. bi o - ph ] 1 6 Fe b 20 04 Two complementary representations of a scale - free network
نویسندگان
چکیده
Several experimental studies on different fields as molecular biology, economy, or sociology have shown that real complex networks are following a power-law distribution like P (k) ≈ k −γ. However, many real networks hold two kind of nodes, being able to be projected as two embedded networks, e.g. movie-actor collaboration network (actors network and movies network), metabolic pathways (substrate/product network and enzyme/reaction network). Here we have carried out a study on the physical properties of this kind of networks, where a line graph transformation is applied on a power-law distribution. Our results indicate that a power-law distribution as P (k) ≈ k −γ+1 is found for the transformed graph together a peak for the less connected nodes. In the present paper we show a parametrization of this behaviour and discuss its possible application on real large networks.
منابع مشابه
. bi o - ph ] 1 3 A pr 2 00 5 Two complementary representations of a scale - free network
Several studies on real complex networks from different fields as biology, economy , or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like P (k) ≈ k −γ , where P (k) denotes the frequency of the nodes that are connected to k other nodes. Here we have carried out a study on scale-free networks, where a line grap...
متن کاملar X iv : 1 60 2 . 04 11 6 v 1 [ he p - th ] 1 2 Fe b 20 16 Higher spin representations of K ( E 10 )
متن کامل
2 0 Ju n 20 04 Two complementary representations of a scale - free network
Several studies on real complex networks from different fields as biology, economy , or sociology have shown that the degree of nodes (number of edges connected to each node) follows a scale-free power-law distribution like P (k) ≈ k −γ , where P (k) denotes the frequency of the nodes that are connected to k other nodes. Here we have carried out a study on scale-free networks, where a line grap...
متن کاملTiCl2/nano-γ-Al2O3 as an efficient catalyst for synthesis of substituted pyrroles under solvent-free conditions at room temperature
TiCl2/nano-γ-Al2O3 as a new heterogeneous Lewis acid catalyst was synthesized and characterized by FE-SEM, XRD, FT-IR, EDS, XRF, BET and TGA. N-substituted pyrroles have been synthesized via Paal–Knorr reaction in the presence of TiCl2/nano-γ-Al2O3 at room temperature under solvent-free conditions.
متن کاملIron (III)-silica interactions in aqueous solution: Insights from X-ray absorption fine structure spectroscopy
The influence of aqueous silica on the hydrolysis of iron(III) nitrate and chloride salts in dilute aqueous solutions (mFe 0.01 mol/kg) was studied at ambient temperature using X-ray absorption fine structure (XAFS) spectroscopy at the Fe K-edge. Results show that in Si-free iron nitrate and chloride solutions at acid pH (pH 2.5), Fe is hexa-coordinated with 6 oxygens of H2Oand/or OH-groups in ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005