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1 bers of nodes and edges, often described as "scale-free".
2 g activity fluctuations that are essentially scale free.
3 ical and biological networks appear strongly scale free.
4 any particular relaxation times and are thus scale-free.
5 l properties-including the property of being scale-free.
6                           In neural systems, scale-free activity is often neglected in electrophysiol
7     Here using data from the first ecosystem-scale Free-Air CO(2) Enrichment (FACE) experiment in a m
8 ing accelerated speech also relates to their scale-free amplitude modulation as indexed by the streng
9                       Our findings show that scale-free amplitude modulation of cortical oscillations
10 currently known space of protein families is scale free and discuss the implications of this distribu
11  in three network topologies (a proximity, a scale-free and a small-world network).
12 rk, we systematically alter the structure of scale-free and clique networks and show, through a stoch
13 he V (m) fluctuations which we analyzed were scale-free and consistent with critical branching.
14  of the population, indicating that they are scale-free and lack a characteristic decay scale other t
15 ties of biological networks, including their scale-free and modular nature.
16 These findings lead to a new hypothesis that scale-free and oscillatory neural processes account for
17  majority-vote model for opinion dynamics on scale-free and regular networks.
18                             We find that for scale-free and rich-club networks there exist specific n
19                     We provide evidence that scale-free and small-world networks are easier to contro
20 teractions, (3) infer aberrant networks with scale-free and small-world properties, and (4) group mol
21      Results show that the network exhibited scale-free and small-world topologies, indicating the po
22 alyses, biochemical networks are found to be scale-free and small-world, indicating that these networ
23 large model-organism expression datasets are scale-free and that the average clustering coefficient o
24 equal in duration, predicts that results are scale-free and unaffected by the presentation order of t
25  as highlighted by hallmarks of small world, scale free, and hierarchical modular topologies.
26 nalysis of this network shows that it is not scale-free, and is best approximated by the Watts-Stroga
27  and a dynamic pacman The material-agnostic, scale-free, and programmable nature of our design enable
28                                         This scale-free approach can easily be extended to any multic
29                                              Scale-free architectural models propose that cognition h
30                                         This scale-free architecture supports representations with di
31          The architecture of this network is scale-free, as frequently seen in biological networks, a
32  number of real networks are referred to as 'scale-free' because they show a power-law distribution o
33 of the human histone interactome reveals its scale free behavior and high modularity.
34 ted crystals are a model system for studying scale-free behavior as observed in many macroscopic syst
35  the weighted evolving hypergraph exhibits a scale-free behavior for both hyperdegree and hyperstreng
36  similarities, scale-free brain activity and scale-free behavior have been studied separately, withou
37  certain parameter regimes, recapitulate the scale-free behavior observed in similar graphs of real p
38                             We find striking scale-free behavior of the transaction volume after each
39                    Moreover, deviations from scale-free behavior were exclusively connected to brief
40  important statistical properties (so-called scale-free behavior) with real molecular networks.
41 phenomenon regarded as the co-existence of a scale-free behaviour (the avalanches close to criticalit
42 iscuss ensembles of random Boolean networks, scale free Boolean networks, "medusa" Boolean networks,
43                  Despite their similarities, scale-free brain activity and scale-free behavior have b
44 al structures and behavioral significance of scale-free brain activity and should motivate future stu
45               The functional significance of scale-free brain activity is indicated by task performan
46                                        These scale-free brain dynamics contain complex spatiotemporal
47                           Although gigahertz-scale free-carrier modulators have been demonstrated in
48 ellar stream in Andromeda II illustrates the scale-free character of the formation of galaxies, down
49  Graphic analyses of the PPI networks show a scale-free cluster size distribution, consistent with pr
50                                       From a scale-free, co-expression network analysis of transcript
51 hile some states with higher symmetries have scale-free coherence with respect to n.
52                                              Scale-free community size spectra (i.e., size distributi
53 pectrum, which reflects the non-oscillatory, scale-free component of neural activity, delineates wake
54 f the hub nodes that are responsible for the scale-free connectivity of the PDUG.
55        However, many biological networks are scale-free, containing highly connected hub nodes.
56 fractional Brownian motion coexisting with a scale-free continuous time random walk, the two most typ
57 ng in magnets, and the correct prediction of scale-free correlations arises because the parameters--c
58              Interestingly, we find the same scale-free correlations in economic activities associate
59  the dynamics of other complex systems where scale-free cross-correlations have been observed, includ
60  motivated explanation for the occurrence of scale-free cross-correlations.
61 the hallmarks of complex systems such as the scale-free degree distribution of small-worldness.
