Sentence examples for between every two vertices from inspiring English sources
A k-clique is a subgraph induced by k vertices in which an edge exists between every two vertices.
As a matter of fact, the rigidity of a closed triangle enforces the fact that the sum of the depth differences between every two vertices concatenated around the triangle, be zero.
Hence, testing isomorphism of two multi-graphs is to find labels for these "unlabeled graphs" such that the two labeled graphs completely match each other including the adjacency between every two vertices.
The betweeness of vertex v is the proportion of shortest paths between every two vertices in the network that pass through v (see [32] for a review).
Edges exist between every two vertices that could ever appear together in any match, and are labeled with the corresponding RPD for that pair of vertices.
Another random graph model designed to model PPIs where edges are drawn between every two vertices according to their degree (Pržulj and Higham, 2006) was also tested with similar results (Supplementary Material); future work will include assessing the fit to other models, such as ER mixture models (Daudin et al., 2008).
Korea Family Planning Network (KFP; (lambda ) (_{mathrm{sp}} = 1.69)) [25]: this is a network of 39 women (vertices) at a Mothers Clubb in Korea; there existed an edge between two vertices if the corresponding women were seen discussing family planning methods during an observation period.
A graph is regarded as connected if there is a path between any two distinct vertices.
A tree T is said to be isomorphic to a subtree T′ in a network G if there is a bijection between the vertices of T and the vertices of T′ such that for every edge between two vertices a and b of T there is an edge between the vertices a′ and b′ in T′ that correspond to a and b, respectively.
The correctness of algorithm GraphConvergenceTree follows from the following lemma showing that every round roughly halves the distance between any two vertices, hence implying that the algorithm satisfies the agreement property.
