Sentence examples for vertex p from inspiring English sources

A star at a vertex p (in an ≤n-complex K ) is the ≤n-complex s t K ( p ) = { S ̄ : p ∈ S ∈ K } ; the vertex p is also called a center of a star.

(M_{p}) represents the product of degrees of all vertices of G which are adjacent to the vertex p, i.e., (M_{p}=prod_{pqin E_{G}}d_{q}).

The condition (f(p) le f q)) (resp. (f(p) < f q))) is expressed by an edge with mark (resp. from vertex (p) to vertex (q).

Similarly, to obtain a measurement of the value Δp of a vertex p, the areas of the faces containg p are averaged.

For a simplex S = { p 0, …, p n } ∈ K ≤ n we denote its boundary by ∂ S : = { { p 0, …, p ^ i, …, p n } : i ∈ I n } ⊂ K ≤ n, where p ^ i means that the vertex p i is omitted.

To begin with, oriented points are initially computed for each point on the mesh according to location of the vertex p and its surface normal n, which results in a 2D basis (p,n).

Instead, we can use an approach to the vertex p-centres problem [15] to determine the representative of the top-k anchors.

As a by-product of this research, we also report for the first time the optimal solution of the vertex p-centre problem for these TSP-Lib data sets.

Let G be a tree with a diametrical path P. If (ABC(G) - r (G)) is minimum among trees, then there is at most one vertex outside P in G. Suppose to the contrary that there are at least two vertices outside P in G. Assume that (P = v_{0} v_{1} cdots v_{d}).

Let (p=e_1ldots e_n) be a special path and (r(e_n)notin {s(e_1),ldots,s(e_n)}.) Then (nle |V|.) If (n>|V|) then some vertex on p appears at least twice and this vertex is not (r(e_n).) Hence, a subpath (p_1) of p is a cycle.

By Lemma 5, there is at most one vertex outside P in G.