Sentence examples for be a path with from inspiring English sources

If all vertices in a walk are distinct, then such a walk is called a path of G, denoted by P. Let P = v 1 v 2 ⋯ v k be a path with k ≥ 3. Then P together with the edge v k v 1 is called a cycle of G, denoted by C. Let G σ ∈ D ( G ) and S ( G σ ) be its skew-adjacency matrix.

Let P k be a path with vertex set V={v1,…2,v,v k } and edge set E={v1v2,…2v3,vk−1v1v k } and let Q k be a split graph with vertex set V={v1,…2,v,v k }, where A={v2i−1∈V|1≤2i−1≤k} is a stable set, B={v2i∈V|2≤2i≤k} is a clique and the edges connecting each vertex of B to the vertices of A are {v2iv2i−1 and v2iv2j+1,j>i} (see Fig. 1).

Consider the property (on red blue colored graphs) to be a path with at least half of the nodes being red.

In the woods next to the steeper slope, there's a path with a small tow rope, so those climbing up the hill for a ride are less likely to be mowed down by oncoming sled traffic.

To its right is a path with broken stone steps that lead down into one of my favorite places in Paris, a tiny stage-set called Jardin de la Vallée Suisse.

We consider the vertex cover Pn (VCPn) problem, that is, the problem of finding a minimum weight set F⊂V such that the graph G[V−F] has no Pn, where Pn is a path with n vertices.

We introduce the notion of resolution-exact algorithms in motion planning: such an algorithm has an "accuracy" constant K>1, and takes an arbitrary input "resolution" parameter ε>0 such that: if there is a path with clearance Kε, it will output a path with clearance ε/K; if there are no paths with clearance ε/K, it reports "NO PATH".

Let P n be a graph that is a path with n vertices.

Recalling that (mleq gamma_{k}=3), we have (m=3), which implies that (T_{k+1}) is a path with end vertices (v_{k+1}) and (u_{3}).

The routing table includes destinations for which there is a path with total link cost at most equal to a threshold value C T, which we term the Local Routing Threshold.

"Because there's a path with that.