Sentence examples for cycles contained in from inspiring English sources

Then a i = 0 if i is odd; and a i = ∑ H ( − 1 ) c + ( H ) 2 c ( H ) if i is even, where the summation is over all basic oriented graphs ℋ, of G σ, having i vertices, and c + ( H ) and c ( H ) are respectively the number of evenly oriented even cycles and even cycles contained in ℋ.

Then one of the following cases holds: (i) (Pi_{z_{0}^) is an order-1 limit cycle;   (ii) (Pi_{z_{0}^) is an order-2 limit cycle;   (iii) (lim_{trightarrow infty}rho(Pi_{z_{0}^(t -O_{1})=0);   (iv) (lim_{t -O_{arrow infty}rho(Pi_{z_{0}^(t)-O_{2})=0),   where (O_{i}) ((i=1}2)) denote the order-ivlim_{trightarrowtainfty}rhohe interior of horseshoe-like attractor (Omega_{b_{1}}).

Each of the three nested cycles contained in network 1 (genes 3↔4, 3↔7, 3→7→4→3) was resolved correctly.

This summary of cycle length data is, however, affected by the large number of "censored" cycles contained in our sample (41 out of 84).

We describe a new algorithm for the identification of cycles in stoichiometric networks, and we compare its performance to two others by exhaustively identifying the cycles contained in the genome-scale metabolic networks of H. pylori, M. barkeri, E. coli, and S. cerevisiae.

It is said to be a 6-nesting [N 6)−HQS] if the collection of 6-cycles contained in the hexagon quadrangles is a (3ϱ4 -fold 6-cycle system.

For e∈E∖T, denote C T,e) the unique cycle contained in T∪e.

The girth is the length of a shortest cycle contained in the graph.

So, the length of the shortest cycle contained in the graph Γ ( P M ) is 3.

It is known that the girth of a simple graph Γ is the length of the shortest cycle contained in Γ.

It is known that the girth of a simple graph G is the length of the shortest cycle contained in G.