Order of Graph/Examples/Arbitrary Order 4

Example of Order of Graph

Let $G = \struct {V, E}$ be the graph defined as:

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

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

Then the order of $G$ is the cardinality of $V$:

$\card V = 4$

Sources

• 1977: Gary Chartrand: Introductory Graph Theory ... (previous) ... (next): Chapter $1$: Mathematical Models: $\S 1.3$: Graphs