22,979 research outputs found
Structure of Heterogeneous Networks
Heterogeneous networks play a key role in the evolution of communities and
the decisions individuals make. These networks link different types of
entities, for example, people and the events they attend. Network analysis
algorithms usually project such networks unto simple graphs composed of
entities of a single type. In the process, they conflate relations between
entities of different types and loose important structural information. We
develop a mathematical framework that can be used to compactly represent and
analyze heterogeneous networks that combine multiple entity and link types. We
generalize Bonacich centrality, which measures connectivity between nodes by
the number of paths between them, to heterogeneous networks and use this
measure to study network structure. Specifically, we extend the popular
modularity-maximization method for community detection to use this centrality
metric. We also rank nodes based on their connectivity to other nodes. One
advantage of this centrality metric is that it has a tunable parameter we can
use to set the length scale of interactions. By studying how rankings change
with this parameter allows us to identify important nodes in the network. We
apply the proposed method to analyze the structure of several heterogeneous
networks. We show that exploiting additional sources of evidence corresponding
to links between, as well as among, different entity types yields new insights
into network structure
Upstream reciprocity in heterogeneous networks
Many mechanisms for the emergence and maintenance of altruistic behavior in
social dilemma situations have been proposed. Indirect reciprocity is one such
mechanism, where other-regarding actions of a player are eventually rewarded by
other players with whom the original player has not interacted. The upstream
reciprocity (also called generalized indirect reciprocity) is a type of
indirect reciprocity and represents the concept that those helped by somebody
will help other unspecified players. In spite of the evidence for the
enhancement of helping behavior by upstream reciprocity in rats and humans,
theoretical support for this mechanism is not strong. In the present study, we
numerically investigate upstream reciprocity in heterogeneous contact networks,
in which the players generally have different number of neighbors. We show that
heterogeneous networks considerably enhance cooperation in a game of upstream
reciprocity. In heterogeneous networks, the most generous strategy, by which a
player helps a neighbor on being helped and in addition initiates helping
behavior, first occupies hubs in a network and then disseminates to other
players. The scenario to achieve enhanced altruism resembles that seen in the
case of the Prisoner's Dilemma game in heterogeneous networks.Comment: 10 figures, Journal of Theoretical Biology, in press (2010
Chimera states in heterogeneous networks
Chimera states in networks of coupled oscillators occur when some fraction of
the oscillators synchronise with one another, while the remaining oscillators
are incoherent. Several groups have studied chimerae in networks of identical
oscillators, but here we study these states in a heterogeneous model for which
the natural frequencies of the oscillators are chosen from a distribution. We
obtain exact results by reduction to a finite set of differential equations. We
find that heterogeneity can destroy chimerae, destroy all states except
chimerae, or destabilise chimerae in Hopf bifurcations, depending on the form
of the heterogeneity.Comment: Revised text. To appear, Chao
Matchability of heterogeneous networks pairs
We consider the problem of graph matchability in non-identically distributed networks. In a general class of edge-independent networks, we demonstrate that graph matchability is almost surely lost when matching the networks directly, and is almost perfectly recovered when first centering the networks using Universal Singular Value Thresholding before matching. These theoretical results are then demonstrated in both real and synthetic simulation settings. We also recover analogous core-matchability results in a very general core-junk network model, wherein some vertices do not correspond between the graph pair.First author draf
Wireless Broadband Access: Policy Implications of Heterogeneous Networks
A wireless heterogeneous network can help increase the access transmission speed and contribute thereby to the broadband deployment policies of administrations and telecommunications operators. Given the technical particularities of wireless heterogeneous networks, the deployment of wireless heterogeneous networks raises a number of challenges that need to be addressed by regulatory authorities. This article analyses the following regulatory implications: standardisation and technology neutrality, spectrum management, market analysis, open access and infrastructure sharing, interconnection pricing and charging, broadband deployment policies, and privacy and security issues. --4G,heterogeneous networks,cooperative networks,spectrum management,regulation,wireless networks
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