Sentence examples for a geometric spanning tree from inspiring English sources

We design an optimal algorithm for constructing a geometric spanning tree of all the red points and a geometric spanning tree of all the blue points with the minimum number of crossing points.

If collinear points are allowed, we prove that the problem of deciding whether there exists a geometric spanning path of all the red points and a geometric spanning path of all the blue points without crossing is NP-complete.

As a result we obtain a spanning tree of K ≤ n.

A spanning tree (or a forest of spanning trees) can be computed for any graph.

A spanning tree is a tree which connects all vertices in the network.

The algorithm creates and progressively merges sub-trees of a graph in building a minimum cost spanning tree.

We describe a linear-time algorithm for verifying a minimum spanning tree.

There are many possibilities of connecting nodes, called the spanning tree, but a minimum spanning tree (MST) has the least sum of weights for all connecting edges among all spanning trees.

Definition 2. Minimum spanning tree [35]: given a connected weighted graph, a minimum spanning tree covers all the vertices (contains edges) of that has minimal total edge weight.

We created a random spanning tree for a network model by using random walk approach [24].

A polynomial approximation algorithm was presented by constructing a minimum spanning tree [25].