Sentence examples for multiple edges and from inspiring English sources

Here and hereafter we assume G is simple, that is, G has no multiple edges and no self-loops.

Throughout this paper, all graphs are simple with no loops and multiple edges and A is a commutative ring with non-zero identity.

Given an undirected graph G, possibly with multiple edges, and distinct vertices s and t of G, the authors consider several orientations D of G.

Multiple edges and self-loops are excluded.

It was concluded that the average increase in acoustic screening of 2 m high T-shaped, multiple edge and double barriers compared with a simple plane reflecting barrier of identical overall height ranged from 1·4 to 3·6dB(A) depending on detailed design.

A variety of shapes have been tested including T-shapes, multiple-edges and various cylindrical configurations.

It is known that, for an -graph (i.e., an undirected graph with no loops and multiple edges), the numbers of vertices and edges of are denoted by and, respectively.

The key property of such a descriptor is that it must be a monotonically increasing function of the factors which contribute to the complexity of a network, e.g., number of vertices and edges, vertex degrees (branching [3]), multiple edges, cycles, loops, and labels [3].

A molecular tree can be represented as a rooted ordered tree T (V, E) with a set V of vertices and a set E of single and multiple edges, where each vertex corresponds to an atom, and each edge corresponds to a covalent bond.

It is worth pointing out that the PG employs a multigraph because each bar is treated as an edge, and multiple edges can join a pair of vertices to facilitate exact integer counting.

The multiplicity (the number of multiple edges) between two vertices u and v is denoted by m u,v).