Sentence examples for root vertex from inspiring English sources

A rooted tree is binary if the root vertex has degree two, and every other internal (non-leaf) vertex has degree three.

Also given are a capacity constraint k, and root vertex r∈V.

We call ( I, 0 ) the root vertex and denote it by v root.

Then there exists a unique path in G R from the root vertex v root to any given vertex.

In Fault-Tolerant Group-Steiner problems, we are given a graph with edge- (or vertex-) costs, a root vertex, and a collection of subsets of vertices called groups.

Upon iterating the IFS once, the root vertex generates the following vertices: v 1 = ( S 1, 1 ), v 2 = ( S 2, 1 ), …, v n = ( S n, 1 ), ….

In a rooted multi-tree T, the parent vertex of a non-root vertex v is denoted by p v) and the depth of a vertex v is denoted by depth v), where the depth of a vertex is its distance to the root.

Let x be a non-root vertex x in T. Denote by left(x) the immediate left sibling of a non-root vertex x (if any).

Here p and p' are parent maps telling the parent of every non-root vertex.

Given a set V ∈ P, a non-root vertex v of tree G j is called good (with respect to V) if (4) cl v ⊆ V, cl v ' ⊈ V where v' is the parent vertex of v.

A tree T is rooted at vertex i, called the root if i is not a terminal vertex of any arcs, and each of the remaining vertices is a terminal vertex of exactly one arc.