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In a recent paper, Gagneur et al. applied modular decomposition to elucidate the organization of protein complexes [ 16].
Gagneur et al. [ 16] applied modular decomposition to the network of these associations but the decomposition halted quickly at large non-decomposable modules.
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The principle of modular decomposition appears to be the implicit basis in all these adaptive multichannel processing techniques, and provides for the scalar only operations.
We derive an O(n2) decomposition algorithm and we take advantage of the involution modular decomposition tree to obtain several algorithmic results.
The basic principle behind modular decomposition is to iteratively identify and contract nodes that are in a certain sense equivalent, until no more equivalent nodes can be found in the graph.
Formal methods, software design documents and clear modular decomposition criteria are introduced to improve the quality of mesh generation software.
However, clear modular decomposition is often hard due to the heterogeneous or scale-free properties of PPI networks.
A graph partitioning approach based on the work of Guimera et al. [35] is then used to determine the modular decomposition of a protein.
The modular decomposition of the protein enabled us to characterize residues based on their intra-module connectivity, z and inter-module connectivity or participation coefficient, P. Residues that acted as connector hubs between modules, that is, those with high |P/z| values were found to be those that were known to be protected early during the transition state from experimental evidence [27].
This distribution of the neurons of each ganglion into the
Modular decomposition of a large matrix amounts to search in a very high dimensional space [ 15].
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