The phrase "a maximum spanning tree" is correct and usable in written English.
It can be used in contexts related to graph theory, specifically when discussing a spanning tree that maximizes the total edge weight in a weighted graph.
Example: "In our analysis, we found that a maximum spanning tree provides the most efficient connections between the nodes."
Alternatives: "a maximum spanning subgraph" or "a maximum weight spanning tree".
If (mathcal {T}) denotes the set of all spanning trees of G, a maximum spanning tree (T_{max}left (V,E^{prime prime }_{max}right)) of G is a spanning tree if and only if: mathop{{forall}}_{T (V,E^{primeprime}) in mathcal{T}} sum_{(v,z) in E^{primeprime}_{max}} omega v,z) geq sum_{(v,z) in E^{primeprime}} omega v,z), where ω v,z) is the weight value assigned to the edge from a vertex v to z.
Then, an algorithm, termed MST-Expansion, is proposed to extract the match graph from the TCN, where the TCN is first simplified by a maximum spanning tree (MST).
Our first data gathering algorithm is stability-oriented and it is based on the idea of finding a maximum spanning tree on a network graph whose edge weights are predicted link expiration times (LETs).
The JT is a maximum spanning tree of the cluster graph, with weights given by the cardinality of the intersections between cliques.
A maximum spanning tree can be constructed in time O |E ′|l o g|V|) using the classic Prim Jarník's algorithm [28].
To guarantee a single analysis of each mode while following the most probable paths, a maximum spanning tree can be constructed.
Friedel and Zimmer [ 20] presented a method for identifying direct interactions by calculating the union of all maximum spanning trees (MST) of a given co-complex network.
Our algorithm calculates the union of all maximum spanning trees (MSTs) from the interaction scores for each complex.
Our algorithm calculates the union of all maximum spanning trees from scoring networks for each protein complex to extract relevant interactions.
In the encoding step, in a manner reminiscent of phylogenetic tree approximations, Coil uses the Maximum Spanning Tree in the similarity graph as its encoding tree.
In the process of generators clustering, (O(V_{G} E_{G} )) is the complexity of maximum spanning tree algorithm, (O(E_{G} )) is the operation complexity at a merge point, and (Oleft( {V_{G} E_{G}^{2} } right)) is the complexity of generator clustering algorithm.
