The human brain is organized in functional modules. Such an organization presents a basic conundrum: modules ought to be sufficiently independent guarantee specialization and connected bind multiple processors for efficient information transfer. It commonly accepted that small-world architecture of short lengths large local clustering may solve this problem. However, there intrinsic tension between shortcuts generating small-worlds the persistence modularity; global property unrelated...

Covering a network with the minimum possible number of boxes can reveal interesting features for structure, especially in terms self-similar or fractal characteristics. Considerable attention has been recently devoted to this problem, finding that many real networks are fractals. Here we present, compare and study detail algorithms have used previous papers towards goal. We show problem be mapped well-known graph coloring then simply apply well-established algorithms. This seems most...

We study tolerance and topology of random scale-free networks under attack defense strategies that depend on the degree $k$ nodes. This situation occurs, for example, when robustness a node depends its or in an intentional with insufficient knowledge network. determine, all strategies, critical fraction ${p}_{c}$ nodes must be removed disintegrating find that, attack, little well-connected sites is sufficient to strongly reduce ${p}_{c}$. At criticality, network removal strategy, implying...

Transport is an important function in many network systems and understanding its behavior on biological, social, technological networks crucial for a wide range of applications. However, it property that not well understood these systems, probably because the lack general theoretical framework. Here, based finding renormalization can be applied to bionetworks, we develop scaling theory transport self-similar networks. We demonstrate invariance under length scale renormalization, show problem...

ADVERTISEMENT RETURN TO ISSUEPREVArticleNEXTTriphenylene Columnar Liquid Crystals: Excited States and Energy TransferDimitra Markovitsi, Arnaud Germain, Philippe Millie, Pierre Lecuyer, Lazaros Gallos, Panos Argyrakis, Holger Bengs, Helmut RingsdorfCite this: J. Phys. Chem. 1995, 99, 3, 1005–1017Publication Date (Print):January 1, 1995Publication History Published online1 May 2002Published inissue 1 January...

We introduce an immunization method where the percentage of required vaccinations for immunity are close to optimal value a targeted scheme highest degree nodes. Our strategy retains advantage being purely local, without need knowledge on global network structure or identification The consists selecting random node and asking neighbor that has more links than himself given threshold immunizing him. compare this other efficient strategies three real social networks scale-free model find it be...

The human brain has been studied at multiple scales, from neurons, circuits, areas with well-defined anatomical and functional boundaries, to large-scale networks which mediate coherent cognition. In a recent work, we addressed the problem of hierarchical organization in through network analysis. Our analysis identified modules fractal structure that were inter-connected small-world topology. Here, provide more details on use science tools elaborate this behavior. We indicate importance...

Connectivity correlations play an important role in the structure of scale-free networks. While several empirical studies exist, there is no general theoretical analysis that can explain largely varying behavior real Here, we use scaling theory to quantify degree particular case networks with a power-law distribution. These are classified terms their correlation properties, revealing additional information on structure. For instance, studied social and Internet at router level clustered...

Why, and how do we make new friends or establish fresh social ties? A statistical approach leads to a number of illuminating insights, by taking advantage rich online-social-networking data with single-action time resolution.

Obesity prevalence is increasing in many countries at alarming levels. A difficulty the conception of policies to reverse these trends identification drivers behind obesity epidemics. Here, we implement a spatial spreading analysis investigate whether shows correlations, revealing effect collective and global factors acting above individual choices. We find regularity fluctuations their revealed by pattern scale-free long-range correlations. The are anomalous, deviating fundamental way from...

Abstract The global spread of the COVID-19 pandemic has followed complex pathways, largely attributed to high virus infectivity, human travel patterns, and implementation multiple mitigation measures. resulting geographic patterns describe evolution epidemic can indicate areas that are at risk an outbreak. Here, we analyze spatial correlations new active cases in USA county level characterize extent these different times. We show did not progress uniformly identify various stages which...

Abstract K-core percolation is a fundamental dynamical process in complex networks with applications that span numerous real-world systems. Earlier studies focus primarily on random without spatial constraints and reveal intriguing mixed-order transitions. However, systems, ranging from transportation communication to brain networks, are not but spatially embedded. Here, we study k-core two-dimensional embedded show that, contrast regular percolation, the length of connections can control...

We show that the chemical reactions of model systems $A+A\ensuremath{\rightarrow}0$ and $A+B\ensuremath{\rightarrow}0$ when performed on scale-free networks exhibit drastically different behavior as compared to same in normal spaces. The exponents characterizing density evolution a function time are considerably higher than 1, implying both occur at much faster rate. This is due fact discerning effects generation depletion zone ($A+A$) segregation reactants ($A+B$) do not all Instead we...

As the understanding of importance social contact networks in spread infectious diseases has increased, so interest feedback process disease altering network. While many studies have explored influence individual epidemiological parameters and/or underlying network topologies on resulting dynamics, we here provide a systematic overview interactions between these two influences population-level outcomes. We show that sensitivity outcomes to combination describe are critically dependent...

We here present some opinions about the challenge of understanding what newer forms artificial intelligence (AI) are, and how they are similar to or different from human (HI)in its many manifestations. Our central thesis is this: now that inner workings an AI may consist a huge network, billions weight parameters, we might really benefit research framework studies these new intelligences using array tools have been developed assess dimensions aspects in humans animals. feel current model...

In this work I investigate the dynamics of random walk processes on scale-free networks in a short to moderate time scale. perform extensive simulations for calculation mean squared displacement, network coverage, and survival probability with concentration c static traps. It is shown that walkers remain close their origin, but cover large part at same time. This behavior markedly different than usual literature. For trapping problem numerically compute Phi(n,c) , mobile species n as...

Cell differentiation in multicellular organisms is a complex process whose mechanism can be understood by reductionist approach, which the individual processes that control generation of different cell types are identified. Alternatively, large scale approach search organizational features growth stages promises to reveal its modular global structure with goal discovering previously unknown relations between types. Here we sort and analyze set scattered data construct network human (NHCD)...

The process of destroying a complex network through node removal has been the subject extensive interest and research. Node loss typically leaves disintegrated into many small isolated clusters. Here we show that these clusters remain close to each other suggest simple algorithm is able reverse inflicted damage by restoring network's functionality. After damage, decides independently whether create new link depending on fraction neighbors it lost. In addition relying only local information,...

We study a subset of the movie collaboration network, http://www.imdb.com, where only adult movies are included. show that there many benefits in using such which can serve as prototype for studying social interactions. find strength links, i.e., how times two actors have collaborated with each other, is an important factor significantly influence network topology. see when we link all same becomes small-world, lacking proper modular structure. On other hand, by imposing threshold on minimum...

We compare reaction-diffusion processes of the $A+A\to 0$ type on scale-free networks created with either configuration model or uncorrelated model. show via simulations that except for difference in behavior two models, different results are observed within same when minimum number connections a node varies from $k_{\rm min}=1$ to min}=2$. This is attributed varying local properties systems. In all cases we able identify power law density decay time an exponent $f>1$, considerably larger...