1. Universidade Federal do Rio Grande do Norte
2. Escola de Ciências e Tecnologia
3. ECT - Artigos publicados em periódicos

Título:	A planar network between short and long range behaviour
Autor(es):	Moreira, Darlan Araújo Lucena, Liacir dos Santos Corso, Gilberto
Palavras-chave:	Multifractal lattice;Spatially embedded networks;Planar graph;Fractal dimension
Data do documento:	15-Set-2015
Editor:	Elsevier
Referência:	MOREIRA, Darlan A.; LUCENA, Liacir dos Santos; CORSO, Gilberto. A planar network between short and long range behaviour. Physica A: Statistical Mechanics and its Applications, [S.L.], v. 434, p. 220-225, set. 2015. Disponível em: https://www.sciencedirect.com/science/article/abs/pii/S0378437115003507?via%3Dihub. Acesso em: 08 set. 2020. http://dx.doi.org/10.1016/j.physa.2015.03.088.
Resumo:	We study the Projection of Lucena Network PLN: a planar network whose nodes coincide with the sites of the square lattice. The PLN has one internal parameter ρ, for ρ → 1 the network resembles a symmetric regular lattice with almost none highly connected node while ρ → 0 is more asymmetric and there are several highly connected nodes. We estimate P(r), the probability of a node be connected to another node at distance r. The PLN follows the fractal scaling P(r) ∝ r−δ with 3 < δ < 4 according to ρ. For ρ → 1 we have δ close to 4 which is a signature of short range interactions, while ρ → 0 shows δ → 3 and has long range interactions. In addition, the fractal dimension, df, of the PLN behaves as: for ρ → 1, df = 2, the dimension of the embedding space while for ρ → 0, df increases end the PLN shares some similarities with a small world graph
URI:	https://repositorio.ufrn.br/handle/123456789/30638
ISSN:	0378-4371
Aparece nas coleções:	CB - DBF - Artigos publicados em periódicos CCET - DFTE - Artigos publicados em periódicos ECT - Artigos publicados em periódicos

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