@Article{CasaGrandeCotaHase:2017:RaWaDe,
author = "Casa Grande, H. L. and Cotacallapa Choque, Frank Moshe and Hase,
M. O.",
affiliation = "{Universidade de S{\~a}o Paulo (USP)} and {Instituto Nacional de
Pesquisas Espaciais (INPE)} and {Universidade de S{\~a}o Paulo
(USP)}",
title = "Random walk in degree space and the time-dependent Watts-Strogatz
model",
journal = "Physical Review E",
year = "2017",
volume = "95",
number = "1",
pages = "012321",
month = "Jan.",
keywords = "Analytical estimates, Analytical forms, Dominant contributions,
In-Degree, nocv1, Random Walk, Static model, Time dependent,
Watts-strogatz models.",
abstract = "In this work, we propose a scheme that provides an analytical
estimate for the time-dependent degree distribution of some
networks. This scheme maps the problem into a random walk in
degree space, and then we choose the paths that are responsible
for the dominant contributions. The method is illustrated on the
dynamical versions of the Erdos-R{\'e}nyi and Watts-Strogatz
graphs, which were introduced as static models in the original
formulation. We have succeeded in obtaining an analytical form for
the dynamics Watts-Strogatz model, which is asymptotically exact
for some regimes.",
doi = "10.1103/PhysRevE.95.012321",
url = "http://dx.doi.org/10.1103/PhysRevE.95.012321",
issn = "1539-3755",
language = "en",
targetfile = "casagrande_random.pdf",
urlaccessdate = "27 abr. 2024"
}