phenomena in social systems, traffic systems, biomolecular systems, and financial systems. Identifying critical nodes is a central theme in contemporary research,…

Social and Information Networks · Computer Science 2025-09-16 Duxin Chen , Jiawen Chen , Xiaoyu Zhang , Qinghan Jia , Xiaolu Liu , Ye Sun , Linyuan Lv , Wenwu Yu

Centrality is a key property of complex networks that influences the behavior of dynamical processes, like synchronization and epidemic spreading, and can bring important information about the organization of complex systems, like our brain…

Physics and Society · Physics 2019-01-24 Francisco Aparecido Rodrigues

Identifying the most influential nodes in networked systems is of vital importance to optimize their function and control. Several scalar metrics have been proposed to that effect, but the recent shift in focus towards network structures…

Online Social Networks have embarked on the importance of connection strength measures which has a broad array of applications such as, analyzing diffusion behaviors, community detection, link predictions, recommender systems. Though there…

Social and Information Networks · Computer Science 2022-12-22 Soumita Das , Anupam Biswas

How to identify influential nodes in complex networks is an important aspect in the study of complex network. In this paper, a novel fuzzy local dimension (FLD) is proposed to rank the influential nodes in complex networks, where a node…

Social and Information Networks · Computer Science 2019-02-20 Tao Wen , Wen Jiang

It is of paramount importance to uncover influential nodes to control diffusion phenomena in a network. In recent works, there is a growing trend to investigate the role of the community structure to solve this issue. Up to now, the vast…

Social and Information Networks · Computer Science 2022-02-02 Stephany Rajeh , Marinette Savonnet , Eric Leclercq , Hocine Cherifi

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

The degree distribution is an important characteristic of complex networks. In many data analysis applications, the networks should be represented as fixed-length feature vectors and therefore the feature extraction from the degree…

Social and Information Networks · Computer Science 2014-07-23 Sadegh Aliakbary , Jafar Habibi , Ali Movaghar