Systematic topology analysis and generation using degree correlations

Molecular field topology analysis and structure generation

Molecular Field Topology Analysis (MFTA) [1] is a QSAR approach based on the local (atomic) descriptors. First, a so-called molecular supergraph is constructed which is a simple graph such that the molecular graphs of all training set structures can be represented as its subgraphs. A uniform descriptor set for the statistical analysis is obtained by superimposing each training set structure ont...

On degree-degree correlations in multilayer networks

We propose a generalization of the concept of assortativity based on the tensorial representation of multilayer networks, covering the definitions given in terms of Pearson and Spearman coefficients. Our approach can also be applied to weighted networks and provides information about correlations considering pairs of layers. By analyzing the multilayer representation of the airport transportati...

Generating analysis topology using virtual topology operators

Virtual topology operations have been utilized to generate an analysis topology definition suitable for downstream mesh generation. Detailed descriptions are provided for virtual topology merge and split operations for all topological entities, where virtual decompositions are robustly linked to the underlying geometry. Current virtual topology technology is extended to allow the virtual partit...

Asymptotic analysis of network structures: degree-degree correlations and directed paths

Generation of degree-correlated networks using copulas

Different dynamical processes on complex networks such as epidemic spreading, information propagation or cascading phenomena are highly affected by the underlying topologies as characterized by, for instance, the degree-degree association. Here, we introduce the concept of copulas in order to artificially generate random networks with a rich a priori degree-degree association structure. The acc...