Kenneth Ira Appel (October 8, 1932 – April 19, 2013) was an American mathematician who in 1976, with colleague Wolfgang Haken at the University of Illinois...

authors of Rog-O-Matic. Andrew Appel is the son of mathematician Kenneth Appel, who proved the Four-Color Theorem in 1976. Appel graduated summa cum laude...

proven by Kenneth Appel and Wolfgang Haken. This came after many false proofs and mistaken counterexamples in the preceding decades. The Appel–Haken proof...

color theorem, first stated in 1852, but not proved until 1976 (by Kenneth Appel and Wolfgang Haken, using substantial computer assistance). In logic...

validity. The term was coined by Thomas Tymoczko in 1979 in criticism of Kenneth Appel and Wolfgang Haken's computer-assisted proof of the four color theorem...

Appel (born 1958), Dutch documentary filmmaker Karel Appel (1921–2006), Dutch painter Kenneth Appel (1932–2013), American mathematician Kevin Appel (born...

problem using computers. A computer-aided proof produced in 1976 by Kenneth Appel and Wolfgang Haken makes fundamental use of the notion of "discharging"...

ultimately proven in 1976 by Kenneth Appel and Wolfgang Haken. It was the first major theorem to be proved using a computer. Appel and Haken's approach started...

lecturer at the University of New Hampshire, where he was hired by Kenneth Appel in 1999. Prior to getting back to academia, he worked for several years...

be a fundamental ingredient of the eventual computer-aided proof by Kenneth Appel and Wolfgang Haken. Between 1967 and 1971, Heesch made several visits...

historical conjectures were finally proven. In 1976, Wolfgang Haken and Kenneth Appel proved the four color theorem, controversial at the time for the use...

 ed.). Reading, Mass. [u.a.]: Addison-Wesley. ISBN 978-0-201-55406-9. Kenneth Appel; Wolfgang Haken (26 July 1976). "Every Planar Map is Four-Colorable"...

Zariski. The journal published the proof of the four color theorem by Kenneth Appel and Wolfgang Haken, which featured a then-unusual[citation needed] tabulation...

professor in 1965, retiring in 1998. In 1976, together with colleague Kenneth Appel at the University of Illinois at Urbana-Champaign, Haken solved the...

a prestigious mental hospital, under the care of psychiatrist Dr. Kenneth Appel. One month later, he was given permission to leave the institute to...

case of the sphere is the four-color conjecture, which was settled by Kenneth Appel and Wolfgang Haken in 1976. Béla Bollobás, Graph Theory: An Introductory...

Mumford conjecture geometric invariant theory Haboush's theorem 1976 Kenneth Appel and Wolfgang Haken Four color theorem graph colouring Traditionally...

to four, until the four color theorem was finally proved in 1976 by Kenneth Appel and Wolfgang Haken. The proof went back to the ideas of Heawood and...

Mandelbrot publishes Les objets fractals, forme, hasard et dimension. 1976 – Kenneth Appel and Wolfgang Haken use a computer to prove the Four color theorem. 1981 –...

Jewish Americans. Abraham Adrian Albert (1905-1972), abstract algebra Kenneth Appel (1932-2013), four-color problem [unreliable source?] Lipman Bers (1914-1993)...

Peter H. Appel (born 1964) was the administrator of the Research and Innovative Technology Administration (RITA). From 2009 to 2011 Appel was the Obama...

success of valid modern proofs, such as the first successful one by Kenneth Appel and Wolfgang Haken. Furthermore, the method is used in the proof of...

from) the standard axioms of set theory. In 1976, Wolfgang Haken and Kenneth Appel used a computer to prove the four color theorem. Andrew Wiles, building...

/ Tom Stow (California) 1927 Wilmer Allison (Texas) John Van Ryn / Kenneth Appel (Princeton) 1928 Julius Seligson (Lehigh) Ralph McElvenny / Alan Herrington...

Stratford California 1926 Edward Chandler, Tom Stow California 1927 Kenneth Appel, John Van Ryn Princeton 1928 Alan Herrington, Ralph McElvenny Stanford...

Richard M. Karp for classifying many important NP-complete problems. Kenneth Appel and Wolfgang Haken for the four color theorem. Paul Seymour for generalizing...

notable people who were born or have lived in Dover, New Hampshire. Kenneth Appel (1932–2013), mathematician; solved the four-color theorem Jeremy Belknap...

extra-large type are torsion-free and have solvable conjugacy problem (Kenneth Appel and Paul Schupp). Artin–Tits groups of extra-large type are biautomatic...

scientist and translator Aldo Andreotti (1924–1980), mathematician Kenneth Appel (1932–2013), proved four-color theorem Zvi Arad (1942–2018), mathematician...

Two mathematicians at the University of Illinois, Wolfgang Haken and Kenneth Appel, announced in Champaign, Illinois that they had used a computer analysis...