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Related papers: Integration in Social Networks

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A $k$-truss is an edge-induced subgraph $H$ such that each of its edges belongs to at least $k-2$ triangles of $H$. This notion has been introduced around ten years ago in social network analysis and security, as a form of cohesive subgraph…

Data Structures and Algorithms · Computer Science 2020-10-05 Alessio Conte , Roberto Grossi , Andrea Marino , Luca Versari

We study spatial embeddings of random graphs in which nodes are randomly distributed in geographical space. We let the edge probability between any two nodes to be dependent on the spatial distance between them and demonstrate that this…

Physics and Society · Physics 2009-11-11 Ling Heng Wong , Philippa Pattison , Garry Robins

In recent years, the concepts of ``diversity'' and ``inclusion'' have attracted considerable attention across a range of fields, encompassing both social and biological disciplines. To fully understand these concepts, it is critical to not…

Social and Information Networks · Computer Science 2024-10-10 Keita Kinjo

The connected $k$-median problem is a constrained clustering problem that combines distance-based $k$-clustering with connectivity information. The problem allows to input a metric space and an unweighted undirected connectivity graph that…

Data Structures and Algorithms · Computer Science 2025-07-04 Jan Eube , Kelin Luo , Dorian Reineccius , Heiko Röglin , Melanie Schmidt

Crosstalk is defined as the set of unwanted interactions among the different entities of a network. Crosstalk is present in various degrees in every system where information is transmitted through a means that is accessible by all the…

Molecular Networks · Quantitative Biology 2010-12-08 Dionysios Barmpoutis , Richard M. Murray

Social media has transformed global communication, yet its network structure can systematically distort perceptions through effects like the majority illusion and echo chambers. We introduce the perception gap index, a graph-based measure…

Social and Information Networks · Computer Science 2025-11-18 Hemant Kumar Gehlot , Mohammad Shirzadi , Junhao Gan , Ahad N. Zehmakan

In this paper we elaborate upon a measure of node influence in social networks, which was recently proposed by Vassio et al., IEEE Trans. Control Netw. Syst., 2014. This measure quantifies the ability of the node to sway the average opinion…

Optimization and Control · Mathematics 2016-11-10 Wilbert Samuel Rossi , Paolo Frasca

Communities are an important feature of social networks. In fact, it seems that communities are necessary for a social network to be efficient. However, there exist very few formal studies of the actual role of communities in social…

Social and Information Networks · Computer Science 2019-02-01 Peter Marbach

This paper proposes a new measure of node centrality in social networks, the Harmonic Influence Centrality, which emerges naturally in the study of social influence over networks. Using an intuitive analogy between social and electrical…

Optimization and Control · Mathematics 2014-01-16 Luca Vassio , Fabio Fagnani , Paolo Frasca , Asuman Ozdaglar

How are people linked in a highly connected society? Since in many networks a power-law (scale-free) node-degree distribution can be observed, power-law might be seen as a universal characteristics of networks. But this study of…

Physics and Society · Physics 2023-06-22 Matthias Scholz

There are many indexes (measures or metrics) in Social Network Analysis (SNA), like density, cohesion, etc. We have defined a new SNA index called "comfortability". In this paper, core comfortable team of a social network is defined based…

Social and Information Networks · Computer Science 2014-06-05 Lakshmi Prabha S , T. N. Janakiraman

Community structure analysis is a powerful tool for social networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained…

Physics and Society · Physics 2015-05-11 Hui-Jia Li , J J. Daniels

Many real-world applications give rise to large heterogeneous networks where nodes and edges can be of any arbitrary type (e.g., user, web page, location). Special cases of such heterogeneous graphs include homogeneous graphs, bipartite,…

Social and Information Networks · Computer Science 2019-05-14 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

Motivated by recently discovered privacy attacks on social networks, we study the problem of anonymizing the underlying graph of interactions in a social network. We call a graph (k,l)-anonymous if for every node in the graph there exist at…

Databases · Computer Science 2008-11-03 Tomas Feder , Shubha U. Nabar , Evimaria Terzi

Most social, technological and biological networks are embedded in a finite dimensional space, and the distance between two nodes influences the likelihood that they link to each other. Indeed, in social systems, the chance that two…

Physics and Society · Physics 2018-06-27 Paul Balister , Chaoming Song , Oliver Riordan , Bela Bollobas , Albert-Laszlo Barabasi

A k-tree is either a complete graph on (k+1) vertices or given a k-tree G' with n vertices, a k-tree G with (n+1) vertices can be constructed by introducing a new vertex v and picking a k-clique Q in G' and then joining each vertex u in Q.…

Discrete Mathematics · Computer Science 2011-03-25 Suresh Badarla , R Rama

Members of social networks are given opportunities to bestow positive recognition upon one another by means of constructs such as "likes" and "retweets." Although recipients no doubt experience utility from these actions, one might question…

Social and Information Networks · Computer Science 2016-06-17 Stan Palasek

Social network alignment has been an important research problem for social network analysis in recent years. With the identified shared users across networks, it will provide researchers with the opportunity to achieve a more comprehensive…

Social and Information Networks · Computer Science 2020-07-07 Yuxiang Ren , Lin Meng , Jiawei Zhang

In social network analysis, the size of the k-core, i.e., the maximal induced subgraph of the network with minimum degree at least k, is frequently adopted as a typical metric to evaluate the cohesiveness of a community. We address the…

Optimization and Control · Mathematics 2023-05-03 Martina Cerulli , Domenico Serra , Carmine Sorgente , Claudia Archetti , Ivana Ljubic

Interconnected networks are mathematical representation of systems where two or more simple networks are coupled to each other. Depending on the coupling weight between the two components, the interconnected network can function in two…

Physics and Society · Physics 2015-10-28 Faryad Darabi Sahneh , Caterina Scoglio , Piet Van Mieghem
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