Textbook Problem

A spanning tree for a graph G is .

To determine

To fill in the blank of the statement “a spanning tree for the graph $G$ is____”.

Answer to Problem 1TY

A spanning tree for a graph $G$ isa subgraph of $G$ such that reformed as a tree containing all the vertices of the graph.

Explanation of Solution

Given information:

The statement is given as “A spanning tree for a graph $G$ is _____.”

In a normal graph we can observe circuits. But in some occasions, we have to face some difficulties with these circuits.

Hence, we form a subgraph/ a tree of the graph $G$ including all the vertices and missing the circuits without disconnecting the graph. These trees are called as spanning trees.