Simple Graph/Examples/Arbitrary Order 5

Example of Simple Graph
Let $G = \struct {V, E}$ be a simple graph such that:


 * $V = \set {v_1, v_2, v_3, v_4, v_5}$


 * $E = \set {v_1 v_2, v_1 v_4, v_1 v_5, v_2 v_3, v_3 v_5, v_4 v_5}$

Then $G$ can be presented in diagram form as:


 * Chartrand-exercise-1-3-15.png

The underlying relation $\RR$ on $V$ which defines the edge set of $G$ is:
 * $\RR = \set {\tuple {v_1, v_2}, \tuple {v_2, v_1}, \tuple {v_1, v_4}, \tuple {v_4, v_1}, \tuple {v_1, v_5}, \tuple {v_5, v_1}, \tuple {v_2, v_3}, \tuple {v_3, v_2}, \tuple {v_3, v_5}, \tuple {v_5, v_3}, \tuple {v_4, v_5}, \tuple {v_5, v_4} }$