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In this study, we investigate the problem of classifying, characterizing, and designing efficient algorithms for hard inference problems on planar graphs, in the limit of infinite size. The problem is considered hard if, for a deterministic…

Statistics Theory · Mathematics 2016-01-01 Iuliana Teodorescu , Razvan Teodorescu , Pranav Warman

In this paper, we consider the Target Set Selection problem: given a graph and a threshold value $thr(v)$ for any vertex $v$ of the graph, find a minimum size vertex-subset to "activate" s.t. all the vertices of the graph are activated at…

Computational Complexity · Computer Science 2015-06-11 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

We consider the canonical problem of influence maximization in social networks. Since the seminal work of Kempe, Kleinberg, and Tardos, there have been two largely disjoint efforts on this problem. The first studies the problem associated…

Social and Information Networks · Computer Science 2018-01-24 Eric Balkanski , Nicole Immorlica , Yaron Singer

An important objective for analyzing real-world graphs is to achieve scalable performance on large, streaming graphs. A challenging and relevant example is the graph partition problem. As a combinatorial problem, graph partition is NP-hard,…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-10 Edward Kao , Vijay Gadepally , Michael Hurley , Michael Jones , Jeremy Kepner , Sanjeev Mohindra , Paul Monticciolo , Albert Reuther , Siddharth Samsi , William Song , Diane Staheli , Steven Smith

Inference and optimization of real-value edge variables in sparse graphs are studied using the Bethe approximation and replica method of statistical physics. Equilibrium states of general energy functions involving a large set of real…

Disordered Systems and Neural Networks · Physics 2009-11-11 K. Y. Michael Wong , D. Saad

We consider the fractional influence maximization problem, i.e., identifying users on a social network to be incentivized with potentially partial discounts to maximize the influence on the network. The larger the discount given to a user,…

Social and Information Networks · Computer Science 2024-07-09 Akhil Bhimaraju , Eliot W. Robson , Lav R. Varshney , Abhishek K. Umrawal

A serious challenge when finding influential actors in real-world social networks is the lack of knowledge about the structure of the underlying network. Current state-of-the-art methods rely on hand-crafted sampling algorithms; these…

Social and Information Networks · Computer Science 2020-02-21 Harshavardhan Kamarthi , Priyesh Vijayan , Bryan Wilder , Balaraman Ravindran , Milind Tambe

Network sparsification aims to reduce the number of edges of a network while maintaining its structural properties; such properties include shortest paths, cuts, spectral measures, or network modularity. Sparsification has multiple…

Social and Information Networks · Computer Science 2017-01-26 Aristides Gionis , Polina Rozenshtein , Nikolaj Tatti , Evimaria Terzi

Partitioning a graph into groups of vertices such that those within each group are more densely connected than vertices assigned to different groups, known as graph clustering, is often used to gain insight into the organisation of large…

Machine Learning · Statistics 2014-01-28 Charanpal Dhanjal , Romaric Gaudel , Stéphan Clémençon

Incentivized social advertising, an emerging marketing model, provides monetization opportunities not only to the owners of the social networking platforms but also to their influential users by offering a "cut" on the advertising revenue.…

Social and Information Networks · Computer Science 2021-06-23 Cigdem Aslay , Francesco Bonchi , Laks V. S. Lakshmanan , Wei Lu

Recent studies have shown that graph convolution networks (GCNs) are vulnerable to carefully designed attacks, which aim to cause misclassification of a specific node on the graph with unnoticeable perturbations. However, a vast majority of…

Cryptography and Security · Computer Science 2020-04-30 Jihong Wang , Minnan Luo , Fnu Suya , Jundong Li , Zijiang Yang , Qinghua Zheng

We study partial and budgeted versions of the well studied connected dominating set problem. In the partial connected dominating set problem, we are given an undirected graph G = (V,E) and an integer n', and the goal is to find a minimum…

Data Structures and Algorithms · Computer Science 2013-11-12 Samir Khuller , Manish Purohit , Kanthi Sarpatwar

In network epidemic models, controlling the spread of a disease often requires targeted interventions such as vaccinating high-risk individuals based on network structure. However, typical approaches assume complete knowledge of the…

Statistics Theory · Mathematics 2026-02-16 Anirudh Sridhar , Arnob Ghosh

In this work we analyze the evolution of voluntary vaccination in networked populations by entangling the spreading dynamics of an influenza-like disease with an evolutionary framework taking place at the end of each influenza season so…

Physics and Society · Physics 2013-09-11 Alessio Cardillo , Catalina Reyes-Suárez , Fernando Naranjo , Jesús Gómez-Gardeñes

There has been a recent explosion in the size of stored data, partially due to advances in storage technology, and partially due to the growing popularity of cloud-computing and the vast quantities of data generated. This motivates the need…

Data Structures and Algorithms · Computer Science 2012-12-06 Isabelle Stanton

Visual rendering of graphs is a key task in the mapping of complex network data. Although most graph drawing algorithms emphasize aesthetic appeal, certain applications such as travel-time maps place more importance on visualization of…

Machine Learning · Statistics 2014-01-20 Brian Baingana , Georgios B. Giannakis

We study the problem of extracting a selective connector for a given set of query vertices $Q \subseteq V$ in a graph $G = (V,E)$. A selective connector is a subgraph of $G$ which exhibits some cohesiveness property, and contains the query…

Social and Information Networks · Computer Science 2017-09-06 Natali Ruchansky , Francesco Bonchi , David Garcia-Soriano , Francesco Gullo , Nicolas Kourtellis

We analyze an epidemic model on a network consisting of susceptible-infected-recovered equations at the nodes coupled by diffusion using a graph Laplacian. We introduce an epidemic criterion and examine different vaccination/containment…

Physics and Society · Physics 2020-09-25 F. Bustamante-Castaneda , J. -G. Caputo , G. Cruz-Pacheco , A. Knippel , F. Mouatamide

Given a social network G and a constant k, the influence maximization problem asks for k nodes in G that (directly and indirectly) influence the largest number of nodes under a pre-defined diffusion model. This problem finds important…

Social and Information Networks · Computer Science 2014-05-02 Youze Tang , Xiaokui Xiao , Yanchen Shi

Are users of an online social network interested equally in all connections in the network? If not, how can we obtain a summary of the network personalized to specific users? Can we use the summary for approximate query answering? As…

Databases · Computer Science 2022-03-29 Shinhwan Kang , Kyuhan Lee , Kijung Shin