Sentence examples for a nice minimal from inspiring English sources

Gives it a nice minimal look, I think.

Hence, F is a nice minimal cut of G (P ).

Since F is a nice minimal cut, F contains edges from either T u or T v but not both.

Then, F is a legal minimal separator of LG (P ) if and only if F is a nice minimal cut of G (P ).

We use the following notation: if H is a subgraph of G (P ), then ℒ (H ) represents the set of all leaves of H Let F be a nice minimal cut of G (P ) and let G1 and G2 be the two connected components of G (P ) − F.

Now, by definition, f is the only edge of T in Ψ e), so, by Lemma 7, each of the two connected components of G (P ) − Ψ (e ) has at least one non-internal edge of T. Hence, F is a nice minimal cut of G (P ).

2. There exists a complete set of pairwise parallel nice minimal cuts for G (P ).

Then, is a complete set of pairwise parallel nice minimal cuts.

It follows that F ′ is a complete set of pairwise parallel nice minimal cuts of G (P ).

We now prove that is a complete set of pairwise parallel nice minimal cuts of G (P ).

By Theorem 5 and Lemma 9, profile is compatible if and only if there exists a complete set of pairwise parallel nice minimal cuts for G (P ).