665,582 research outputs found
Tunable and Growing Network Generation Model with Community Structures
Recent years have seen a growing interest in the modeling and simulation of
social networks to understand several social phenomena. Two important classes
of networks, small world and scale free networks have gained a lot of research
interest. Another important characteristic of social networks is the presence
of community structures. Many social processes such as information diffusion
and disease epidemics depend on the presence of community structures making it
an important property for network generation models to be incorporated. In this
paper, we present a tunable and growing network generation model with small
world and scale free properties as well as the presence of community
structures. The major contribution of this model is that the communities thus
created satisfy three important structural properties: connectivity within each
community follows power-law, communities have high clustering coefficient and
hierarchical community structures are present in the networks generated using
the proposed model. Furthermore, the model is highly robust and capable of
producing networks with a number of different topological characteristics
varying clustering coefficient and inter-cluster edges. Our simulation results
show that the model produces small world and scale free networks along with the
presence of communities depicting real world societies and social networks.Comment: Social Computing and Its Applications, SCA 13, Karlsruhe : Germany
(2013
Hierarchical mutual information for the comparison of hierarchical community structures in complex networks
The quest for a quantitative characterization of community and modular
structure of complex networks produced a variety of methods and algorithms to
classify different networks. However, it is not clear if such methods provide
consistent, robust and meaningful results when considering hierarchies as a
whole. Part of the problem is the lack of a similarity measure for the
comparison of hierarchical community structures. In this work we give a
contribution by introducing the {\it hierarchical mutual information}, which is
a generalization of the traditional mutual information, and allows to compare
hierarchical partitions and hierarchical community structures. The {\it
normalized} version of the hierarchical mutual information should behave
analogously to the traditional normalized mutual information. Here, the correct
behavior of the hierarchical mutual information is corroborated on an extensive
battery of numerical experiments. The experiments are performed on artificial
hierarchies, and on the hierarchical community structure of artificial and
empirical networks. Furthermore, the experiments illustrate some of the
practical applications of the hierarchical mutual information. Namely, the
comparison of different community detection methods, and the study of the
consistency, robustness and temporal evolution of the hierarchical modular
structure of networks.Comment: 14 pages and 12 figure
Local Edge Betweenness based Label Propagation for Community Detection in Complex Networks
Nowadays, identification and detection community structures in complex
networks is an important factor in extracting useful information from networks.
Label propagation algorithm with near linear-time complexity is one of the most
popular methods for detecting community structures, yet its uncertainty and
randomness is a defective factor. Merging LPA with other community detection
metrics would improve its accuracy and reduce instability of LPA. Considering
this point, in this paper we tried to use edge betweenness centrality to
improve LPA performance. On the other hand, calculating edge betweenness
centrality is expensive, so as an alternative metric, we try to use local edge
betweenness and present LPA-LEB (Label Propagation Algorithm Local Edge
Betweenness). Experimental results on both real-world and benchmark networks
show that LPA-LEB possesses higher accuracy and stability than LPA when
detecting community structures in networks.Comment: 6 page
Community Structure Detection in Complex Networks with Partial Background Information
Constrained clustering has been well-studied in the unsupervised learning
society. However, how to encode constraints into community structure detection,
within complex networks, remains a challenging problem. In this paper, we
propose a semi-supervised learning framework for community structure detection.
This framework implicitly encodes the must-link and cannot-link constraints by
modifying the adjacency matrix of network, which can also be regarded as
de-noising the consensus matrix of community structures. Our proposed method
gives consideration to both the topology and the functions (background
information) of complex network, which enhances the interpretability of the
results. The comparisons performed on both the synthetic benchmarks and the
real-world networks show that the proposed framework can significantly improve
the community detection performance with few constraints, which makes it an
attractive methodology in the analysis of complex networks
A similarity-based community detection method with multiple prototype representation
Communities are of great importance for understanding graph structures in
social networks. Some existing community detection algorithms use a single
prototype to represent each group. In real applications, this may not
adequately model the different types of communities and hence limits the
clustering performance on social networks. To address this problem, a
Similarity-based Multi-Prototype (SMP) community detection approach is proposed
in this paper. In SMP, vertices in each community carry various weights to
describe their degree of representativeness. This mechanism enables each
community to be represented by more than one node. The centrality of nodes is
used to calculate prototype weights, while similarity is utilized to guide us
to partitioning the graph. Experimental results on computer generated and
real-world networks clearly show that SMP performs well for detecting
communities. Moreover, the method could provide richer information for the
inner structure of the detected communities with the help of prototype weights
compared with the existing community detection models
- …