Local-Global Convergence, an analytic and structural approach
Combinatorics
2018-10-18 v2
Abstract
Based on methods of structural convergence we provide a unifying view of local-global convergence, fitting to model theory and analysis. The general approach outlined here provides a possibility to extend the theory of local-global convergence to graphs with unbounded degrees. As an application, we extend previous results on continuous clustering of local convergent sequences and prove the existence of modeling quasi-limits for local-global convergent sequences of nowhere dense graphs.
Cite
@article{arxiv.1805.02051,
title = {Local-Global Convergence, an analytic and structural approach},
author = {Jaroslav Nesetril and Patrice Ossona de Mendez},
journal= {arXiv preprint arXiv:1805.02051},
year = {2018}
}
Comments
to appear in Commentationes Mathematicae Universitatis Carolinae