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The phrase "a weighted spanning tree" is correct and usable in written English.
It can be used in contexts related to graph theory, computer science, or network design, where you are discussing trees that have weights assigned to their edges.
Example: "In our analysis, we found that a weighted spanning tree minimizes the total cost of connecting all nodes in the network."
Alternatives: "a cost-effective spanning tree" or "a prioritized spanning tree".
Exact(1)
The original code used a weighted spanning tree to compute the membership in linearithmic time.
Similar(59)
By developing a maximum weighted spanning tree, TAN achieves a globally optimal trade-off between the complexity and learnability of the model.
The learning method has been able to process five thousands genes and the network simplification through the maximum weighted spanning tree provided a graphical display of the huge network.
From a purely graph-theoretic point of view, the problem is simply finding a minimum-weight spanning tree through a graph with weighted edges, where domain-specific information is used to compute the weights.
Definition 3. Shortest path tree [35]: a shortest path tree of a connected weighted graph is a spanning tree of, consisting of a root node, that the distance between and all other vertices in is minimal.
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.
The weight of a spanning tree is the sum of the weights of all the edges that make up the spanning tree.
In our work, Prim's algorithm is utilized to find the optimal layout, which is a greedy algorithm that finds a minimum spanning tree for a connected weighted undirected graph.
However, finding a spanning tree with a minimal Wiener index from a weighted graph is a non-deterministic polynomial-time hardness (NP-hard) problem.
In this paper we present a cycle detection based greedy algorithm, to obtain a minimal spanning tree of a given input weighted undirected graph.
Any possible layout predicted according to present nodes corresponds a spanning tree of the weighted complete undirected graph BLG.
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