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In this work, we study the fundamental naming and counting problems (and some variations) in networks that are anonymous, unknown, and possibly dynamic. In counting, nodes must determine the size of the network n and in naming they must end…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-08-02 Othon Michail , Ioannis Chatzigiannakis , Paul G. Spirakis

Influence maximization is the task of finding the smallest set of nodes whose activation in a social network can trigger an activation cascade that reaches the targeted network coverage, where threshold rules determine the outcome of…

Artificial Intelligence · Computer Science 2021-04-16 Manqing Ma , Gyorgy Korniss , Boleslaw K. Szymanski

To cope with the complexity of large networks, a number of dimensionality reduction techniques for graphs have been developed. However, the extent to which information is lost or preserved when these techniques are employed has not yet been…

Molecular Networks · Quantitative Biology 2015-08-28 Hector Zenil , Narsis A. Kiani , Jesper Tegnér

We propose a hybrid heuristic algorithm for solving the Heaviest k-Subgraph Problem in online social networks -- a combinatorial graph optimization problem central to many important applications in weighted social networks, including…

Social and Information Networks · Computer Science 2023-06-01 Ville P. Saarinen , Ted Hsuan Yun Chen , Mikko Kivelä

Social networks have well documented effects at the individual and aggregate level. Consequently it is often useful to understand how an attempt to influence a network will change its structure and consequently achieve other goals. We…

Social and Information Networks · Computer Science 2016-02-24 Jonathan Mellon , Jordan Yoder , Daniel Evans

We consider a variant of the clustering problem for a complete weighted graph. The aim is to partition the nodes into clusters maximizing the sum of the edge weights within the clusters. This problem is known as the clique partitioning…

Social and Information Networks · Computer Science 2023-09-15 Alexander Belyi , Stanislav Sobolevsky , Alexander Kurbatski , Carlo Ratti

Social network analysis tools can infer various attributes just by scrutinizing one's connections. Several researchers have studied the problem faced by an evader whose goal is to strategically rewire their social connections in order to…

Physics and Society · Physics 2021-07-29 Marcin Waniek , Petter Holme , Talal Rahwan

We present a novel, domain-agnostic, model-independent, unsupervised, and universally applicable Machine Learning approach for dimensionality reduction based on the principles of algorithmic complexity. Specifically, but without loss of…

Data Structures and Algorithms · Computer Science 2025-05-06 Hector Zenil , Narsis A. Kiani , Alyssa Adams , Felipe S. Abrahão , Antonio Rueda-Toicen , Allan A. Zea , Luan Ozelim , Jesper Tegnér

Organizations are collecting vast amounts of data, but they often lack the capabilities needed to fully extract insights. As a result, they increasingly share data with external experts, such as analysts or researchers, to gain value from…

Machine Learning · Computer Science 2025-05-16 Yusi Wei , Hande Y. Benson , Joseph K. Agor , Muge Capan

We investigate the trade-off between the robustness against random and targeted removal of nodes from a network. To this end we utilize the stochastic block model to study ensembles of infinitely large networks with arbitrary large-scale…

Networking and Internet Architecture · Computer Science 2019-10-03 Christopher Priester , Sebastian Schmitt , Tiago P. Peixoto

We consider optimal attacks or immunization schemes on different models of random graphs. We derive bounds for the minimum number of nodes needed to be removed from a network such that all remaining components are fragments of negligible…

Physics and Society · Physics 2019-12-10 Nicole Balashov , Reuven Cohen , Avieli Haber , Michael Krivelevich , Simi Haber

Real social network datasets provide significant benefits for understanding phenomena such as information diffusion or network evolution. Yet the privacy risks raised from sharing real graph datasets, even when stripped of user identity…

Social and Information Networks · Computer Science 2019-07-04 Sameera Horawalavithana , Adriana Iamnitchi

The problem of influence maximization, i.e., finding the set of nodes having maximal influence on a network, is of great importance for several applications. In the past two decades, many heuristic metrics to spot influencers have been…

Physics and Society · Physics 2023-06-07 Siddharth Patwardhan , Filippo Radicchi , Santo Fortunato

We consider the problem of finding an edge in a hidden undirected graph $G = (V, E)$ with $n$ vertices, in a model where we only allowed queries that ask whether or not a subset of vertices contains an edge. We study the non-adaptive model…

Data Structures and Algorithms · Computer Science 2022-07-07 Ron Kupfer , Noam Nisan

Given a network of nodes, minimizing the spread of a contagion using a limited budget is a well-studied problem with applications in network security, viral marketing, social networks, and public health. In real graphs, virus may infect a…

Discrete Mathematics · Computer Science 2017-11-03 Muhammad Ahmad , Juvaria Tariq , Mudassir Shabbir , Imdadullah Khan

Majority illusion occurs in a social network when the majority of the network nodes belong to a certain type but each node's neighbours mostly belong to a different type, therefore creating the wrong perception, i.e., the illusion, that the…

Multiagent Systems · Computer Science 2022-05-05 Umberto Grandi , Grzegorz Lisowski , M. S. Ramanujan , Paolo Turrini

We address the problem of social network de-anonymization when relationships between people are described by scale-free graphs. In particular, we propose a rigorous, asymptotic mathematical analysis of the network de-anonymization problem…

Social and Information Networks · Computer Science 2014-11-27 Carla Chiasserini , Michele Garetto , Emilio Leonardi

We study the classical problem of community recovery in stochastic block models with a fixed number of communities, with a twist: We seek algorithms that are stable with respect to node-wise changes in the graph structure, formally defined…

Statistics Theory · Mathematics 2026-05-18 Laurentiu Marchis , Ethan D'souza , Tomáš Flídr , Po-Ling Loh

We give the first polynomial-time, differentially node-private, and robust algorithm for estimating the edge density of Erd\H{o}s-R\'enyi random graphs and their generalization, inhomogeneous random graphs. We further prove…

Data Structures and Algorithms · Computer Science 2024-06-05 Hongjie Chen , Jingqiu Ding , Yiding Hua , David Steurer

In social networks, people influence each other through social links, which can be represented as propagation among nodes in graphs. Influence minimization (IMIN) is the problem of manipulating the structures of an input graph (e.g.,…

Machine Learning · Computer Science 2025-02-04 Junghun Lee , Hyunju Kim , Fanchen Bu , Jihoon Ko , Kijung Shin
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