Questions: A tree that is created from a weighted graph and that has the smallest possible weight is called the tree.

Transcript text: A tree that is created from a weighted graph and that has the smallest possible weight is called the $\square$ tree.

Solution

Solution Steps

Step 1: Identify the concept

The question is asking for the name of a tree that is created from a weighted graph and has the smallest possible weight.

Step 2: Recall relevant terminology

In graph theory, a tree that connects all the vertices of a weighted graph with the smallest possible total edge weight is known as a minimum spanning tree.

Step 3: Formulate the answer

The blank in the question should be filled with the term "minimum spanning." Therefore, the complete phrase is:
A tree that is created from a weighted graph and that has the smallest possible weight is called the minimum spanning tree.