Attribute network models, stochastic approximation, and network sampling and ranking algorithms

N Antunes, S Banerjee, S Bhamidi, V Pipiras - arXiv preprint arXiv …, 2023 - arxiv.org
We analyze dynamic random network models where younger vertices connect to older ones
with probabilities proportional to their degrees as well as a propensity kernel governed by …

Random networks grown by fusing edges via urns

KR Bhutani, R Kalpathy, H Mahmoud - Network Science, 2022 - cambridge.org
Many classic networks grow by hooking small components via vertices. We introduce a class
of networks that grows by fusing the edges of a small graph to an edge chosen uniformly at …

Inference in balanced community modulated recursive trees

A Ben-Hamou, V Velona - arXiv preprint arXiv:2305.15206, 2023 - arxiv.org
We introduce a random recursive tree model with two communities, called balanced
community modulated random recursive tree, or BCMRT in short. In this setting, pairs of …