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We say that M is a strong module if for any other module A the intersection M∩A is empty or equals either M or A. For a non-trivial graph G, the family {M1,M2,…,M p } of all maximal (proper) strong modules is a partition of V(G).
Lastly, all landmarks were grouped into two bins, based on membership in a "strong" module or a "weak" module, and a Mann-Whitney test was used to test for differences in landmark variances between the two bins.
In a strong module each vertex has more connections with the cluster than with the rest of the graph.
In PPI networks, there exist complexes which have structure of a strong module, or of a weak module, or a combination of the two.
Inspired by the finding, we consider that the cores correspond to the structure of a strong module [ 26] we introduced above and the attachment corresponds to the structure of a weak module [ 26].
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Given an optimal clique-colouration ofG′, an optimal clique-colouration ofGis obtained assigning to every vertex belonging to a maximal strong module ofGthe same colour of its representative vertex inG′.
However, that approach is only appropriate when the PUs are occupying a certain spectrum in a regular manner, and it would likely be unsuitable when the PUs' behavior is unpredictable (unless a strong learning module is included to cope with the PUs' behavior).
As a strong supportive module, the CADpolyp pipeline was integrated into the visualization system.
In the following we demonstrate GEMOT's ability to identify a model for previously uncharacterized connections, with either strong (module no. 3) or weak (module no. 4) correlations among traits.
Comprehensive simulation studies led to the following thresholds: a module shows no evidence of preservation if its Z statistic is smaller than 2; a Z statistic larger than 5 (or 10) indicates moderate (strong) module preservation.
In Carnivora, the molar group had marginally significantly higher disparity than the random sets of "weak" module landmarks (p = 0.05), while the orbit, zygomatic-pterygoid, and vault groups all had significantly or marginally significantly higher disparity than the random sets of "strong" module landmarks (p<0.001, p<0.001, and p = 0.03, respectively).
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