In mathematics, Property B is a certain set theoretic property. Formally, given a finite set X, a collection C of subsets of X, all of size n, has Property B if we can partition X into two disjoint subsets Y and Z such that every set in C meets both Y and Z. The smallest number of sets in a collection of sets of size n such that C does not have Property B is denoted by m(n).
The property gets its name from mathematician Felix Bernstein, who first introduced the property in 1908.
Read more about Property B: Values of m(n), Asymptotics of m(n)
Famous quotes related to property b:
“Oh, had I received the education I desired, had I been bred to the profession of the law, I might have been a useful member of society, and instead of myself and my property being taken care of, I might have been a protector of the helpless, a pleader for the poor and unfortunate.”
—Sarah M. Grimke (1792–1873)