Related Concepts
An order-theoretic analog to the intersection graphs are the containment orders. In the same way that an intersection representation of a graph labels every vertex with a set so that vertices are adjacent if and only if their sets have nonempty intersection, so a containment representation f of a poset labels every element with a set so that for any x and y in the poset, x ≤ y if and only if f(x) ⊆ f(y).
Read more about this topic: Intersection Graph
Famous quotes containing the words related and/or concepts:
“The content of a thought depends on its external relations; on the way that the thought is related to the world, not on the way that it is related to other thoughts.”
—Jerry Alan Fodor (b. 1935)
“Once one is caught up into the material world not one person in ten thousand finds the time to form literary taste, to examine the validity of philosophic concepts for himself, or to form what, for lack of a better phrase, I might call the wise and tragic sense of life.”
—F. Scott Fitzgerald (1896–1940)