Sentence examples for of a complete graph from inspiring English sources

Fig. 1 Decomposition of a complete graph.

Fig. 1 Decomposition of a complete graph In addition, the chordal ring network is introduced.

For the nearest nodes, k i (k i  − 1)/2 edges can be acquired under the condition of a complete graph.

To simplify matters, in Appendix B we will calculate the higher-order correlation for a generic n in the case of a complete graph (i.e. a fully connected network).

Recall the definition of the corona product, the graph G ( p ) ≅ G ∘ K p ¯, where K p ¯ denotes the complement of a complete graph K p. Therefore, for a connected graph G of order n, we have the following.

Another way of assessing if a network is scale-free consists in evaluating the distribution of local clustering coefficients, i.e. the number of edges connecting the neighbours of each vertex v, divided by the number of edges of a complete graph of the same cardinality of the neighbourhood of v [33].

Hence G 2 is isomorphic to a complete graph of order | G 2 |.

Moreover, both sides of the equality hold in (8) if and only if G 2 is isomorphic to a complete graph of order | G 2 |.

The Lefschetz number of T is 1. (8) For a complete graph G = K n + 1, any permutation is a graph automorphism.

We consider the problem of decomposing a complete graph into the Cartesian product of two complete graphs Kr and Kc.

Then a G-decomposition of Kv, a complete graph on v vertices, is a pair Σ="(X,B), where X is the vertex set of Kv and B is a partition of the edge set of Kv into graphs all isomorphic to G. The elements of B are called blocks and Σ is said to be a G-design of order v.