---
title: "Computational Aspects of Analyzing Social Network Dynamics"
authors:
  - "Christopher L. Barrett"
  - "Harry B. Hunt III"
  - "Madhav V. Marathe"
  - "S. S. Ravi"
  - "Daniel J. Rosenkrantz"
  - "Richard Edwin Stearns"
  - "Mayur Thakur"
doi: ""
url: "https://ijcai.org/proceedings/2007/365"
pdf: "https://ijcai.org/proceedings/2007/0365.pdf"
venue: "Proceedings of the Twentieth International Joint Conference on Artificial Intelligence"
year: 2007
pages: "2268-2272"
track: ""
keywords:
---

# Computational Aspects of Analyzing Social Network Dynamics

Christopher L. Barrett, Harry B. Hunt III, Madhav V. Marathe, S. S. Ravi, Daniel J. Rosenkrantz, Richard Edwin Stearns, Mayur Thakur

*Proceedings of the Twentieth International Joint Conference on Artificial Intelligence*, pages 2268-2272.

## Abstract

Motivated by applications such as the spread of epidemics and the propagation of influence in social networks, we propose a formal model for analyzing the dynamics of such networks. Our model is a stochastic version of discrete dynamical systems. Using this model, we formulate and study the computational complexity of two fundamental problems (called reachability and predecessor existence problems) which arise in the context of social networks. We also point out the implications of our results on other computational models such as Hopfield networks, communicating finite state machines and systolic arrays.