Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5776891 | Discrete Mathematics | 2017 | 15 Pages |
Abstract
The notion of left convergent sequences of graphs introduced by Lovász et al. (in relation with homomorphism densities for fixed patterns and Szemerédi's regularity lemma) got increasingly studied over the past 10 years. Recently, NeÅ¡etÅil and Ossona de Mendez introduced a general framework for convergence of sequences of structures. In particular, the authors introduced the notion of QF-convergence, which is a natural generalization of left-convergence. In this paper, we initiate study of QF-convergence for structures with functional symbols by focusing on the particular case of tree semi-lattices. We fully characterize the limit objects and give an application to the study of left convergence of m-partite cographs, a generalization of cographs.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
P. Charbit, L. Hosseini, P. Ossona de Mendez,