Sentence examples for second minimal from inspiring English sources

In this section, the n-vertex unicyclic graphs are determined with the minimal and the second minimal AZI indices.

Obviously, (C_{4}) is the unique graph with the second minimal AZI index, which is equal to 32.

In this paper, the n-vertex unicyclic graphs are determined with the minimal and the second minimal AZI indices.

We initially concentrate on a simple Hamiltonian for implementing the second minimal control model presented in Section 3.2.

(ii) For (n=5), (Q_{5}(1,1,0)) is the unique graph with the second minimal AZI index, which is equal to (frac{2text185}{64}).  .

For (n=5), (Q_{5}(1,1,0)) is the unique graph with the second minimal AZI index, which is equal to (frac{2text185}{64}).

Thus, it follows that (Q_{5}(1,1,0)) for (n=5) is the unique graph with the second minimal AZI index, which is equal to (frac{2text185}{64}), and (C_{n,n-4}) for (ngeq6) is the unique graph with the second minimal AZI index, which is equal to ((n-4) (frac{n-2}{n+1} )^{3}+32).

In this paper, the n-vertex unicyclic graphs with the minimal and the second minimal AZI indices and the n-vertex bicyclic graphs with the minimal AZI index are determined.

By Lemma 3.2 and Lemma 3.3, the second minimal AZI index of graphs in U n with (ngeq4) is achieved by the graphs in U n, n − 3 ∖ { C n, n − 3 } and (C_{n,n-4}).

Hence, this L a j gives v 0 = H and v 1 = R H R which we have shown to be a universal set for S U ( 2 ) when θ = π / 4 and so this form for L a j is appropriate for implementing the second minimal control model.

By paring down their original synthetic genome even further, to four hundred and seventy-three, the researchers were able to produce what the Venter Institute's Web site calls the world's "first minimal synthetic bacterial cell".