Respuesta :
There is only one minimal spanning tree (MST) for a graph if every edge weight in the graph is distinct. This claim is untrue.
In a graph with the same weight, are all edges unique?
It is sufficient to define the MST as the subgraph with the lowest total weight that connects all the vertices if the edge weights are all positive. There are several edge weights. The smallest spanning tree might not be unique if edges are allowed to have identical weights.
A minimal spanning tree (MST) is what, exactly?
A subset of edges in a connected weighted undirected graph that joins all the vertices with the least amount of edge weight is known as a Minimum Spanning Tree (MST).
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If all of the edge weights in a graph are distinct, then there is only one minimum spanning tree (MST) for that graph. This assertion is false.
Are all edges in a graph with the same weight unique?
If the edge weights are all positive, it is sufficient to define the MST as the subgraph that connects all of the vertices and has the lowest total weight. Different edge weights exist. If edges can have the same weights, the smallest spanning tree might not be unique.
What exactly is a minimal spanning tree (MST)?
A Minimum Spanning Tree is a subset of edges in a connected weighted undirected graph that connects all the vertices with the least amount of edge weight (MST).
To learn more about MST visit:
https://brainly.com/question/29656442
#SPJ4