62 iversal properties of real complex networks (scale-free degree distribution, small-world and communit
63  similarity among F1 recombinants exhibits a scale-free degree distribution.
64                                          For scale-free degree distributions, however, this is not th
65  on what the most common properties are, but scale-free degree distributions, strong clustering, and
66  the biological networks show a power law or scale free distribution of connectivities.
67 genously driven extinction events can have a scale-free distribution in simple spatially structured h
68                                          The scale-free distribution of antiferromagnetic domains and
69  the radiation hybrid network did not show a scale-free distribution of connectivity but was Gaussian
70                                          The scale-free distribution of hubs in the protein universe
71                               Because of the scale-free distribution of protein interaction networks,
72                             Can we model the scale-free distribution of Web hypertext degree under re
73 tabolic networks is organized according to a scale-free distribution, in which hubs with large number
74 gredients reproduces the observed stationary scale-free distributions, which indicates that the devel
75 ion of synchronous cell assemblies and their scale-free dynamics adjusts to the temporal properties o
76 ody-centered cubic Nb how the long-range and scale-free dynamics at room temperature are progressivel
77                                In the model, scale-free dynamics emerge only when the model operates
78                         Here, we investigate scale-free dynamics in human brain and show that it cont
79 d frequencies in the brain differ from other scale-free dynamics in nature, such as earth seismic wav
80  that speech comprehension is related to the scale-free dynamics of delta and theta bands, whereas th
81                           Here, we show that scale-free dynamics of mouse behavior and neurons in the
82 nd experiment have shown that such critical, scale-free dynamics optimize information processing.
83        As adaptation tuned the cortex toward scale-free dynamics, stimulus discrimination was enhance
84                                              Scale-free dynamics, with a power spectrum following P p
85 asks are not essential for the expression of scale-free dynamics.
86 rain electrical field potentials consists of scale-free dynamics.
87                                              Scale-free effects were evident, with small numbers of i
88 rate that the broadband power fluctuation of scale-free electrophysiology is globally synchronized an
89 ong molecular dynamics simulations and large-scale free energy calculations complemented by in vitro
90   Based on these results, we conjecture that scale-free extinction processes and critical phase trans
91            The PIN rewired by curcumin was a scale-free, extremely linked biological system.
92 the number of events and their magnitude, or scale-free flow.
93 we demonstrate the hyphenation of production-scale free-flow electrophoresis (FFE) and sheathless ele
94 orn rats in vitro, and show that while these scale-free fluctuations are independent of temporal inpu
95                                              Scale-free fluctuations are ubiquitous in behavioral per
96 stability and instability as is reflected in scale-free fluctuations in spontaneous neural activity.
97 and inhibition, and that is characterized by scale-free fluctuations.
98 ctures with characteristic length scales and scale-free fractal [Formula: see text] heterostructures.
99 e functional roles as hubs in a hierarchical scale-free fractal protein-protein interaction network.
100                             Levy flights are scale-free (fractal) search patterns found in a wide ran
101 t fluctuations in brain activity may exhibit scale-free ("fractal") dynamics.
102                              Given origami's scale-free geometric character, this framework for metam
103                 Adding cycles to the acyclic scale-free graph increases cooperation when multiple gam
104   We also confirm the negative effect of the scale-free graph on cooperation when effective payoffs a
105 ks with null percolation thresholds, such as scale-free graphs with diverging second moment of the de
106   The RNA-Seq coexpression network displayed scale-free, hierarchical network structure.
107 een recently described as "small-world" and "scale-free." However, studies disagree whether ecologica
108                    The power fluctuations of scale-free human electroencephalography (EEG) were coupl
109 omogeneous networks while for d > 2 they are scale-free i.e. they are characterized by large inhomoge
110        Furthermore, neural activity is often scale-free, implying that some measurements should be th
111 signal recorded from the human brain is also scale free; its power-law exponent differentiates betwee
112 ng two constraints: 1) it must depend upon a scale-free Lagrangian, and 2) the Lagrangian must change
113 tible with the adoption of an optimal biased scale-free (Levy-flight) searching strategy.
114 lieved that random search processes based on scale-free, Levy stable jump length distributions (Levy
115  specificity is an additional pressure for a scale-free-like PPIN.
116                             At the microbial scale, free-living bacteria benefit from encountering an
117 of their prevalence revealed by a pattern of scale-free long-range correlations.
