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Related papers: The Iterated Local Model for Social Networks

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Complex networks are pervasive in the real world, capturing dyadic interactions between pairs of vertices, and a large corpus has emerged on their mining and modeling. However, many phenomena are comprised of polyadic interactions between…

Discrete Mathematics · Computer Science 2021-02-01 Natalie C. Behague , Anthony Bonato , Melissa A. Huggan , Rehan Malik , Trent G. Marbach

We introduce a new directed graph model for social networks, based on the transitivity of triads. In the Iterated Local Directed Transitivity (ILDT) model, new nodes are born over discrete time-steps, and inherit the link structure of their…

Social and Information Networks · Computer Science 2020-04-07 Anthony Bonato , Daniel W. Cranston , Melissa Huggan , Trent Marbach , Raja Mutharasan

Anti-transitivity captures the notion that enemies of enemies are friends, and arises naturally in the study of adversaries in social networks and in the study of conflicting nation states or organizations. We present a simplified,…

Combinatorics · Mathematics 2017-04-20 Anthony Bonato , Ewa Infeld , Hari Pokhrel , Pawel Pralat

Transitivity is a central, generative principle in social and other complex networks, capturing the tendency for two nodes with a common neighbor to form a direct connection. We propose a new model for highly dense, complex networks based…

Social and Information Networks · Computer Science 2026-02-02 Anthony Bonato , MacKenzie Carr , Ketan Chaudhary , Trent G. Marbach , Teddy Mishura

A key generative principle within social and other complex networks is transitivity, where friends of friends are more likely friends. We propose a new model for highly dense complex networks based on transitivity, called the Iterated Local…

Social and Information Networks · Computer Science 2023-01-24 Anthony Bonato , Ketan Chaudhary

We present a deterministic model for on-line social networks (OSNs) based on transitivity and local knowledge in social interactions. In the Iterated Local Transitivity (ILT) model, at each time-step and for every existing node $x$, a new…

Social and Information Networks · Computer Science 2013-08-16 Anthony Bonato , Noor Hadi , Paul Horn , Pawel Pralat , Changping Wang

Deterministic complex networks that use iterative generation algorithms have been found to more closely mirror properties found in real world networks than the traditional uniform random graph models. In this paper we introduce a new,…

Combinatorics · Mathematics 2022-09-05 Erin Meger , Abigail Raz

Modeling how information travels throughout a network has vast applications across social sciences, cybersecurity, and graph-based neural networks. In this paper, we consider the zero forcing model for information diffusion on iterative…

Combinatorics · Mathematics 2025-07-18 Christopher Brice , Erin Meger , Nhat-Dinh Nguyen , Allen Rakhamimov , Abigail Raz

Graph representation learning has become a prominent tool for the characterization and understanding of the structure of networks in general and social networks in particular. Typically, these representation learning approaches embed the…

We study the spread of influence in a social network based on the Linear Threshold model. We derive an analytical expression for evaluating the expected size of the eventual influenced set for a given initial set, using the probability of…

Other Computer Science · Computer Science 2010-02-09 Srinivasan Venkatramanan , Anurag Kumar

Understanding the formation of social ties requires disentangling the roles of individual traits and local network structure. We analyse signed social relationships among 3,395 students using an interpretable machine learning model -- the…

Physics and Society · Physics 2026-04-10 María Pereda

Social media mining has become one of the most popular research areas in Big Data with the explosion of social networking information from Facebook, Twitter, LinkedIn, Weibo and so on. Understanding and representing the structure of a…

Social and Information Networks · Computer Science 2017-10-04 Lintao Lv , Zengchang Qin , Tao Wan

Online social networks are a dominant medium in everyday life to stay in contact with friends and to share information. In Twitter, users can connect with other users by following them, who in turn can follow back. In recent years,…

Social and Information Networks · Computer Science 2022-05-06 Christoph Schweimer , Christine Gfrerer , Florian Lugstein , David Pape , Jan A. Velimsky , Robert Elsässer , Bernhard C. Geiger

Networks are a fundamental and flexible way of representing various complex systems. Many domains such as communication, citation, procurement, biology, social media, and transportation can be modeled as a set of entities and their…

Social and Information Networks · Computer Science 2020-08-07 Sumit Purohit , Lawrence B. Holder , George Chin

With the rapid information explosion on online social network sites (SNSs), it becomes difficult for users to seek new friends or broaden their social networks in an efficient way. Link prediction, which can effectively conquer this…

Social and Information Networks · Computer Science 2022-01-26 Huizi Wu , Shiyi Wang , Hui Fang

Recent years have seen tremendous growth of many online social networks such as Facebook, LinkedIn and MySpace. People connect to each other through these networks forming large social communities providing researchers rich datasets to…

Social and Information Networks · Computer Science 2017-02-07 Muhammad Qasim Pasta , Faraz Zaidi , Céline Rozenblat

Networks observed in real world like social networks, collaboration networks etc., exhibit temporal dynamics, i.e. nodes and edges appear and/or disappear over time. In this paper, we propose a generative, latent space based, statistical…

Social and Information Networks · Computer Science 2018-11-08 Shubham Gupta , Gaurav Sharma , Ambedkar Dukkipati

We introduce the Iterated Global model as a deterministic graph process that simulates several properties of complex networks. In this model, for every set $S$ of nodes of a prescribed cardinality, we add a new node that is adjacent to…

Discrete Mathematics · Computer Science 2020-02-21 Anthony Bonato , Erin Meger

Dynamic network data have become ubiquitous in social network analysis, with new information becoming available that captures when friendships form, when corporate transactions happen and when countries interact with each other. Flexible…

Applications · Statistics 2023-05-16 Yunran Chen , Alexander Volfovsky

Actors in realistic social networks play not one but a number of diverse roles depending on whom they interact with, and a large number of such role-specific interactions collectively determine social communities and their organizations.…

Machine Learning · Statistics 2010-10-12 Qirong Ho , Ankur P. Parikh , Le Song , Eric P. Xing
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