| Full text | |
| Author(s): |
Correa, Ricardo Cordeiro
;
Hoppen, Carlos
;
Sampaio, Rudini Menezes
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DISCRETE APPLIED MATHEMATICS; v. 245, p. 12-pg., 2018-08-20. |
| Abstract | |
In 2011, Janson (2011) extended the theory of graph limits to posets, defining convergence for poset sequences and proving that every such sequence has a limit object. In this paper, we focus on k-dimensional poset sequences. This restriction leads to shorter proofs and to a more intuitive limit object. As before, the limit object can be used as a model for random posets, which generalizes the well known random k-dimensional poset model. Furthermore, it can also be used to characterize a natural class of testable poset parameters. (C) 2017 Elsevier B.V. All rights reserved. (AU) | |
| FAPESP's process: | 13/03447-6 - Combinatorial structures, optimization, and algorithms in theoretical Computer Science |
| Grantee: | Carlos Eduardo Ferreira |
| Support Opportunities: | Research Projects - Thematic Grants |