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Thresholding is a necessary step to use binary graphs derived from functional connectivity data.
The existing network measures and network sampling algorithms for complex social networks are designed basically for deterministic binary graphs with fixed weights.
However, many network measures were designed to be calculated on binary graphs, whereas functional brain organization is typically inferred from a continuous measure of correlations in temporal signal between brain regions.
(Subgraph) Let (G'=(V',E')) and (G= V,E)) be two binary graphs.
There are (2^3=8) binary graphs that can be implied with different probabilities.
Therefore, by enumerating the possible existence of all edges in a weighted graph, we can obtain a set of binary graphs.
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These results demonstrate that caution should be used when applying thresholds to functional connectivity data and when interpreting results from binary graph models.
It is known that a Markov basis of the binary graph model of a graph G corresponds to a set of binomial generators of cut ideals IˆG of the suspension ˆG of G.
Fig. 7 The unitary and binary graph-sets for triamterene.
We present a novel algorithm (GP) for maximal clique enumeration based on iterative binary graph partitioning.
In this paper, we propose a novel approach based on binary graph partitioning for maximal clique enumeration over graph data.
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