Feedback Vertex Set - Bounds

Bounds

According to the Erdős–Pósa theorem, the size of a minimum feedback vertex set is within a logarithmic factor of the maximum number of vertex-disjoint cycles in the given graph.

Read more about this topic:  Feedback Vertex Set

Famous quotes containing the word bounds:

    Nature seems at each man’s birth to have marked out the bounds of his virtues and vices, and to have determined how good or how wicked that man shall be capable of being.
    François, Duc De La Rochefoucauld (1613–1680)

    Prohibition will work great injury to the cause of temperance. It is a species of intemperance within itself, for it goes beyond the bounds of reason in that it attempts to control a man’s appetite by legislation, and makes a crime out of things that are not crimes. A Prohibition law strikes a blow at the very principles upon which our government was founded.
    Abraham Lincoln (1809–1865)

    What comes over a man, is it soul or mind
    That to no limits and bounds he can stay confined?
    You would say his ambition was to extend the reach
    Clear to the Arctic of every living kind.
    Why is his nature forever so hard to teach
    That though there is no fixed line between wrong and right,
    There are roughly zones whose laws must be obeyed?
    Robert Frost (1874–1963)