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 …
assume that initially each node is blue or white. In each round, all nodes simultaneously …
[HTML][HTML] Majority vote in social networks
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 …
the majority model, in each round all nodes simultaneously update their color to the most …
Adaptive greedy versus non-adaptive greedy for influence maximization
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 …
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 …
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 …
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
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 …
(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
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 …
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 …
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
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 …
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 …
computational lens. We prefer mechanisms that are simple, deterministic and incentive …