Unsupervised clustering, also known as natural clustering, stands for the classification of data according to their similarities. Here we study this problem from the perspective of complex networks. Mapping the description of data similarities to graphs, we propose to extend two multiresolution modularity based algorithms to the finding of modules (clusters) in general data sets producing a mul...

Community structure analysis is a hot research spot in social networks and complex networks. In order to summarize recent research progress, this paper reviews the background, the motivation, the advantages and disadvantages of existing works related to community structure discovering. A comprehensive outline was obtained by analysis of different clustering algorithms.

Complex networks have shown to be promising mechanisms to represent several aspects of nature, since their topological and structural features help in the understanding of relations, properties and intrinsic characteristics of the data. In this context, we propose to build music networks in order to find community structures of music genres. Our main contributions are twofold: 1) Define a total...

With complex networks emerging as an effective tool to tackle multidisciplinary problems, models of network generation have gained an importance of their own. These models allow us to extensively analyze the data obtained from real-world networks, study their relevance and corroborate theoretical results. In this work, we introduce methods, based on degree preserving rewiring, that can be used ...

A community can be seen as a group of vertices with strong cohesion among themselves and weak cohesion between each other. Community structure is one of the most remarkable features of many complex networks. There are various kinds of algorithms for detecting communities. However it is widely open for the question: what can we do with the communities? In this paper, we propose some new notions ...

We present a study of the word interaction networks of Bengali in the framework of complex networks. The topological properties of these networks reveal interesting insights into the morpho-syntax of the language, whereas clustering helps in the induction of the natural word classes leading to a principled way of designing POS tagsets. We compare different network construction techniques and cl...

NADH:quinone oxidoreductase (complex I) couples NADH oxidation and quinone reduction to proton translocation across an energy-transducing membrane. All complexes I contain a flavin to oxidize NADH, seven iron-sulfur clusters to transfer electrons from the flavin to quinone and an eighth cluster (N1a) on the opposite side of the flavin. The role of cluster N1a is unknown, but Escherichia coli co...

The cluster synchronization of linearly coupled complex networks with identical and nonidentical nodes is studied. Without assuming symmetry, we proved that these linearly coupled complex networks could achieve cluster synchronization under certain pinning control schemes. Sufficient conditions guaranteeing cluster synchronization for any initial values are derived by using Lyapunov function me...

NGC 4382 is a merger-remnant galaxy that has been classified as morphological type E2, S0, and even Sa. In this work, we performed photometric spectroscopic analysis of the globular cluster (GC) system peculiar in order to provide additional information about its history. We used combination data different filters, multi-object long-slit obtained using Gemini/GMOS instrument. The GC system, Gau...

Contents Introduction. 1 1. Overview of the main constructions and results. 4 1.1. Definition and properties of the cluster complex 4 1.2. Fine Floer Homology. 9 1.3. Symmetrization. 15 1.4. Applications. 18 2. The cluster complex and its homology. 20 2.1. Clustered moduli spaces 20 2.2. Invariance of the cluster homology. 30 2.3. Various special cases. 35 3. The fine Floer complex and its homo...