Sentence examples for if there exists a connected from inspiring English sources

We say that two vertices are weakly connected if there exists a connected path between two vertices when all directed edges are replaced with undirected edges.

Two genes will have high topological overlap if there exists a connection between them and if they are connected to the same group of genes.

A graph (V, E) is called a tree if there exists a vertex (v_0 in V) such that an arbitrary vertex in V can be connected to (v_o) by a unique path.

there exist constants such that, if, there exists an element with.

A configuration is called accepted by M if there exists a computation connecting that configuration with (s_{mathrm {acc}}) (that computation is called accepting).

Two GOBP terms would be connected if there existed a link between this pair of vertices in the complete graph of GOBP.

The vertices x and y are called nearest neighbors and they are denoted by l = < x, y > if there exists an edge connecting them.

Then the sequence ({ (d^(v_{1}), d^(v_{1})), ldots, (d^(v_{n}), d^(v_{n}))}) is called the degree sequence of D. For any given sequence of pairs of integers (mathbf{d}={(d_{1}^, d_{1}^), ldots, (d_{n}^, d_{n}^), if there exists a k-arc strongly connected digraph D such that d is the degree sequence of D, then d is realizable and D is a realization of d.

A graph G is said to be connected if there exists a path in G between each two vertices of G, and weakly connected if the graph G ˜ is connected.

For any pair of proteins F and G, if there exists a path in the graph connecting them, they belong to the same protein family.

A topology is defined to be strongly connected if there exists a communication path between each ordered pair of sensor nodes.