118 fluctuations of broadband and arrhythmic, or scale-free, macaque electrocorticography and human magne
119  Real-world networks are often claimed to be scale free, meaning that the fraction of nodes with degr
120 reeness) provides testable predictions about scale-free measurements that are readily applied to V (m
121 red by amino acid constraints, using a novel scale-free method that identifies regions of outlying sc
122 twork of the US economy and find that purely scale-free models have trouble matching key attributes o
123 rgic phenotypes, including cluster analysis, scale-free models, candidate biomarkers, and IgE microar
124 rtices of 11 primate species follow a common scale-free morphometric trajectory, that also overlaps w
125 food, many organisms adopt a superdiffusive, scale-free movement pattern called a Levy walk, which is
126 lights, a popular but controversial model of scale-free movement patterns.
127 ticular organisms, these subgraphs exhibit a scale-free nature as well.
128  that this model is able to recapitulate the scale-free nature observed in graphs of real protein str
129                   Thus, inferences about the scale-free nature of a network may have to be treated wi
130 e fundamental properties help to explain the scale-free nature of complex networks and suggest a comm
131  downstream genes (regulons), indicating the scale-free nature of host gene co-expression in W12.
132           This model reproduces not only the scale-free nature of such graphs but also a number of hi
133 tems, and explain how this is related to the scale-free nature of the extinction process.
134 e rest of that decade would go by before the scale-free nature of the IM space was uncovered.
135                                          The scale-free nature of this and other systems has previous
136                                          The scale-free nature of this graph, termed the protein doma
137 ds and 224 chemical reactions, has a typical scale-free nature.
138 patial Prisoner's Dilemma on a lattice and a scale-free network (1,229 subjects).
139 namics of the materials stability network: a scale-free network constructed by combining the convex f
140 l that surprisingly it self-organizes into a scale-free network exhibiting also a power-law in the di
141             In contrast to the prediction of scale-free network models, however, we find that the mos
142 opic, physics-based evolutionary model for a scale-free network of biological importance and as such
143  were performed using a Barabasi-Albert (BA) scale-free network seeded with a single piece of informa
144 y significant structural data are available, scale-free network statistics based solely on the distri
145 omain rearrangements elicited non-random and scale-free network structure.
146 roteins have few partners, consistent with a scale-free network topology.
147 s in the polyprotein can be organized into a scale-free network whose degree of connections between s
148 ls-in three complex social networks-a simple scale-free network, an empirical Venezuelan college stud
149 a random regular graph, a random graph and a scale-free network, and we examine the features of the g
150 s between protein families has the form of a scale-free network, meaning that most protein families o
151   The results are suggestive a hierarchical, scale-free network, where a few highly interconnected ge
152  experimentally derived RNA interactome is a scale-free network, which is not expected from currently
153                             Our network is a scale-free network, which means that a small number of d
154 ociations and displayed characteristics of a scale-free network.
155 tructures is organized hierarchically into a scale-free network.
156   This type of pattern can be described by a scale-free network.
157   This type of pattern can be described as a scale-free network.
158  a web of control systems, reminiscent of a 'scale-free' network, whose untangling requires integrate
159 trogatz), random networks (Erdos-Renyi), and scale-free networks (Barabasi-Albert)-to assess the impa
160   Here, we organize different definitions of scale-free networks and construct a severe test of their
161 o specific approaches focused on here (i.e., scale-free networks and highly optimized tolerance netwo
162  Deep connections are known to exist between scale-free networks and non-Gibbsian statistics.
163 se parameter q(c) as a function of z for the scale-free networks and obtain the phase diagram of the
164                                              Scale-free networks and strong selection are generally d
165 eaters, especially for the stag-hunt game in scale-free networks and when the selection strength is s
166           Both biological and non-biological scale-free networks are particularly resistant to random
167 erturbed lattices, small-world networks, and scale-free networks behave similarly.
168 accination strategies targeting hub nodes in scale-free networks did not substantially reduce the tot
169 ologically observed exponents for functional scale-free networks fall in a range corresponding to the
170                                              Scale-free networks have had a profound impact in Biolog
171                                              Scale-free networks have lower throughput than their ran
172                  Considering the ubiquity of scale-free networks in nature, we hypothesize that this
173   Here we propose that the emergence of many scale-free networks is tied to the efficiency of transpo
174 rganization, reminiscent of 'small-world' or scale-free networks observed in other complex systems.
175  this hidden distributed architecture behind scale-free networks protects the overall transcriptional
176                 However, the universality of scale-free networks remains controversial.
177                  The decade-old discovery of scale-free networks was one of those events that had hel
178                              In contrast, in scale-free networks we predict analytically the emergenc
179 namical rules of these networks can generate scale-free networks with clustering and communities, in
180 s, we show that spreading improve in evolved scale-free networks with lower shortest-path and structu
181 etwork structures, including small-world and scale-free networks, and cascade food webs.
