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In $\textit{total domination}$, given a graph $G=(V,E)$, we seek a minimum-size set of nodes $S\subseteq V$, such that every node in $V$ has at least one neighbor in $S$. We define a $\textit{fault-tolerant}$ version of total domination,…

数据结构与算法 · 计算机科学 2026-03-11 Ioannis Lamprou , Ioannis Sigalas , Ioannis Vaxevanakis , Vassilis Zissimopoulos

The dominating set problem has many practical applications but is well-known to be NP-hard. Therefore, there is a need for efficient approximation algorithms, especially in applications such as ad hoc wireless networks. Most distributed…

物理与社会 · 物理学 2023-05-16 Hunter Rehm , Robert Kassouf-Short , Puck Rombach

The analysis of networks characterized by links with heterogeneous intensity or weight suffers from two long-standing problems of arbitrariness. On one hand, the definitions of topological properties introduced for binary graphs can be…

数据分析、统计与概率 · 物理学 2014-04-28 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

The minimum dominating set problem has wide applications in network science and related fields. It consists of assembling a node set of global minimum size such that any node of the network is either in this set or is adjacent to at least…

物理与社会 · 物理学 2015-05-14 Jin-Hua Zhao , Yusupjan Habibulla , Hai-Jun Zhou

Dominating set problems are among the most important class of combinatorial problems in graph optimization, from a theoretical as well as from a practical point of view. In this paper, we address the recently introduced (minimum) weighted…

最优化与控制 · 数学 2019-10-09 Eduardo Álvarez-Miranda , Markus Sinnl

We study the task of selecting $k$ nodes, in a social network of size $n$, to seed a diffusion with maximum expected spread size, under the independent cascade model with cascade probability $p$. Most of the previous work on this problem…

社会与信息网络 · 计算机科学 2022-05-24 Dean Eckles , Hossein Esfandiari , Elchanan Mossel , M. Amin Rahimian

In this paper, we tackle a challenging problem inherent in a series of applications: tracking the influential nodes in dynamic networks. Specifically, we model a dynamic network as a stream of edge weight updates. This general model…

社会与信息网络 · 计算机科学 2017-08-25 Yu Yang , Zhefeng Wang , Jian Pei , Enhong Chen

This paper studies a Group Influence with Minimum cost which aims to find a seed set with smallest cost that can influence all target groups, where each user is associated with a cost and a group is influenced if the total score of the…

计算机科学与博弈论 · 计算机科学 2022-12-16 Phuong N. H. Pham , Canh V. Pham , Hieu V. Duong , Thanh T. Nguyen , My T. Thai

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…

社会与信息网络 · 计算机科学 2013-11-18 Nan Du , Le Song , Manuel Gomez Rodriguez , Hongyuan Zha

The problem of finding the optimal set of source nodes in a diffusion network that maximizes the spread of information, influence, and diseases in a limited amount of time depends dramatically on the underlying temporal dynamics of the…

社会与信息网络 · 计算机科学 2012-05-09 Manuel Gomez Rodriguez , Bernhard Schölkopf

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

社会与信息网络 · 计算机科学 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

This survey presents the main results achieved for the influence maximization problem in social networks. This problem is well studied in the literature and, thanks to its recent applications, some of which currently deployed on the field,…

社会与信息网络 · 计算机科学 2018-06-21 Giuseppe De Nittis , Nicola Gatti

Given a social network with nonuniform selection cost of the users, the problem of \textit{Budgeted Influence Maximization} (BIM in short) asks for selecting a subset of the nodes within an allocated budget for initial activation, such that…

社会与信息网络 · 计算机科学 2020-04-09 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

The identification of the minimal set of nodes that maximizes the propagation of information is one of the most relevant problems in network science. In this paper, we introduce a new method to find the set of initial spreaders to maximize…

A minimum dominating set in a graph is a minimum set of vertices such that every vertex of the graph either belongs to it, or is adjacent to one vertex of this set. This mathematical object is of high relevance in a number of applications…

人工智能 · 计算机科学 2018-08-30 Mayra Albuquerque , Thibaut Vidal

Influence propagation has been the subject of extensive study due to its important role in social networks, epidemiology, and many other areas. Understanding propagation mechanisms is critical to control the spread of fake news or…

最优化与控制 · 数学 2022-09-28 Vinicius Ferreira , Artur Pessoa , Thibaut Vidal

Influence maximization is the problem of finding a set of influential users in a social network such that the expected spread of influence under a certain propagation model is maximized. Much of the previous work has neglected the important…

社会与信息网络 · 计算机科学 2016-11-18 Wei Lu , Laks V. S. Lakshmanan

The whole frame of interconnections in complex networks hinges on a specific set of structural nodes, much smaller than the total size, which, if activated, would cause the spread of information to the whole network [1]; or, if immunized,…

物理与社会 · 物理学 2015-08-27 Flaviano Morone , Hernan A. Makse

We identify influential early adopters in a social network, where individuals are resource constrained, to maximize the spread of multiple, costly behaviors. A solution to this problem is especially important for viral marketing. The…

社会与信息网络 · 计算机科学 2017-02-08 Kaushik Sarkar , Hari Sundaram

One key problem in network analysis is the so-called influence maximization problem, which consists in finding a set $S$ of at most $k$ seed users, in a social network, maximizing the spread of information from $S$. This paper studies a…

计算机科学与博弈论 · 计算机科学 2020-03-19 Ruben Becker , Gianlorenzo D'Angelo , Hugo Gilbert