Large Deviation Principles for Block and Step Graphon Random Graph Models
Probability
2023-11-27 v3 Combinatorics
Abstract
Borgs, Chayes, Gaudio, Petti and Sen [arXiv:2007.14508] proved a large deviation principle for block model random graphs with rational block ratios. We strengthen their result by allowing any block ratios (and also establish a simpler formula for the rate function). We apply the new result to derive a large deviation principle for graph sampling from any given step graphon.
Keywords
Cite
@article{arxiv.2101.07025,
title = {Large Deviation Principles for Block and Step Graphon Random Graph Models},
author = {Jan Grebík and Oleg Pikhurko},
journal= {arXiv preprint arXiv:2101.07025},
year = {2023}
}
Comments
18 pages; this preprint is fully superseded by arXiv:2311.06531, as its all main results are included (with the same proofs) into the latter