240 research outputs found
Introduction
Drugs are at the centre of a complexly entangled web of science, politics, economics and culture. They are the product of scientific in- novation, and are usually brought to the bedside by private com- panies, following regulations issued by national and international authorities. These regulations are in turn the product of health poli- cies usually reflecting local cultures and ideologies
Number of loops of size h in growing scale-free networks
The hierarchical structure of scale-free networks has been investigated
focusing on the scaling of the number of loops of size h as a function
of the system size. In particular we have found the analytic expression for the
scaling of in the Barab\'asi-Albert (BA) scale-free network. We have
performed numerical simulations on the scaling law for in the BA
network and in other growing scale free networks, such as the bosonic network
(BN) and the aging nodes (AN) network. We show that in the bosonic network and
in the aging node network the phase transitions in the topology of the network
are accompained by a change in the scaling of the number of loops with the
system size.Comment: 4 pages, 3 figure
Computation of the conformal algebra of 1+3 decomposable spacetimes
The conformal algebra of a 1+3 decomposable spacetime can be computed from
the conformal Killing vectors (CKV) of the 3-space. It is shown that the
general form of such a 3-CKV is the sum of a gradient CKV and a Killing or
homothetic 3-vector. It is proved that spaces of constant curvature always
admit such conformal Killing vectors. As an example, the complete conformal
algebra of a G\"odel-type spacetime is computed. Finally it is shown that this
method can be extended to compute the conformal algebra of more general
non-decomposable spacetimes.Comment: 15 pages Latex, no figures. Minor mistakes correcte
Quantitative description and modeling of real networks
In this letter we present data analysis and modeling of two particular cases
of study in the field of growing networks. We analyze WWW data set and
authorship collaboration networks in order to check the presence of correlation
in the data. The results are reproduced with a pretty good agreement through a
suitable modification of the standard AB model of network growth. In
particular, intrinsic relevance of sites plays a role in determining the future
degree of the vertex.Comment: 4 pages, 3 figure
Diversification and limited information in the Kelly game
Financial markets, with their vast range of different investment
opportunities, can be seen as a system of many different simultaneous games
with diverse and often unknown levels of risk and reward. We introduce
generalizations to the classic Kelly investment game [Kelly (1956)] that
incorporates these features, and use them to investigate the influence of
diversification and limited information on Kelly-optimal portfolios. In
particular we present approximate formulas for optimizing diversified
portfolios and exact results for optimal investment in unknown games where the
only available information is past outcomes.Comment: 11 pages, 4 figure
Analysis of weighted networks
The connections in many networks are not merely binary entities, either
present or not, but have associated weights that record their strengths
relative to one another. Recent studies of networks have, by and large, steered
clear of such weighted networks, which are often perceived as being harder to
analyze than their unweighted counterparts. Here we point out that weighted
networks can in many cases be analyzed using a simple mapping from a weighted
network to an unweighted multigraph, allowing us to apply standard techniques
for unweighted graphs to weighted ones as well. We give a number of examples of
the method, including an algorithm for detecting community structure in
weighted networks and a new and simple proof of the max-flow/min-cut theorem.Comment: 9 pages, 3 figure
The Conformal Penrose Limit and the Resolution of the pp-curvature Singularities
We consider the exact solutions of the supergravity theories in various
dimensions in which the space-time has the form M_{d} x S^{D-d} where M_{d} is
an Einstein space admitting a conformal Killing vector and S^{D-d} is a sphere
of an appropriate dimension. We show that, if the cosmological constant of
M_{d} is negative and the conformal Killing vector is space-like, then such
solutions will have a conformal Penrose limit: M^{(0)}_{d} x S^{D-d} where
M^{(0)}_{d} is a generalized d-dimensional AdS plane wave. We study the
properties of the limiting solutions and find that M^{(0)}_{d} has 1/4
supersymmetry as well as a Virasoro symmetry. We also describe how the
pp-curvature singularity of M^{(0)}_{d} is resolved in the particular case of
the D6-branes of D=10 type IIA supergravity theory. This distinguished case
provides an interesting generalization of the plane waves in D=11 supergravity
theory and suggests a duality between the SU(2) gauged d=8 supergravity of
Salam and Sezgin on M^{(0)}_{8} and the d=7 ungauged supergravity theory on its
pp-wave boundary.Comment: 20 pages, LaTeX; typos corrected, journal versio
Analysis of Neighbourhoods in Multi-layered Dynamic Social Networks
Social networks existing among employees, customers or users of various IT
systems have become one of the research areas of growing importance. A social
network consists of nodes - social entities and edges linking pairs of nodes.
In regular, one-layered social networks, two nodes - i.e. people are connected
with a single edge whereas in the multi-layered social networks, there may be
many links of different types for a pair of nodes. Nowadays data about people
and their interactions, which exists in all social media, provides information
about many different types of relationships within one network. Analysing this
data one can obtain knowledge not only about the structure and characteristics
of the network but also gain understanding about semantic of human relations.
Are they direct or not? Do people tend to sustain single or multiple relations
with a given person? What types of communication is the most important for
them? Answers to these and more questions enable us to draw conclusions about
semantic of human interactions. Unfortunately, most of the methods used for
social network analysis (SNA) may be applied only to one-layered social
networks. Thus, some new structural measures for multi-layered social networks
are proposed in the paper, in particular: cross-layer clustering coefficient,
cross-layer degree centrality and various versions of multi-layered degree
centralities. Authors also investigated the dynamics of multi-layered
neighbourhood for five different layers within the social network. The
evaluation of the presented concepts on the real-world dataset is presented.
The measures proposed in the paper may directly be used to various methods for
collective classification, in which nodes are assigned to labels according to
their structural input features.Comment: 16 pages, International Journal of Computational Intelligence System
Cliques and duplication-divergence network growth
A population of complete subgraphs or cliques in a network evolving via
duplication-divergence is considered. We find that a number of cliques of each
size scales linearly with the size of the network. We also derive a clique
population distribution that is in perfect agreement with both the simulation
results and the clique statistic of the protein-protein binding network of the
fruit fly. In addition, we show that such features as fat-tail degree
distribution, various rates of average degree growth and non-averaging,
revealed recently for only the particular case of a completely asymmetric
divergence, are present in a general case of arbitrary divergence.Comment: 7 pages, 6 figure
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