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We study the problem of maximizing the number of spanning trees in a connected graph by adding at most $k$ edges from a given candidate edge set. We give both algorithmic and hardness results for this problem: - We give a greedy algorithm…

Data Structures and Algorithms · Computer Science 2018-07-17 Huan Li , Stacy Patterson , Yuhao Yi , Zhongzhi Zhang

We consider the problem of selecting a seed set to maximize the expected number of influenced nodes in the social network, referred to as the \textit{influence maximization} (IM) problem. We assume that the topology of the social network is…

Machine Learning · Computer Science 2019-11-26 Xiaojin Zhang

We consider the problem of maximizing the spread of influence in a social network by choosing a fixed number of initial seeds, formally referred to as the influence maximization problem. It admits a $(1-1/e)$-factor approximation algorithm…

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

Given a budget and arbitrary cost for selecting each node, the budgeted influence maximization (BIM) problem concerns selecting a set of seed nodes to disseminate some information that maximizes the total number of nodes influenced (termed…

Social and Information Networks · Computer Science 2013-01-23 Huy Nguyen , Rong Zheng

Influence maximization--the problem of identifying a subset of k influential seeds (vertices) in a network--is a classical problem in network science with numerous applications. The problem is NP-hard, but there exist efficient polynomial…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-21 Reet Barik , Wade Cappa , S M Ferdous , Marco Minutoli , Mahantesh Halappanavar , Ananth Kalyanaraman

Influence maximization (IM) aims at maximizing the spread of influence by offering discounts to influential users (called seeding). In many applications, due to user's privacy concern, overwhelming network scale etc., it is hard to target…

Social and Information Networks · Computer Science 2020-10-06 Chen Feng , Luoyi Fu , Bo Jiang , Haisong Zhang , Xinbing Wang , Feilong Tang , Guihai Chen

We propose distributed algorithms for two well-established problems that operate efficiently under extremely harsh conditions. Our algorithms achieve state-of-the-art performance in a simple and novel way. Our algorithm for maximal…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-19 Peter Jeavons , Alex Scott , Lei Xu

Influence maximization is the task of selecting a small number of seed nodes in a social network to maximize the influence spread from these seeds. It has been widely investigated in the past two decades. In the canonical setting, the…

Social and Information Networks · Computer Science 2022-02-21 Zhijie Zhang , Wei Chen , Xiaoming Sun , Jialin Zhang

While influence maximization in social networks has been studied extensively in computer science community for the last decade the focus has been on the progressive influence models, such as independent cascade (IC) and Linear threshold…

Social and Information Networks · Computer Science 2018-06-19 Golshan Golnari , Amir Asiaee , Arindam Banerjee , Zhi-Li Zhang

Most studies on influence maximization focus on one-shot propagation, i.e. the influence is propagated from seed users only once following a probabilistic diffusion model and users' activation are determined via single cascade. In reality…

Social and Information Networks · Computer Science 2017-02-21 Xiaohan Shan , Wei Chen , Qiang Li , Xiaoming Sun , Jialin Zhang

In this paper, we study the problem of robust influence maximization in the independent cascade model under a hyperparametric assumption. In social networks users influence and are influenced by individuals with similar characteristics and…

Machine Learning · Computer Science 2019-05-14 Dimitris Kalimeris , Gal Kaplun , Yaron Singer

In this paper, we consider the problem of maximizing the spread of influence through a social network. Given a graph with a threshold value~$thr(v)$ attached to each vertex~$v$, the spread of influence is modeled as follows: A vertex~$v$…

Data Structures and Algorithms · Computer Science 2014-08-19 Cristina Bazgan , Morgan Chopin , André Nichterlein , Florian Sikora

Influence maximization is a problem of finding a small set of highly influential users, also known as seeds, in a social network such that the spread of influence under certain propagation models is maximized. In this paper, we consider…

Social and Information Networks · Computer Science 2015-07-14 Wei Chen , Wei Lu , Ning Zhang

Given a directed graph (representing a social network), the influence maximization problem is to find k nodes which, when influenced (or activated), would maximize the number of remaining nodes that get activated. In this paper, we consider…

Social and Information Networks · Computer Science 2020-12-01 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

The Adaptive Seeding problem is an algorithmic challenge motivated by influence maximization in social networks: One seeks to select among certain accessible nodes in a network, and then select, adaptively, among neighbors of those nodes as…

Social and Information Networks · Computer Science 2015-07-10 Ashwinkumar Badanidiyuru , Christos Papadimitriou , Aviad Rubinstein , Lior Seeman , Yaron Singer

In this article we prove that the minimum-degree greedy algorithm, with adversarial tie-breaking, is a $(2/3)$-approximation for the Maximum Independent Set problem on interval graphs. We show that this is tight, even on unit interval…

Data Structures and Algorithms · Computer Science 2024-03-19 Steven Chaplick , Martin Frohn , Steven Kelk , Johann Lottermoser , Matus Mihalak

We consider stochastic influence maximization problems arising in social networks. In contrast to existing studies that involve greedy approximation algorithms with a 63% performance guarantee, our work focuses on solving the problem…

Social and Information Networks · Computer Science 2020-06-02 Hao-Hsiang Wu , Simge Kucukyavuz

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

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

Consider a kidney-exchange application where we want to find a max-matching in a random graph. To find whether an edge $e$ exists, we need to perform an expensive test, in which case the edge $e$ appears independently with a \emph{known}…

Data Structures and Algorithms · Computer Science 2019-02-07 Domagoj Bradac , Sahil Singla , Goran Zuzic