{"type":"ScholarlyArticle","title":"Computational Aspects of Analyzing Social Network Dynamics","authors":[{"name":"Christopher L. Barrett","slug":"christopher-l-barrett","given":"Christopher L.","family":"Barrett","affiliation":""},{"name":"Harry B. Hunt III","slug":"harry-b-hunt-iii","given":"Harry B. Hunt","family":"III","affiliation":""},{"name":"Madhav V. Marathe","slug":"madhav-v-marathe","given":"Madhav V.","family":"Marathe","affiliation":""},{"name":"S. S. Ravi","slug":"s-s-ravi","given":"S. S.","family":"Ravi","affiliation":""},{"name":"Daniel J. Rosenkrantz","slug":"daniel-j-rosenkrantz","given":"Daniel J.","family":"Rosenkrantz","affiliation":""},{"name":"Richard Edwin Stearns","slug":"richard-edwin-stearns","given":"Richard Edwin","family":"Stearns","affiliation":""},{"name":"Mayur Thakur","slug":"mayur-thakur","given":"Mayur","family":"Thakur","affiliation":""}],"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.","doi":null,"url":"https://ijcai.org/proceedings/2007/365","pdf":"https://ijcai.org/proceedings/2007/0365.pdf","markdown":"https://ijcai.org/proceedings/2007/365.md","bibtex":"https://ijcai.org/proceedings/2007/bibtex/365","volume":{"slug":"2007","title":"Proceedings of the Twentieth International Joint Conference on Artificial Intelligence","short_title":"IJCAI 2007","url":"https://ijcai.org/proceedings/2007/","year":2007,"location":"Hyderabad, India","dates":"","editors":"Ramon López de Mántaras","isbn":"","publisher":"International Joint Conferences on Artificial Intelligence","doi_prefix":""},"section":null,"track":"","number":365,"pages":{"first":2268,"last":2272},"keywords":[],"videos":[],"references":[],"license_note":"Copyright International Joint Conferences on Artificial Intelligence."}