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Analyzing massive data sets has been one of the key motivations for studying streaming algorithms. In recent years, there has been significant progress in analysing distributions in a streaming setting, but the progress on graph problems…

Data Structures and Algorithms · Computer Science 2009-05-05 Kook Jin Ahn , Sudipto Guha

We analyze a game-theoretic abstraction of epidemic containment played on an undirected graph $G$: each player is associated with a node in $G$ and can either acquire protection from a contagious process or risk infection. After decisions…

Computer Science and Game Theory · Computer Science 2023-04-25 Mason DiCicco , Henry Poskanzer , Daniel Reichman

A Reed-Frost epidemic with inhomogeneous infection probabilities on a graph with prescribed degree distribution is studied. Each edge $(u,v)$ in the graph is equipped with two weights $W_{(u,v)}$ and $W_{(v,u)}$ that represent the…

Probability · Mathematics 2015-03-17 Maria Deijfen

How to allocate vaccines over heterogeneous individuals is one of the important policy decisions in pandemic times. This paper develops a procedure to estimate an individualized vaccine allocation policy under limited supply, exploiting…

Econometrics · Economics 2021-10-25 Toru Kitagawa , Guanyi Wang

Influence maximization, defined as a problem of finding a set of seed nodes to trigger a maximized spread of influence, is crucial to viral marketing on social networks. For practical viral marketing on large scale social networks, it is…

Social and Information Networks · Computer Science 2014-02-18 Suqi Cheng , Huawei Shen , Junming Huang , Guoqing Zhang , Xueqi Cheng

The design of an efficient curing policy, able to stem an epidemic process at an affordable cost, has to account for the structure of the population contact network supporting the contagious process. Thus, we tackle the problem of…

Optimization and Control · Mathematics 2017-12-04 Stefania Ottaviano , Francesco De Pellegrini , Stefano Bonaccorsi , Piet Van Mieghem

We consider the problem of controlling the spread of harmful items in networks, such as the contagion proliferation of diseases or the diffusion of fake news. We assume the linear threshold model of diffusion where each node has a threshold…

Computational Complexity · Computer Science 2021-02-09 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Recently, hypergraphs have attracted considerable interest from the research community as a generalization of networks capable of encoding higher-order interactions, which commonly appear in both natural and social systems. Epidemic…

Physics and Society · Physics 2022-01-03 Bukyoung Jhun

We consider the revenue maximization problem in social advertising, where a social network platform owner needs to select seed users for a group of advertisers, each with a payment budget, such that the total expected revenue that the owner…

Data Structures and Algorithms · Computer Science 2021-07-27 Kai Han , Benwei Wu , Jing Tang , Shuang Cui , Cigdem Aslay , Laks V. S. Lakshmanan

We present an effective immunization strategy for computer networks and populations with broad and, in particular, scale-free degree distributions. The proposed strategy, acquaintance immunization, calls for the immunization of random…

Disordered Systems and Neural Networks · Physics 2007-05-23 Reuven Cohen , Shlomo Havlin , Daniel ben-Avraham

This paper develops and analyzes optimization models for rapid detection of viruses in large contact networks. In the model, a virus spreads in a stochastic manner over an undirected connected graph, under various assumptions on the spread…

Optimization and Control · Mathematics 2021-06-16 Sudesh K. Agrawal , John J. Hasenbein

In this paper, we investigate two major immunization strategies, random immunization and targeted immunization, of the susceptible-infected (SI) Model on the Barab\'{a}si-Albert (BA) networks. For the heterogenous structure, the random…

Biological Physics · Physics 2011-11-09 Wen-Jie Bai , Tao Zhou , Bing-Hong Wang

A typical viral marketing model identifies influential users in a social network to maximize a single product adoption assuming unlimited user attention, campaign budgets, and time. In reality, multiple products need campaigns, users have…

Social and Information Networks · Computer Science 2017-01-31 Nan Du , Yingyu Liang , Maria-Florina Balcan , Manuel Gomez-Rodriguez , Hongyuan Zha , Le Song

Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

Social and Information Networks · Computer Science 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

The online dominating set problem is an online variant of the minimum dominating set problem, which is one of the most important NP-hard problems on graphs. This problem is defined as follows: Given an undirected graph $G = (V, E)$, in…

Data Structures and Algorithms · Computer Science 2017-11-01 Koji M. Kobayashi

Influence maximization is the problem of selecting top $k$ seed nodes in a social network to maximize their influence coverage under certain influence diffusion models. In this paper, we propose a novel algorithm IRIE that integrates a new…

Social and Information Networks · Computer Science 2012-03-20 Kyomin Jung , Wooram Heo , Wei Chen

If a piece of information is released from a media site, can it spread, in 1 month, to a million web pages? This influence estimation problem is very challenging since both the time-sensitive nature of the problem and the issue of…

Social and Information Networks · Computer Science 2013-11-18 Nan Du , Le Song , Manuel Gomez Rodriguez , Hongyuan Zha

Motivated by real-world applications such as the allocation of public housing, we examine the problem of assigning a group of agents to vertices (e.g., spatial locations) of a network so that the diversity level is maximized. Specifically,…

Data Structures and Algorithms · Computer Science 2024-04-02 Zirou Qiu , Andrew Yuan , Chen Chen , Madhav V. Marathe , S. S. Ravi , Daniel J. Rosenkrantz , Richard E. Stearns , Anil Vullikanti

Influence maximization is the problem of finding the set of nodes of a network that maximizes the size of the outbreak of a spreading process occurring on the network. Solutions to this problem are important for strategic decisions in…

Physics and Society · Physics 2019-10-23 Sirag Erkol , Claudio Castellano , Filippo Radicchi

Motivated by applications in computational advertising and systems biology, we consider the problem of identifying the best out of several possible soft interventions at a source node $V$ in an acyclic causal directed graph, to maximize the…

Machine Learning · Statistics 2017-03-13 Rajat Sen , Karthikeyan Shanmugam , Alexandros G. Dimakis , Sanjay Shakkottai
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