Sentence examples for vertex of edge from inspiring English sources

This is a c× r matrix, where c denotes the number of vertices, r denotes the number of edges and the (α, j -th element is equal to -1 if vertex α is the tail vertex of edge j -th 1 if velement is thequald vertox of edge j, while 0 otherwise.

Also, since the edges are undirected, we conveniently adopt a convention to represent the edges: the ID of the upstream vertex of an edge (u, v) is always less than the ID of the downstream vertex of the edge (i.e., (u < v)).

Validity: If the initial input vertices span an edge, then each robot must decide a vertex of that edge.

Agreement: The collection of decided vertices belong to a single edge of G. Validity: If the input vertices are equal, then each process must decide this vertex; if the input vertices span an edge, then each process must decide a vertex of that edge.

The area is then found by traversing all edges of the polygon and by adding the area of the rectangle (enclosed between the top vertex of the edge and the Y axis) to the left of the edge when traversing downward and subtracting the area of the rectangle when traversing upward.

Define the distal vertex of an edge to be the vertex farthest from the root that touches that edge.

Each message depends only on the variable whose associated variable node is a vertex of the edge over which the message is passed along.

(G_{m,n}) is a graph of order n with m edges which has (m-n+1) triangles with a common edge and (2n-m-3) pendent edges incident with one end vertex of the common edge.

For (m(G +3 leq2n(G)), Guan et al. [11] showed that (S_{2}(G_{m,n})=m(G_{m,n})+3), where (G_{m,n}) is a graph of order n size m which has (m-n+1) triangles with a common edge and (2n-m-3) pendent edges incident with one end vertex of the common edge ((G_{n+1,n}) is illustrated in Figure 1).

They also conjectured that among all connected graphs of order n with m ((n leq mleq2n -3)) edges, (G_{m,n}) is the unique graph which has maximal value of (S_{2}(G)), where (G_{m,n}) is a graph of order n with m edges which has (m-n+1) triangles with a common edge and (2n-m-3) pendent edges incident with one end vertex of the common edge.

When (2n(G) geq m(G +3), Guan et al. [1] showed that (S_{2}(G_{m,n})=m(G_{m,n})+3), where (G_{m,n}) is a graph with n vertices and m edges which has (m-n+1) triangles with a common edge and (2n-m-3) pendant edges incident with one end vertex of the common edge (illustrated in Figure 1 are (G_{n,n}) and (G_{n+1,n})).