182 sign principles of robust and error-tolerant scale-free networks, and may represent a common blueprin
183 e the efficiency of each method on synthetic scale-free networks, as well as real complex networks.
184 f three classes of small-world networks: (a) scale-free networks, characterized by a vertex connectiv
185 ugh food webs are generally not small-world, scale-free networks, food-web topology is consistent wit
186 l graphs, such as fractals, random trees and scale-free networks, revealing the direct relation betwe
187 r than would be expected for similarly sized scale-free networks, suggesting an inherent hierarchical
188 ual neurons, but here, we investigate ISR in scale-free networks, where the average spiking rate is c
189 ss of inhomogeneously wired networks, called scale-free networks, which include the World-Wide Web, t
190 ence is responsible for the emergence of the scale-free networks.
191  size of the minimum dominating set (MDS) in scale-free networks.
192  work has focused on mechanisms that produce scale-free networks.
193 -Reny, random scale-free, or Barabasi-Albert scale-free networks.
194 e an indicator for topological robustness of scale-free networks.
195 anding not only PPIs but also other types of scale-free networks.
196      We also explore evolution on random and scale-free networks.
197 ems, and which are typically associated with scale-free networks.
198 anding debate on the nature and existence of scale-free networks.
199  diffusive or hydraulic transport in complex scale-free networks.
200 e networks are more resilient than simulated scale-free networks.
201   We find that networks having a power-law ("scale-free") node degree distribution readily generate e
202 cortical state was uniquely characterized by scale-free ongoing population dynamics and moderate corr
203  for biological networks is that they have a scale-free or power-law architecture.
204  of cancer is driven by two factors: (i) the scale-free (or near scale-free) topology of the interact
205 ric random graphs than by Erdos-Reny, random scale-free, or Barabasi-Albert scale-free networks.
206 ) are on a particular extreme: they are also scale free (order free).
207  stimulus processing on the one hand and the scale-free organization of spatiotemporal network dynami
208 visual cortex follow a remarkably consistent scale-free organization-their variance decay is consiste
209  suggesting that that brain networks have a "scale-free" organization.
210 ticality, a dynamical state characterized by scale-free oscillations and a hallmark of neuronal netwo
211 ticality, a dynamical state characterized by scale-free oscillations, optimizes the capacity of neuro
212 or new theoretical explanations of these non-scale-free patterns.
213 us pathway interactions may exhibit the same scale-free phenomenon that has been documented for prote
214 lace burst suppression in the broad class of scale-free physical processes termed crackling noise and
215 nspecific fluctuation and synchronization in scale-free population activity also varied across and de
216 tivity is the broadband power fluctuation in scale-free population activity observable with macroscop
217 , we show that genetic distinctiveness has a scale-free power law distribution.
218 e episodes during the sleep period exhibit a scale-free power-law behavior with an exponent alpha tha
219 at in both cases it is described by the same scale-free power-law distribution with an additional pea
220 ribution, whereas those in type-II display a scale-free power-law distribution with exponent approxim
221 s is that the vertex connectivities follow a scale-free power-law distribution.
222 laypeople and professional musicians exhibit scale-free (power law) cross-correlations.
223 pology and their chemistry on an equivalent 'scale-free' power-law foundation.
224 sal curve, suggesting that displacement is a scale-free process.
225 ted power law nature indicating hierarchical scale-free properties and five levels of organization.
226                               A network with scale-free properties appeared when the Ca2+ genes were
227 al hourglass recruitment pattern transferred scale-free properties from loop to domain components of
228 e observed effects on long-range dependence, scale-free properties of alpha oscillations themselves,
229                                          The scale-free properties of the fMRI signal and brain elect
230 ults demonstrate the functional relevance of scale-free properties of the fMRI signal and impose cons
231               We examine the origin of these scale-free properties of the graph of protein domain str
232 --patterns of complex bursting activity with scale-free properties--is examined in leaky Markovian ne
233 orks generated with high MI values displayed scale-free properties.
234 erse, which has been found to poses peculiar scale-free properties.
235 all-world, single-scale, and to some degree, scale-free properties.
236 pre discovers a network with small-world and scale-free properties.
237                                In apparently scale-free protein-protein interaction networks, or 'int
238 adds to the evolutionary pressure to develop scale-free protein-protein interaction networks.
239 curs when the continuous scale symmetry of a scale-free quantum system is broken into a discrete scal
240 e living animals use a theoretically optimal scale-free random search for sparse resources known as a
241  walk paradigm because they are discrete and scale-free rather than continuous and scale-finite.
