In graph theory, the Hadwiger number of an undirected graph G is the size of the largest complete graph that can be obtained by contracting edges of G...

Hugo Hadwiger (23 December 1908 in Karlsruhe, Germany – 29 October 1981 in Bern, Switzerland) was a Swiss mathematician, known for his work in geometry...

theory, the Hadwiger conjecture states that if G {\displaystyle G} is loopless and has no K t {\displaystyle K_{t}} minor then its chromatic number satisfies...

known as the Hadwiger conjecture or Hadwiger's conjecture. They include: Hadwiger conjecture (graph theory), a relationship between the number of colors...

on properties that it shares with a different graph parameter, the Hadwiger number. Later it was again rediscovered by Neil Robertson and Paul Seymour (1984)...

H-minor-free if it does not have a minor isomorphic to H. Hadwiger 1.  Hugo Hadwiger 2.  The Hadwiger number of a graph is the order of the largest complete minor...

theorem. Hadwiger's conjecture, still unproven, relates the size of the largest clique minor in a graph (its Hadwiger number) to its chromatic number. The...

geometric graph theory, the Hadwiger–Nelson problem, named after Hugo Hadwiger and Edward Nelson, asks for the minimum number of colors required to color...

have H as a minor may be formed by gluing together simpler pieces, and Hadwiger's conjecture relating the inability to color a graph to the existence of...

must also have a complete graph Kh as a minor. In other words, the Hadwiger number of an n-vertex graph with a haven of order k is at least k2/3n-1/3...

formulation in terms of the number of floodlights needed to illuminate the body. The Hadwiger conjecture is named after Hugo Hadwiger, who included it on a...

forbidden induced tree The Hadwiger conjecture relating coloring to clique minors The Hadwiger–Nelson problem on the chromatic number of unit distance graphs...

problems concerning the chromatic number of graphs include the Hadwiger conjecture stating that every graph with chromatic number k has a complete graph on k...

It may be member of a series of graph parameters, see Treewidth § Hadwiger number and S-functions In physics, it may refer to: action functional In MATLAB...

snark in modern terminology) must be non-planar. In 1943, Hugo Hadwiger formulated the Hadwiger conjecture, a far-reaching generalization of the four-color...

Max Gunzburger Yuri Gurevich Dan Gusfield Gregory Gutin Ruth Haas Hugo Hadwiger Jaroslav Hájek Mohammad Hajiaghayi György Hajós S. L. Hakimi Heini Halberstam...

Stefan Poiss and Markus Hadwiger. Poiss is responsible for the sound, vocals and production of their music while Poiss and Hadwiger collaborate on developing...

measured in full circles, is the Euler characteristic of the polyhedron. Hadwiger's theorem characterizes the Euler characteristic as the unique (up to scalar...

Dirac, G. A. (1957), "A theorem of R. L. Brooks and a conjecture of H. Hadwiger", Proceedings of the London Mathematical Society, 7 (1): 161–195, doi:10...

in terms of the Lobachevsky function, or in terms of dilogarithms. Hugo Hadwiger conjectured in 1956 that every simplex can be dissected into finitely many...

partially ordered sets to infinite ones, and reducing the Hadwiger–Nelson problem on the chromatic number of the plane to a problem about finite graphs. It may...

Phones in NYC Will Be Ripped Out," Gothamist (Feb. 28, 2020) online Don F. Hadwiger, and Clay Cochran, "Rural telephones in the United States." Agricultural...

history of development of these areas, concentrating in particular on the Hadwiger–Nelson problem and on the biography of Bartel Leendert van der Waerden...

f(cx)\neq cf(x)} are known as Cauchy-Hamel functions and are used in Dehn-Hadwiger invariants which are used in the extension of Hilbert's third problem from...

2151 Hadwiger, provisional designation 1977 VX, is a Marian asteroid from the central region of the asteroid belt, approximately 15 kilometers in diameter...

volume of the ( n − j ) {\displaystyle (n-j)} -dimensional unit ball. Hadwiger's theorem asserts that every valuation on convex bodies in R n {\displaystyle...

geometry of numbers by Minkowski, and map colourings by Tait, Heawood, and Hadwiger. László Fejes Tóth, H.S.M. Coxeter, and Paul Erdős laid the foundations...

causes. As an amateur mathematician, he has contributed to the study of the Hadwiger–Nelson problem in geometric graph theory, making the first progress on...

study and the generalization of this problem by Tait, Heawood, Ramsey and Hadwiger led to the study of the colorings of the graphs embedded on surfaces with...

formed from the utility graph K3,3 by subdividing one of its edges. The Hadwiger–Nelson problem asks how many colors are needed to color the points of the...