The phrase "a minimum cost tree" is correct and usable in written English.
It can be used in contexts related to computer science, graph theory, or optimization problems where you are discussing a tree structure that has the least cost associated with its edges.
Example: "In our analysis, we found that the minimum cost tree effectively connects all nodes with the least total weight."
Alternatives: "least expensive tree" or "minimum spanning tree".
The generalized minimum spanning tree problem consists of designing a minimum cost tree spanning several clusters.
Given a graph whose vertex set is partitioned into clusters, the GMSTP consists of designing a minimum cost tree spanning all clusters.
We show that when ∑u∈Vbu+="∑v∈Vbu-, designing a minimum cost tree network is easy and the cost of an optimal tree reservation is within a factor of three of the cost of any reservation.
One possible model for this is by means of a Steiner tree, which is a minimum cost tree that connects all nodes belonging to a predefined subset called terminals, which in the case of metabolism would be the discriminating compounds (Dittrich et al., 2008; Scott et al., 2005).
The Steiner tree-star problem is the following: Given a graph with disjoint sets of possible facility nodes and customers, we want to find a minimum cost tree such that each customer is assigned to a facility and that all open facilities are connected by a Steiner tree.
The design of a DDS network is a special case of the classic Steiner-tree problem of finding the minimum cost tree connecting a set of nodes, using Steiner nodes.
The nodes that immediately follow the root node in the minimum cost tree constitute the minimum neighborhood of node.
The minimum cost tree over all such subsets and all possible values of k is returned as the optimal tree.
This secure communication path, from the original group manager to the target group manager, can be obtained by computing a minimum cost multicast tree, commonly known as the Steiner tree.
The capacitated minimum spanning tree (CMST) problem is to find a minimum cost spanning tree in a network where nodes have specified demands, with an additional capacity constraints on the subtrees incident to a given source node s.
The algorithm creates and progressively merges sub-trees of a graph in building a minimum cost spanning tree.
