WEBGraph. A graph with three vertices and three edges. In one restricted but very common sense of the term, [1][2] a graph is an ordered pair comprising: V {\displaystyle V} , a set of vertices (also called nodes or points); E ⊆ { { x , y } ∣ x , y ∈ V and x ≠ y } {\displaystyle E\subseteq \ {\ {x,y\}\mid x,y\in V\; {\textrm {and}}\;x\neq y\}}