61 research outputs found
Core Decomposition in Multilayer Networks: Theory, Algorithms, and Applications
Multilayer networks are a powerful paradigm to model complex systems, where
multiple relations occur between the same entities. Despite the keen interest
in a variety of tasks, algorithms, and analyses in this type of network, the
problem of extracting dense subgraphs has remained largely unexplored so far.
In this work we study the problem of core decomposition of a multilayer
network. The multilayer context is much challenging as no total order exists
among multilayer cores; rather, they form a lattice whose size is exponential
in the number of layers. In this setting we devise three algorithms which
differ in the way they visit the core lattice and in their pruning techniques.
We then move a step forward and study the problem of extracting the
inner-most (also known as maximal) cores, i.e., the cores that are not
dominated by any other core in terms of their core index in all the layers.
Inner-most cores are typically orders of magnitude less than all the cores.
Motivated by this, we devise an algorithm that effectively exploits the
maximality property and extracts inner-most cores directly, without first
computing a complete decomposition.
Finally, we showcase the multilayer core-decomposition tool in a variety of
scenarios and problems. We start by considering the problem of densest-subgraph
extraction in multilayer networks. We introduce a definition of multilayer
densest subgraph that trades-off between high density and number of layers in
which the high density holds, and exploit multilayer core decomposition to
approximate this problem with quality guarantees. As further applications, we
show how to utilize multilayer core decomposition to speed-up the extraction of
frequent cross-graph quasi-cliques and to generalize the community-search
problem to the multilayer setting
MEDUSA - New Model of Internet Topology Using k-shell Decomposition
The k-shell decomposition of a random graph provides a different and more
insightful separation of the roles of the different nodes in such a graph than
does the usual analysis in terms of node degrees. We develop this approach in
order to analyze the Internet's structure at a coarse level, that of the
"Autonomous Systems" or ASes, the subnetworks out of which the Internet is
assembled. We employ new data from DIMES (see http://www.netdimes.org), a
distributed agent-based mapping effort which at present has attracted over 3800
volunteers running more than 7300 DIMES clients in over 85 countries. We
combine this data with the AS graph information available from the RouteViews
project at Univ. Oregon, and have obtained an Internet map with far more detail
than any previous effort.
The data suggests a new picture of the AS-graph structure, which
distinguishes a relatively large, redundantly connected core of nearly 100 ASes
and two components that flow data in and out from this core. One component is
fractally interconnected through peer links; the second makes direct
connections to the core only. The model which results has superficial
similarities with and important differences from the "Jellyfish" structure
proposed by Tauro et al., so we call it a "Medusa." We plan to use this picture
as a framework for measuring and extrapolating changes in the Internet's
physical structure. Our k-shell analysis may also be relevant for estimating
the function of nodes in the "scale-free" graphs extracted from other
naturally-occurring processes.Comment: 24 pages, 17 figure
Communities and beyond: mesoscopic analysis of a large social network with complementary methods
Community detection methods have so far been tested mostly on small empirical
networks and on synthetic benchmarks. Much less is known about their
performance on large real-world networks, which nonetheless are a significant
target for application. We analyze the performance of three state-of-the-art
community detection methods by using them to identify communities in a large
social network constructed from mobile phone call records. We find that all
methods detect communities that are meaningful in some respects but fall short
in others, and that there often is a hierarchical relationship between
communities detected by different methods. Our results suggest that community
detection methods could be useful in studying the general mesoscale structure
of networks, as opposed to only trying to identify dense structures.Comment: 11 pages, 10 figures. V2: typos corrected, one sentence added. V3:
revised version, Appendix added. V4: final published versio
Combining Traditional Marketing and Viral Marketing with Amphibious Influence Maximization
In this paper, we propose the amphibious influence maximization (AIM) model
that combines traditional marketing via content providers and viral marketing
to consumers in social networks in a single framework. In AIM, a set of content
providers and consumers form a bipartite network while consumers also form
their social network, and influence propagates from the content providers to
consumers and among consumers in the social network following the independent
cascade model. An advertiser needs to select a subset of seed content providers
and a subset of seed consumers, such that the influence from the seed providers
passing through the seed consumers could reach a large number of consumers in
the social network in expectation.
We prove that the AIM problem is NP-hard to approximate to within any
constant factor via a reduction from Feige's k-prover proof system for 3-SAT5.
We also give evidence that even when the social network graph is trivial (i.e.
has no edges), a polynomial time constant factor approximation for AIM is
unlikely. However, when we assume that the weighted bi-adjacency matrix that
describes the influence of content providers on consumers is of constant rank,
a common assumption often used in recommender systems, we provide a
polynomial-time algorithm that achieves approximation ratio of
for any (polynomially small) . Our
algorithmic results still hold for a more general model where cascades in
social network follow a general monotone and submodular function.Comment: An extended abstract appeared in the Proceedings of the 16th ACM
Conference on Economics and Computation (EC), 201
Industrial districts in a globalizing world: A model to change or a model of change?
Industrial districts â and especially industrial districts in Italy â have been put forth as a model of economic development premised on the deep rooting of firms in a local socio-economic system that is both rich in skills and tied into international flows of goods and knowledge. But there is also a sense today that those districts are in transformation, that globalization has put them âon the move.â This has led some to question whether a model that is becoming many models can still in fact be a model. In this paper, we use a study of the Modenese mechanical district â an archetypical industrial district â to examine this âmovement.â We argue that when properly understood the Italian districts do still offer lessons that are generalizable to other regional economies. We show that the district in question is changing, and show in particular that there has been a rise to prominence in the district of relatively small multinational firms. These are changes that are not atypical of industrial districts in Italy. We argue that a deeper look at just how the districts are changing makes clear that this rise to prominence has not severed these firmsâ ties to smaller firms in the district. Rather, they have drawn upon those relations for essential support both on production and innovation. We also show also that there is a cognizance of this fact in the district, evidenced in efforts to recreate private regional institutions consistent with a district structure âon the move.â Drawing on our these findings, and on a theoretical approach that holds that productive systems in industrial districts are constituted by the multiplicity of interactions between firms, we conclude that changes in the district in question require also changes in the institutions that sustain those interactions, including especially the emergence of ânew public spacesâ and new âscaffolding structures.â Using the concrete example of a company created to foster collaborative technology transfer among its owner-members, we discuss the nature of the public spaces and scaffolding structures attuned to the needs of a more vertical and fragmented open district structure. We finally consider implications for public policies supporting innovation.Innovation policy; local development policies; regional development policies; evaluation management
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