Sentence examples for closed walk from inspiring English sources

A cycle is a closed walk.

Obviously, for an even closed walk (that is to say, u k + 1 = u 1 ), we can simply refer to it as a positive (or negative) even closed walk according to its sign, regardless of the order of its vertices.

Proof Firstly, we will prove that each even closed walk of G is oriented uniformly in G σ too.

This method can be used to obtain the optimal Eulerian circuit (a closed walk that covers every edge once).

end{aligned} (3)A closed walk is a walk on a graph where the ending vertex is same as the seed vertex.

In particular, if the vertices v 0, v 1, v 2, …, v k (except the possible v 0 and v k ) are pairwise distinct, then W is well known as a path, and if v 0 = v k then W is called a closed walk.

Minutes after the second plane hit the World Trade Center, hospitals in Manhattan activated their disaster plans: They canceled elective surgery, discharged stable patients and closed walk-in clinics, emptying their beds to await the thousands of expected casualties.

The cycle-radius of H is similarly defined except that cycles are replaced by directed closed walks.

Now we turn to the number of closed walks.

In general, counting the closed walks in a graph (of large order) is not an easy work.

One can see that different closed walks are mapped to different walks by f, which yields C W k ( G, v ) ≤ W k − 1 ( G, v ).