Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4653334 | European Journal of Combinatorics | 2016 | 21 Pages |
Abstract
In this paper we present a novel approach to graph (and structural) limits based on model theory and analysis. The role of Stone and Gelfand dualities is displayed prominently and leads to a general theory, which we believe is naturally emerging. This approach covers all the particular examples of structural convergence and it put the whole in new context. As an application, it leads to new intermediate examples of structural convergence and to a “grand conjecture” dealing with sparse graphs. We survey the recent developments.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Jaroslav Nešetřil, Patrice Ossona de Mendez,