Sentence examples for exist in the graph from inspiring English sources

Since packet multiplicity is not a concern in graph theory, algorithms that find (mathcal {S}_{m}) do not exist in the graph theory literature.

No other arcs exist in the graph.

The selected edges are removed from the graph and the edges (g k, g m ) and (g l, g n ) are added, as long as the newly added edges do not exist in the graph.

In this context, a biclique (A, B) is a subgraph consisting of two disjoint sets of nodes (A, B⊆ V, A∩ B=ϕ), where all edges between these two sets exist in the graph (A× B⊆ E).

As cycles are obvious topological invariants of a network and easy to seek, our strategy consists of two steps: first, search for all cycles that exist in the graph; second, determine the feedbacks through a selection procedure, which depends on the polarity of the network.

The above scheme includes the original CSC/CSR representation as a special case, that is, if no clique (and thus no pseudo vertex) exists in the graph.

Theorem 1 The diameter of the graph Γ ( P M ) is 3. Proof By Figure 1, it is clearly seen that the vertex x k (if l ≠ 1 then it exists in the graph) of Γ ( P M ) is pendant and so the diameter can be figured out by considering the distance d Γ ( P M ) ( x k, y ), where y is one of the other vertices.

Due to the nature of dominance, while the graph contains the edges of the tree, new edges now are in the tree that represent dominance only; these new nodes do not actually exist in the original graph.

No negative loops will exist in the auxiliary graph, since if a path traverses the negative weight link (say ((v^{uy},v_y)),) it will also traverse the links in the form of ((u_v,v^{uy})) and ((v_y,y_y)), whose total cost is always positive.

The true contig path of the first gap, "60+:85+", did not exist in the contig graph.

In these two cases, OMACC made mistakes simply because the correct path did not exist in the contig graph.