Proprietà statistiche delle caratteristiche topologiche del grafo di un "hub" generato da un social network

Questa tesi affronta lo studio delle proprietà statistiche della topologia di un grafo, che rappresenta le relazioni interpersonali in un gruppo di utenti di Facebook. Perché è interessante? Quali informazioni produce? Anzitutto va osservato che dalla nascita di Internet in poi la globalizzazione ha reso le relazioni sociali un fenomeno di massa con numeri sorprendentemente alti di connessioni. Questo e la disponibilità dei dati forniscono una occasione preziosa per analizzarne la struttura.

Range-based attacks on links in random scale-free networks

Range and load play key roles in the problem of attacks on links in random scale-free (RSF) networks. In this paper we obtain the approximate relation between range and load in RSF networks by the generating function theory, and then give an estimation about the impact of attacks on the efficiency of the network. The results show that short-range attacks are more destructive for RSF networks, and are confirmed numerically.

EFFICIENCY DYNAMICS ON SCALE-FREE NETWORKS WITH COMMUNITIES

The simple efficiency model is developed on scale-free networks with communities to study the effect of the communities in complex networks on efficiency dynamics. For some parameters, we found that the state of system will transit from a stagnant phase to a growing phase as the strength of community decreases.

Promotion of cooperation in the form C0C1D classified by 'degree grads' in a scale-free network

In this paper, we revisit the issue of the public goods game (PGG) on a heterogeneous graph. By introducing a new effective topology parameter, 'degree grads' phi, we clearly classify the agents into three kinds, namely, C-0, C-1, and D. The mechanism for the heterogeneous topology promoting cooperation is discussed in detail from the perspective of C0C1D, which reflects the fact that the unreasoning imitation behaviour of C-1 agents, who are 'cheated' by the well-paid C-0 agents inhabiting special positions, stabilizes the formation of the cooperation community. The analytical and simulation results for certain parameters are found to coincide well with each other. The C0C1D case provides a picture of the actual behaviours in real society and thus is potentially of interest.

Robustness in scale-free networks: Comparing directed and undirected networks

In this paper, scale-free networks and their functional robustness with respect to structural perturbations of the network are studied. Two types of perturbations are distinguished: random perturbations and attacks. The robustness of directed and undirected scale-free networks is studied numerically for two different measures and the obtained results are compared. For random perturbations, the results indicate that the strength of the perturbation plays a crucial role. In general, directed scale-free networks are more robust than undirected scale-free networks.

Deterministic Scale-Free Pipeline Parallelism with Hyperqueues

Ubiquitous parallel computing aims to make parallel programming accessible to a wide variety of programming areas using deterministic and scale-free programming models built on a task abstraction. However, it remains hard to reconcile these attributes with pipeline parallelism, where the number of pipeline stages is typically hard-coded in the program and defines the degree of parallelism.

This paper introduces hyperqueues, a programming abstraction that enables the construction of deterministic and scale-free pipeline parallel programs. Hyperqueues extend the concept of Cilk++ hyperobjects to provide thread-local views on a shared data structure. While hyperobjects are organized around private local views, hyperqueues require shared concurrent views on the underlying data structure. We define the semantics of hyperqueues and describe their implementation in a work-stealing scheduler. We demonstrate scalable performance on pipeline-parallel PARSEC benchmarks and find that hyperqueues provide comparable or up to 30% better performance than POSIX threads and Intel's Threading Building Blocks. The latter are highly tuned to the number of available processing cores, while programs using hyperqueues are scale-free.

Determination of the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations

An explosive synchronization can be observed in scale-free networks when Kuramoto oscillators have natural frequencies equal to their number of connections. The present paper reports on mean-field approximations to determine the critical coupling of such explosive synchronization. It has been verified that the equation obtained for the critical coupling has an inverse dependence on the network average degree. This expression differs from those whose frequency distributions are unimodal and even. In this case, the critical coupling depends on the ratio between the first and second statistical moments of the degree distribution. Numerical simulations were also conducted to verify our analytical results.

Progettazione ed implementazione di strumenti per la valutazione di reti complesse con proprietà scale-free

Il cervello è una rete di cellule nervose connesse da assoni e le cellule stesse sono reti di molecole connesse da reazioni biochimiche. Anche le società sono reti di persone collegate da rapporti di amicizia, parentela e legami professionali. Su più larga scala, catene alimentari ed ecosistemi possono essere rappresentati come reti di specie viventi. E le reti pervadono la tecnologia: Internet, reti elettriche e sistemi di trasporto non sono che pochi degli esempi possibili. Anche il linguaggio che si sta usando in questo momento per veicolare questi ragionamenti a chi legge è una rete, fatta di parole connesse da relazioni sintattiche. A dispetto dell'importanza e della pervasività delle reti, gli scienziati hanno sempre avuto poca comprensione delle loro strutture e proprietà. In che modo le interazioni di alcuni nodi non funzionanti in una complessa rete genetica possono generare il cancro? Come può avvenire così rapidamente la diffusione in taluni sistemi sociali e di comunicazioni, portando ad epidemie di malattie e a virus informatici? Come possono alcune reti continuare a funzionare anche dopo che la maggioranza dei loro nodi ha, invece, smesso di farlo? [...] Le reti reali sono realmente casuali?

Generating Scale-free Networks with Adjustable Clustering Coefficient Via Random Walks

This paper presents an algorithm for generating scale-free networks with adjustable clustering coefficient. The algorithm is based on a random walk procedure combined with a triangle generation scheme which takes into account genetic factors; this way, preferential attachment and clustering control are implemented using only local information. Simulations are presented which support the validity of the scheme, characterizing its tuning capabilities.

Piccolo mondo antico; romanzo.

Mode of access: Internet.