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Limits of k-dimensional poset sequences

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Autor(es):
Correa, Ricardo Cordeiro ; Hoppen, Carlos ; Sampaio, Rudini Menezes
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: DISCRETE APPLIED MATHEMATICS; v. 245, p. 12-pg., 2018-08-20.
Resumo

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)

Processo FAPESP: 13/03447-6 - Estruturas combinatórias, otimização e algoritmos em Teoria da Computação
Beneficiário:Carlos Eduardo Ferreira
Modalidade de apoio: Auxílio à Pesquisa - Temático