Reachability - DAGs and Partial Orders

DAGs and Partial Orders

The reachability relation of a directed acyclic graph is a partial order; any partial order may be defined in this way, for instance as the reachability relation of its transitive reduction. If a directed graph is not acyclic, its reachability relation will be a preorder but not a partial order.

Read more about this topic:  Reachability

Famous quotes containing the words partial and/or orders:

    The one-eyed man will be King in the country of the blind only if he arrives there in full possession of his partial faculties—that is, providing he is perfectly aware of the precise nature of sight and does not confuse it with second sight ... nor with madness.
    Angela Carter (1940–1992)

    There is nothing on earth more exquisite than a bonny book, with well-placed columns of rich black writing in beautiful borders, and illuminated pictures cunningly inset. But nowadays, instead of looking at books, people read them. A book might as well be one of those orders for bacon and bran.
    George Bernard Shaw (1856–1950)