Question

$K_4\text{and}{Q}_3$ are graphs with the following structures:

Which one of the following statements is TRUE in relation to these graphs?

• A. $K_4\text{is planar while}{Q}_3\text{is not}$
• B. $\text{Both}{K}_4\text{and}{Q}_3\text{are planar}$
• C. $Q_3\text{is planar while}{K}_3\text{is not}$
• D. $\text{Neither}{K}_4\text{nor}{Q}_3\text{is planar}$

Answer 1

The correct option is B $\text{Both}{K}_4\text{and}{Q}_3\text{are planar}$

The planar embedding of $K_4\text{and}{Q}_3$ is shown below:


So both graphs are planar.