Sentence examples for graphs with two from inspiring English sources

Now we consider the Halin graphs with two interior vertices.

They are bipartite graphs with two types of nodes, places and transitions, connected by directed arcs.

We provide a complete characterization of circulant graphs with two chord lengths that admit an efficient dominating set.

An interpretation of the result in terms of Schrödinger operators acting on star graphs and graphs with two vertices is also given.

Then, for all connected graphs with two or more vertices, the matrix L + 1 n J is non-singular with the inverse X = ∥ x i j ∥ = ( L + 1 n J ) − 1.

In particular, we use (H(t_{1},t_{2})) and (H(t_{1},to{2},t_{3},t_{4})) to denote the Halin graphs with two interior vertices and three interior vertices, respectively (see Figure 1).

For Halin graphs with three interior vertices.

Next, we consider the Halin graphs with three interior vertices.

We derive some structural and spectral properties of regular bipartite graphs with three distinct non-negative eigenvalues.

In case of the V-type graphs with five massive propagators, new types of nested sums and iterated integrals emerge.

This approach involves both an analysis using graphs with four regions with a confidence interval (CI) of 95% and an analysis using a graph with three regions with only the predicted values; the latter type of graph represents an innovation made in this study.