Sentence examples for contains a cycle from inspiring English sources

A graph is hamiltonian if it contains a cycle which goes through all vertices exactly once.

A bipartite graph G is bipancyclic if it contains a cycle of every even length from 4 to |V(G)| inclusive.

A few blocks away is Chiesa di San Maurizio al Monastero Maggiore, a church attached to a former Benedictine convent (now an archaeological museum) that contains a cycle of glorious 16th-century frescoes.

In this paper, we prove that if D is a pairwise balanced design, PBD v,K,λ), with arbitrary index λ⩾1 and maxK⩽λminK, then GD contains a cycle of each length ℓ= 3,4,…,|V(GD |.

In this paper, we prove that if D is a balanced incomplete block design, BIBD v,k,λ), with arbitrary index λ, then GD contains a cycle of each length ℓ=3,4,…,|V(GD |.

So assume that A has exactly two maximal ideals and ({mathbb {G}}(A)) contains a cycle C.

Graphs containing a cycle are said to be cyclic or acyclic if no cycle is present.

We know that a positive periodic graph does not contain a cycle.

Although the proportion of structures containing a cycle is high only 59.3% of the heavy atoms and 57.3% of bonds were cyclic.

By Lemmas 2.2 and 2.3 or the papers [10, 11], for a given graph G containing a cycle (C_{m}), we know that the skew-spectral radius of (G^{sigma}) is independent of its orientation if m is odd.

Because the length of P is minimal, then l(f i (P)) = l fi+1(P)), i ≥ 0. Without loss of generality, we may assume that f i (P) ∩ fi+k(P) = ∅ for k > 1, i ∈ N. Otherwise K ∞ would contain a cycle and because it generates a retractable complex, so it would have the fixed simplex property by Theorem 2.1.