Random majority opinion diffusion: Stabilization Time, absorbing states, and influential nodes

AN Zehmakan - arxiv preprint arxiv:2302.06760, 2023 - arxiv.org
Consider a graph G with n nodes and m edges, which represents a social network, and
assume that initially each node is blue or white. In each round, all nodes simultaneously …

[HTML][HTML] Majority vote in social networks

C Out, AN Zehmakan - Information Sciences, 2024 - Elsevier
Consider a graph G and suppose that initially each node is colored either black or white. In
the majority model, in each round all nodes simultaneously update their color to the most …

Adaptive greedy versus non-adaptive greedy for influence maximization

W Chen, B Peng, G Schoenebeck, B Tao - Journal of Artificial Intelligence …, 2022 - jair.org
We consider the adaptive influence maximization problem: given a network and a budget k,
iteratively select k seeds in the network to maximize the expected number of adopters. In the …

Graph-based generalization of Galam model: Convergence time and influential nodes

S Li, AN Zehmakan - Physics, 2023 - mdpi.com
We study a graph-based generalization of the Galam opinion formation model. Consider a
simple connected graph which represents a social network. Each node in the graph is …

Majority opinion diffusion: when tie-breaking rule matters

AN Zehmakan - Autonomous Agents and Multi-Agent Systems, 2024 - Springer
Consider a graph G, which represents a social network, and assume that initially each node
is either blue or white (corresponding to its opinion on a certain topic). In each round, all …

Viral Marketing in Social Networks with Competing Products

AN Zehmakan, X Zhou, Z Zhang - arxiv preprint arxiv:2312.15819, 2023 - arxiv.org
Consider a directed network where each node is either red (using the red product), blue
(using the blue product), or uncolored (undecided). Then in each round, an uncolored node …

A Thorough Comparison Between Independent Cascade and Susceptible-Infected-Recovered Models

P Liu, G Qiu, B Tao, K Yang - arxiv preprint arxiv:2408.11470, 2024 - arxiv.org
We study cascades in social networks with the independent cascade (IC) model and the
Susceptible-Infected-recovered (SIR) model. The well-studied IC model fails to capture the …

Budget-smoothed analysis for submodular maximization

A Rubinstein, J Zhao - arxiv preprint arxiv:2102.05782, 2021 - arxiv.org
The greedy algorithm for monotone submodular function maximization subject to cardinality
constraint is guaranteed to approximate the optimal solution to within a $1-1/e $ factor …

Adaptivity Gap for Influence Maximization with Linear Threshold Model on Trees

Y Tao, S Wang, K Yang - International Workshop on Frontiers in …, 2023 - Springer
We address the problem of influence maximization within the framework of the linear
threshold model, focusing on its comparison to the independent cascade model. Previous …

New Separations and Beyond-Worst-Case Analysis in Algorithmic Game Theory and Submodular Optimization

J Zhao - 2024 - search.proquest.com
In algorithmic game theory, we analyze games and design mechanisms through
computational lens. We prefer mechanisms that are simple, deterministic and incentive …