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The commission quietly warned Herman Van Rompuy, the EU council president in charge of the summit, to table only a minimal cut to its proposed administration bill, half a billion over seven years.
According to (17), the global minimum cut of an undirected graph can be converted into a minimal cut problem with a source point and a sink point.
A minimal cut set (MCS) has been defined as a minimal set of reactions whose removal blocks the operation of a chosen objective reaction.
We then calculated the fragility of the network by using the F coefficient [22], which is defined as the inverse of the average value of the number of interactions participating in a minimal cut set.
Thus, F is a minimal cut.
Furthermore, if Ψ(e′) is a minimal cut of G (P ) then Ψ′(f)= Ψ(e′) and Ψ′(f) is a minimal cut of G (P ).
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Such a complex organization is described in terms of a logical scheme and subsequently reduced to a minimal cut-set representation.
Significance of the biological-function representation in iHSLN was evaluated by means of a hypergeometric test using Benjamini & Hochberg false discovery rate with a P-value < 0.05 as a minimal cut-off.
Using a minimal cut-off of five genes per group, nine gene sets were identified; seven showed higher expression in serum and two showed higher expression in serum-freeB4L (Table 3 and Figure 4).
Let σ(F) denote the split of ℒ (P ) induced by a nice minimal cut F. If is a set of nice minimal cuts of G (P ), Σ (F ) denotes the set of all the non-trivial splits in ⋃ F ∈ F σ (F ).
If F is a minimal separator of LG (P ), then LG (P ) − F ′ is connected for any F′⊂ F. We prove that if F is a legal minimal separator of LG (P ) then F is a nice minimal cut of G (P ).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com