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In this paper we consider a fundamental problem in the area of viral marketing, called T{\scriptsize ARGET} S{\scriptsize ET} S{\scriptsize ELECTION} problem. In a a viral marketing setting, social networks are modeled by graphs with…

Combinatorics · Mathematics 2015-03-19 Chun-Ying Chiang , Liang-Hao Huang , Wei-Ting Huang , Hong-Gwa Yeh

The target set selection problem (TSS) asks for a set of vertices such that an influence spreading process started in these vertices reaches the whole graph. The current state of the art for this NP-hard problem are three recently proposed…

Neural and Evolutionary Computing · Computer Science 2024-07-17 Benjamin Doerr , Martin S. Krejca , Nguyen Vu

Given a simple, undirected graph $G$ with a threshold function $\tau:V(G) \rightarrow \mathbb{N}$, the \textsc{Target Set Selection} (TSS) problem is about choosing a minimum cardinality set, say $S \subseteq V(G)$, such that starting a…

Computational Complexity · Computer Science 2021-05-18 Suman Banerjee , Rogers Mathew , Fahad Panolan

Given a network represented by a graph $G=(V,E)$, we consider a dynamical process of influence diffusion in $G$ that evolves as follows: Initially only the nodes of a given $S\subseteq V$ are influenced; subsequently, at each round, the set…

Data Structures and Algorithms · Computer Science 2016-10-13 Gennaro Cordasco , Luisa Gargano , Marco Mecchia , Adele A. Rescigno , Ugo Vaccaro

Given a social network with diffusion probabilities as edge weights and an integer k, which k nodes should be chosen for initial injection of information to maximize influence in the network? This problem is known as Target Set Selection in…

Social and Information Networks · Computer Science 2018-08-17 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

A target set selection model is a graph $G$ with a threshold function $\tau:V\to \mathbb{N}$ upper-bounded by the vertex degree. For a given model, a set $S_0\subseteq V(G)$ is a target set if $V(G)$ can be partitioned into non-empty…

Data Structures and Algorithms · Computer Science 2020-07-13 Lucas Keiler , Carlos Vinicius G. C. Lima , Ana Karolinna Maia , Rudini Sampaio , Ignasi Sau

Let $G$ be a graph, which represents a social network, and suppose each node $v$ has a threshold value $\tau(v)$. Consider an initial configuration, where each node is either positive or negative. In each discrete time step, a node $v$…

Data Structures and Algorithms · Computer Science 2023-07-19 Hossein Soltani , Ahad N. Zehmakan , Ataabak B. Hushmandi

In this paper we consider a fundamental problem in the area of viral marketing, called T{\scriptsize ARGET} S{\scriptsize ET} S{\scriptsize ELECTION} problem. We study the problem when the underlying graph is a block-cactus graph, a chordal…

Combinatorics · Mathematics 2011-11-30 Chun-Ying Chiang , Liang-Hao Huang , Bo-Jr Li , Jiaojiao Wu , Hong-Gwa Yeh

Motivated by applications in sociology, economy and medicine, we study variants of the Target Set Selection problem, first proposed by Kempe, Kleinberg and Tardos. In our scenario one is given a graph $G=(V,E)$, integer values $t(v)$ for…

Data Structures and Algorithms · Computer Science 2014-04-18 Ferdinando Cicalese , Gennaro Cordasco , Luisa Gargano , M. Milanic , Ugo Vaccaro

In this paper, we study the minimum dominating set (MDS) problem and the minimum total dominating set MTDS) problem which have many applications in real world. We propose a new idea to compute approximate MDS and MTDS. Next, we give an…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-16 Sharareh Alipour , Mohammadhadi Salari

We consider a dynamic model for competition in a social network, where two strategic agents have fixed beliefs and the non-strategic/regular agents adjust their states according to a distributed consensus protocol. We suppose that one…

Social and Information Networks · Computer Science 2021-05-06 M. Bini , P. Frasca , C. Ravazzi , F. Dabbene

A topic propagating in a social network reaches its tipping point if the number of users discussing it in the network exceeds a critical threshold such that a wide cascade on the topic is likely to occur. In this paper, we consider the task…

Social and Information Networks · Computer Science 2014-06-19 Peng Zhang , Wei Chen , Xiaoming Sun , Yajun Wang , Jialin Zhang

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

In a "tipping" model, each node in a social network, representing an individual, adopts a behavior if a certain number of his incoming neighbors previously held that property. A key problem for viral marketers is to determine an initial…

Social and Information Networks · Computer Science 2015-03-20 Paulo Shakarian , Damon Paulo

In this paper, we study the Target Set Selection problem from a parameterized complexity perspective. Here for a given graph and a threshold for each vertex, the task is to find a set of vertices (called a target set) which activates the…

Data Structures and Algorithms · Computer Science 2020-08-17 Pavel Dvořák , Dušan Knop , Tomáš Toufar

Despite the success of the carefully-annotated benchmarks, the effectiveness of existing graph neural networks (GNNs) can be considerably impaired in practice when the real-world graph data is noisily labeled. Previous explorations in…

Machine Learning · Computer Science 2024-08-30 Yuhao Wu , Jiangchao Yao , Xiaobo Xia , Jun Yu , Ruxin Wang , Bo Han , Tongliang Liu

In a "tipping" model, each node in a social network, representing an individual, adopts a property or behavior if a certain number of his incoming neighbors currently exhibit the same. In viral marketing, a key problem is to select an…

Social and Information Networks · Computer Science 2013-09-13 Paulo Shakarian , Sean Eyre , Damon Paulo

In a connected simple graph G = (V(G),E(G)), each vertex is assigned a color from the set of colors C={1, 2,..., c}. The set of vertices V(G) is partitioned as V_1, V_2, ... ,V_c, where all vertices in V_j share the same color j. A subset S…

Computational Geometry · Computer Science 2025-08-20 Bubai Manna

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…

Optimization and Control · Mathematics 2019-10-09 Eduardo Álvarez-Miranda , Markus Sinnl

This work is concerned with the estimation of hard-to-reach population sizes using a single respondent-driven sampling (RDS) survey, a variant of chain-referral sampling that leverages social relationships to reach members of a hidden…

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