Sentence examples for be a regular graph from inspiring English sources

Let G= V,E) be a regular graph of valency d.

Let G be a regular graph of degree r with n vertices.

Let G be a regular graph of degree r ((r>1)) having n vertices.

From Lemma 2.6, it follows directly that if G be a regular graph of degree r with n vertices, then frac{nr}{sqrt{r+1}}leqmathit{LEL}(G)leqsqrt{ n-2+sqrt { n-2) (nr-r-1)}, (5) with both equalities if and only if (Gcong K_{n}).

An n-dimensional Bijective Connection graph (in brief BC graph) is a regular graph with 2n nodes and n2n−1 edges.

The equality holds if and only if X is a regular graph.

Moreover, the equality holds in (14) if and only if G is a regular graph.

And the equality holds if and only if G is a regular graph or a bipartite semi-regular graph.

And the equality holds in (15) for regular graphs if and only if G is a regular graph.

Moreover, the equality holds in (3) if and only if both G 1 and G 2 are regular graphs, that is, G 1 ∨ G 2 is a regular graph and the equality holds in (4) if and only if both G 1 and G 2 are regular graphs, that is, G 1 ∨ G 2 is a regular graph.

If ({mathbb {G}}(A)) is a regular graph of finite degree, then ({mathbb {G}}(A)) is a complete graph.