Cunningham's Rule constructions because they tend to average out how many times a variable pivots. It has recently been shown by David Avis and Oliver Friedmann that there is a family of linear programs on which the simplex algorithm equipped with Cunningham's rule requires exponential time. Cunningham's Rule In mathematical optimization, Cunningham's rule (also known as least recently considered rule or round-robin rule) is an algorithmic refinement of the simplex method for linear optimization. The rule was proposed 1979 by W.H. Cunningham to defeat the deformed hypercube constructions by Klee and Minty et. al. (see, e.g. Klee–Minty cube). Cunningham's rule assigns a
Rule of law the Study of the Law of the Constitution" (1885); these two pillars are the rule of law and parliamentary sovereignty. All government officers of the United States, including the President, the Justices of the Supreme Court, state judges and legislators, and all members of Congress, pledge first and foremost to uphold the Constitution. These oaths affirm that the rule of law is superior to the rule of any human leader. At the same time, the federal government has considerable discretion: the legislative branch is free to decide what statutes it will write, as long as it stays within its enumerated