Wolfgang Haken information

Wolfgang Haken (German: [ˈvɔlfɡaŋ ˈhaːkn̩]; June 21, 1928 – October 2, 2022) was a German American mathematician who specialized in topology, in particular...

virtually Haken. This conjecture was proven by Ian Agol. Haken manifolds were introduced by Wolfgang Haken (1961). Haken (1962) proved that Haken manifolds...

contract in Japan Haken manifold, a type of 3-manifold named after Wolfgang Haken Eduard Haken (1910–1996), Czech operatic bass Hermann Haken (born 1927),...

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

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...

is a cousin of the mathematician Wolfgang Haken, who proved the Four color theorem. He is a nephew of Werner Haken, a doctoral student of Max Planck...

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

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

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 by showing...

ingredient of the eventual computer-aided proof by Kenneth Appel and Wolfgang Haken. Between 1967 and 1971, Heesch made several visits to the United States...

biomechanics and tensegrity. Blostein is the daughter of mathematician Wolfgang Haken, and while she was in high school and college she helped check her father's...

needed] Notable historical conjectures were finally proven. In 1976, Wolfgang Haken and Kenneth Appel proved the four color theorem, controversial at the...

cooperation with Haken also yielded philosophical results in a complexity-science formulation of intentionality Starting in 2008, Wolfgang Tschacher joined...

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

geometric invariant theory Haboush's theorem 1976 Kenneth Appel and Wolfgang Haken Four color theorem graph colouring Traditionally called a "theorem"...

chaos theory Kenneth Ira Appel (Ph.D.), mathematician; in 1976, with Wolfgang Haken, solved one of the most famous problems in mathematics, the four-color...

knots. Algorithms exist to solve this problem, with the first given by Wolfgang Haken in the late 1960s (Hass 1998). Nonetheless, these algorithms can be...

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

Heegaard splittings were studied extensively by mathematicians such as Wolfgang Haken and Friedhelm Waldhausen in the 1960s, it was not until a few decades...

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

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

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

golfer. Pietro Fabris, 87, Italian politician, senator (1987–1996). Wolfgang Haken, 94, German-American mathematician. Chris Harris, 89, English-born American...

and diplomat, United States Ambassador to Seychelles (d. 1996) 1928 – Wolfgang Haken, German-American mathematician and academic (d. 2022) 1928 – Fiorella...

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

Augustus De Morgan. Two mathematicians at the University of Illinois, Wolfgang Haken and Kenneth Appel, announced in Champaign, Illinois that they had used...

modern proofs, such as the first successful one by Kenneth Appel and Wolfgang Haken. Furthermore, the method is used in the proof of the five-colour theorem...