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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

In social and biological systems, the structural heterogeneity of interaction networks gives rise to the emergence of a small set of influential nodes, or influencers, in a series of dynamical processes. Although much smaller than the…

Physics and Society · Physics 2018-05-04 Sen Pei , Flaviano Morone , Hernán A. Makse

Community detection is the task of identifying clusters or groups of nodes in a network where nodes within the same group are more connected with each other than with nodes in different groups. It has practical uses in identifying similar…

Physics and Society · Physics 2018-01-08 Mursel Tasgin , Haluk O. Bingol

This paper considers optimization problems over networks where agents have individual objectives to meet, or individual parameter vectors to estimate, subject to subspace constraints that require the objectives across the network to lie in…

Multiagent Systems · Computer Science 2020-04-22 Roula Nassif , Stefan Vlaski , Ali H. Sayed

Maximizing influences in complex networks is a practically important but computationally challenging task for social network analysis, due to its NP- hard nature. Most current approximation or heuristic methods either require tremendous…

Social and Information Networks · Computer Science 2023-09-15 Changan Liu , Changjun Fan , Zhongzhi Zhang

Community discovery in complex networks is an interesting problem with a number of applications, especially in the knowledge extraction task in social and information networks. However, many large networks often lack a particular community…

Data Structures and Algorithms · Computer Science 2012-06-05 Michele Coscia , Giulio Rossetti , Fosca Giannotti , Dino Pedreschi

Community detection is an important research topic in complex networks. We present the employment of a genetic algorithm to detect communities in complex networks which is based on optimizing network modularity. It does not need any prior…

Physics and Society · Physics 2007-11-06 Mursel Tasgin , Amac Herdagdelen , Haluk Bingol

Online social networks have become an important platform for people to communicate, share knowledge and disseminate information. Given the widespread usage of social media, individuals' ideas, preferences and behavior are often influenced…

Social and Information Networks · Computer Science 2023-09-12 Hui Li , Susu Yang , Mengting Xu , Sourav S Bhowmick , Jiangtao Cui

Influence maximization (IM) is the task of finding the most important nodes in order to maximize the spread of influence or information on a network. This task is typically studied on static or temporal networks where the complete topology…

Social and Information Networks · Computer Science 2023-09-13 Eric Yanchenko , Tsuyoshi Murata , Petter Holme

Most of the real world networks such as the internet network, collaboration networks, brain networks, citation networks, powerline and airline networks are very large and to study their structure, and dynamics one often requires working…

Physics and Society · Physics 2020-05-05 Richa Tripathi , Amit Reza

We study the problem of testing for community structure in networks using relations between the observed frequencies of small subgraphs. We propose a simple test for the existence of communities based only on the frequencies of three-node…

Methodology · Statistics 2017-10-17 Chao Gao , John Lafferty

Networked systems are systems of interconnected components, in which the dynamics of each component are influenced by the behavior of neighboring components. Examples of networked systems include biological networks, critical…

Systems and Control · Computer Science 2016-06-01 Andrew Clark , Basel Alomair , Linda Bushnell , Radha Poovendran

Alice wants to join a new social network, and influence its members to adopt a new product or idea. Each person $v$ in the network has a certain threshold $t(v)$ for {\em activation}, i.e adoption of the product or idea. If $v$ has at least…

Data Structures and Algorithms · Computer Science 2016-11-30 Gennaro Cordasco , Luisa Gargano , Manuel Lafond , Lata Narayanan , Adele A. Rescigno , Ugo Vaccaro , Kangkang Wu

This paper describes a new algorithm to solve the decision making problem in Influence Diagrams based on algorithms for credal networks. Decision nodes are associated to imprecise probability distributions and a reformulation is introduced…

Artificial Intelligence · Computer Science 2012-06-18 Cassio Polpo de Campos , Qiang Ji

Neural networks have been achieving high generalization performance on many tasks despite being highly over-parameterized. Since classical statistical learning theory struggles to explain this behavior, much effort has recently been focused…

Machine Learning · Statistics 2021-06-16 Skander Karkar , Ibrahim Ayed , Emmanuel de Bézenac , Patrick Gallinari

How can a system designer exploit system-level knowledge to derive incentives to optimally influence social behavior? The literature on network routing contains many results studying the application of monetary tolls to influence behavior…

Computer Science and Game Theory · Computer Science 2019-07-25 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

We consider the problem of inferring the opinions of a social network through strategically sampling a minimum subset of nodes by exploiting correlations in node opinions. We first introduce the concept of information dominating set (IDS).…

Social and Information Networks · Computer Science 2014-05-23 Jianhang Gao , Qing Zhao , Anathram Swami

Real-data networks often appear to have strong modularity, or network-of-networks structure, in which subgraphs of various size and consistency occur. Finding the respective subgraph structure is of great importance, in particular for…

Physics and Society · Physics 2008-09-29 Mitrovic Marija , Bosiljka Tadic

We study the $r$-complex contagion influence maximization problem. In the influence maximization problem, one chooses a fixed number of initial seeds in a social network to maximize the spread of their influence. In the $r$-complex…

Social and Information Networks · Computer Science 2022-06-15 Grant Schoenebeck , Biaoshuai Tao , Fang-Yi Yu

We investigate the impact of community structure on information diffusion with the linear threshold model. Our results demonstrate that modular structure may have counter-intuitive effects on information diffusion when social reinforcement…

Physics and Society · Physics 2014-09-19 Azadeh Nematzadeh , Emilio Ferrara , Alessandro Flammini , Yong-Yeol Ahn