B.S. – Queens College, CUNY Ph.D. – University of Michigan
Known for
Proving the Four-color theorem with Wolfgang Haken
Children
Andrew Appel[1]
Peter H. Appel[1]
Awards
Fulkerson Prize [1979]
Scientific career
Fields
Graph theory, combinatorics, topology
Institutions
University of Illinois at Urbana–Champaign, University of New Hampshire
Doctoral advisor
Roger Lyndon
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 at Urbana–Champaign, solved one of the most famous problems in mathematics, the four-color theorem. They proved that any two-dimensional map, with certain limitations, can be filled in with four colors without any adjacent "countries" sharing the same color.
^ ab"In Memoriam: Kenneth Appel". math.illinois.edu. Archived from the original on 2021-12-01. Retrieved 2020-09-07.
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 KennethAppel, who proved the Four-Color Theorem in 1976. Appel graduated summa cum laude...
proven by KennethAppel 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 KennethAppel and Wolfgang Haken, using substantial computer assistance). In logic...
problem using computers. A computer-aided proof produced in 1976 by KennethAppel and Wolfgang Haken makes fundamental use of the notion of "discharging"...
ultimately proven in 1976 by KennethAppel 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 KennethAppel in 1999. Prior to getting back to academia, he worked for several years...
ed.). Reading, Mass. [u.a.]: Addison-Wesley. ISBN 978-0-201-55406-9. KennethAppel; Wolfgang Haken (26 July 1976). "Every Planar Map is Four-Colorable"...
historical conjectures were finally proven. In 1976, Wolfgang Haken and KennethAppel proved the four color theorem, controversial at the time for the use...
be a fundamental ingredient of the eventual computer-aided proof by KennethAppel and Wolfgang Haken. Between 1967 and 1971, Heesch made several visits...
Mumford conjecture geometric invariant theory Haboush's theorem 1976 KennethAppel and Wolfgang Haken Four color theorem graph colouring Traditionally...
Jewish Americans. Abraham Adrian Albert (1905-1972), abstract algebra KennethAppel (1932-2013), four-color problem [unreliable source?] Lipman Bers (1914-1993)...
to four, until the four color theorem was finally proved in 1976 by KennethAppel and Wolfgang Haken. The proof went back to the ideas of Heawood and...
professor in 1965, retiring in 1998. In 1976, together with colleague KennethAppel at the University of Illinois at Urbana-Champaign, Haken solved the...
case of the sphere is the four-color conjecture, which was settled by KennethAppel and Wolfgang Haken in 1976. Béla Bollobás, Graph Theory: An Introductory...
from) the standard axioms of set theory. In 1976, Wolfgang Haken and KennethAppel used a computer to prove the four color theorem. Andrew Wiles, building...
Richard M. Karp for classifying many important NP-complete problems. KennethAppel and Wolfgang Haken for the four color theorem. Paul Seymour for generalizing...
Mandelbrot publishes Les objets fractals, forme, hasard et dimension. 1976 – KennethAppel and Wolfgang Haken use a computer to prove the Four color theorem. 1981 –...
winner of the 1965 Nobel Prize in Physiology or Medicine (born 1920). KennethAppel, American mathematician (born 1932). 21 April – Shakuntala Devi, Indian...
success of valid modern proofs, such as the first successful one by KennethAppel and Wolfgang Haken. Furthermore, the method is used in the proof of...
five color theorem. The four-color theorem was eventually proved by KennethAppel and Wolfgang Haken in 1976. Schröder–Bernstein theorem. In 1896 Schröder...
Two mathematicians at the University of Illinois, Wolfgang Haken and KennethAppel, announced in Champaign, Illinois that they had used a computer analysis...
development of dynamical systems theory; a consultant on chaos theory Kenneth Ira Appel (Ph.D.), mathematician; in 1976, with Wolfgang Haken, solved one of...