Sentence examples for a pair of vertices from inspiring English sources

(1) For each vertex in, we place a pair of vertices, and connect them with an edge.

It is also assumed that a pair of vertices cannot be linked by more than one arc.

If the graph is not 3-connected, there exists a pair of vertices whose removal disconnects the graph.

A survivable path between a pair of vertices in G is a pair of edge-disjoint paths consisting of a working path and a redundant protection path.

The routing cost for a pair of vertices on a given spanning tree is defined as the length of the path between them multiplied by their routing requirement.

Given an undirected graph with nonnegative edge lengths and nonnegative vertex weights, the routing requirement of a pair of vertices is assumed to be the product of their weights.

Complete bipartite graph: Given a graph G=(V E) which consists of a set V of vertices and a set E of edges which connect a pairs of vertices, if the set V is divided into two disjoint and nonempty sets, X and Y, i.e., V=X∪Y, every edge in E joins one vertex in X to another vertex in Y, and no edge connects two vertices of the same set, we call G a complete bipartite graph.

Any tree T has either a vertex or a pair of adjacent vertices removal of which leaves no component with at least |V(T |/2 vertices [35], where the former is called the centroid and the latter is called the bicentroid.

A fundamental measure used in graph theory is the shortest path between a pair of connected vertices.

A pair of distinct vertices u,v of G(M) with the same color is called a monochromatic pair.

Constraints (1d -(1e) force variables z ij s to be one if in the optimal solution to the problem there exist a pair of adjacent vertices i j ∈  V having a different value at the s-th coordinate.