Formal Definition
Formally, an intersection graph is an undirected graph formed from a family of sets
- Si, i = 0, 1, 2, ...
by creating one vertex vi for each set Si, and connecting two vertices vi and vj by an edge whenever the corresponding two sets have a nonempty intersection, that is,
- E(G) = {{vi, vj} | Si ∩ Sj ≠ ∅}.
Read more about this topic: Intersection Graph
Famous quotes containing the words formal and/or definition:
“Then the justice,
In fair round belly with good capon lined,
With eyes severe and beard of formal cut,
Full of wise saws and modern instances;
And so he plays his part.”
—William Shakespeare (15641616)
“No man, not even a doctor, ever gives any other definition of what a nurse should be than thisdevoted and obedient. This definition would do just as well for a porter. It might even do for a horse. It would not do for a policeman.”
—Florence Nightingale (18201910)