Local-Global Convergence, an analytic and structural approach

Jaroslav Nesetril; Patrice Ossona de Mendez

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arXiv · 1805.02051

Local-Global Convergence, an analytic and structural approach

Jaroslav Nesetril·Patrice Ossona de Mendez

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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.

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Jaroslav Nesetril, Patrice Ossona de Mendez. 2018-10-16. Local-Global Convergence, an analytic and structural approach. https://arxiv.org/abs/1805.02051

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