We propose a simple model of influence in a network, based on edge density. In the model vertices (people) follow the opinion of the group they belong to. The opinion percolates down from an active vertex, the influencer, at the head of the group. Groups can merge, based on interactions between influencers (i.e., interactions along `active edges' of the network), so that the number of opinions is reduced. Eventually no active edges remain, and the groups and their opinions become static.
@article{arxiv.2305.07604,
title = {A simple model of influence},
author = {Colin Cooper and Nan Kang and Tomasz Radzik},
journal= {arXiv preprint arXiv:2305.07604},
year = {2023}
}