242                             Across two large-scale free-recall experiments, we show that reactivation
243 d the CSK matrix, which was followed by slow scale-free recovery of rheological properties (aging).
244 oss a remarkable 5 orders of magnitude and a scale-free relationship between burst sizes and duration
245 ft glasses, but not all materials expressing scale-free rheology are glassy (see plastics, wood, conc
246                                              Scale-free rheology is often found in a class of materia
247 amental requirement to account for virtually scale-free self-assembly of the morphogen gradients obse
248                           We investigate how scale-free (SF) and Erdos-Renyi (ER) topologies affect t
249                                          The scale-free (SF) property is a major concept in complex n
250  in the Hurst exponent (H), which quantifies scale-free signal, was related to three different source
251                                              Scale-free signals follow a spectral-power curve of the
252 he worldwide air transportation network is a scale-free small-world network.
253 conditions exhibited topological features of scale free, small world and modularity, which were consi
254  method that uses topological constraints of scale-free, small-world biological networks to reconstru
255 ation dynamics towards a special regime with scale-free spatiotemporal activity, after an initial lar
256 x displays critical dynamics, giving rise to scale-free spatiotemporal cascades of activity, termed n
257  so-called critical state characterized by a scale-free spatiotemporal structure.
258            This process generates centimeter-scale free-standing structures composed of paper support
259                               On a molecular scale, free-standing capsules with an internal volume su
260 chemical vapour deposition(5), of centimetre-scale, free-standing, continuous and stable monolayer am
261 hen the input itself possesses natural-like, scale-free statistics.
262 s of Internet traffic and, in some contexts, scale-free structure in the network's interconnection to
263 works, we find robust evidence that strongly scale-free structure is empirically rare, while for most
264 although some food webs have small-world and scale-free structure, most do not if they exceed a relat
265 n natural and artificial complex systems, of scale-free structures and to their connections with none
266 dients of a scalar distributed on the nodes, scale-free structures will ensure efficient processing,
267  processing, whereas structures that are not scale-free, such as random graphs, will become congested
268                           It gives rise to a scale-free tail of the time-aggregated population distri
269 ut path flow allocations are more unequal in scale-free than in random regular networks.
270       A large number of complex networks are scale-free--that is, they follow a power-law degree dist
271   Not only are fluctuations of somatic V (m) scale-free, they match fluctuations of population activi
272                  Here we analyze whether the scale-free topologies of the partial networks obtained f
273 ng of patterns of behavior, we show that the scale-free topologies often found in nature enable more
274      The gene network showed small-world and scale-free topologies, suggesting efficiency in genetic
275               These partial networks display scale-free topologies--most proteins participate in only
276 ved protein-protein interaction networks had scale-free topologies.
277  co-conservation based networks to exhibit a scale free topology, as expected for biological networks
278 vers 77% of the expressed genes, and shows a scale-free topology and functional modularity like a rea
279 lized damage, the function of a network with scale-free topology can be significantly restored by a l
280 urrent limited coverage levels, the observed scale-free topology of existing interactome maps cannot
281 g of random phenotypic variation through the scale-free topology of gene regulatory, metabolic, and p
282                 A link between the potential scale-free topology of interactome networks and genetic
283 n this study, an algorithm that explores the scale-free topology of networks was proposed based on th
284 ng crucial as we try to explain the emergent scale-free topology of the World Wide Web and use link a
285 ties in small-world networks that followed a scale-free topology.
286 tworks whose degree distributions follow the scale-free topology.
287 d similar network structures approximating a scale-free topology.
288 stems, when represented as graphs, exhibit a scale-free topology.
289 ex networks is a direct consequence of their scale-free topology.
290 vealed a common network architecture, termed scale-free topology.
291 ted that many biological networks exhibit a "scale-free" topology, for which the probability of obser
292  by two factors: (i) the scale-free (or near scale-free) topology of the interaction network, and (ii
293 a hidden distributed architecture behind the scale-free transcriptional regulatory network of yeast b
294 rotein-protein binding that is approximately scale-free (varies as a power law) even though their evo
295  Here we present a solution in the form of a scale-free, vertical tracking microscope, based on a 'hy
296 ring numerous methods to tailor the Angstrom-scale free volume properties by judicious selection of t
297              However, the locations graph is scale-free, which allows highly efficient outbreak detec
298 thermore, social networks are at best weakly scale free, while a handful of technological and biologi
299 particular, show that these fluctuations are scale-free, with effective correlation lengths proportio
300 networks indicates that transit contacts are scale-free, work contacts are Weibull distributed, and s

 
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