of itself? More unsolved problems in mathematics In combinatorial geometry, the Hadwiger conjecture states that any convex body in n-dimensional Euclidean...

given graph and the size of its largest clique minor Hadwiger conjecture (combinatorial geometry) that for any n-dimensional convex body, at most 2n smaller...

Discrete geometry and combinatorial geometry are branches of geometry that study combinatorial properties and constructive methods of discrete geometric...

always at least as large as the chromatic number. The Hadwiger conjecture in combinatorial geometry concerns the minimum number of smaller copies of a convex...

the Hadwiger conjecture, which states that the Hadwiger number is always at least as large as the chromatic number of G. The graphs that have Hadwiger number...

Boltjansky, V.; Gohberg, I. (1985). "11. Hadwiger's Conjecture". Results and Problems in Combinatorial Geometry. Cambridge University Press. pp. 44–46....

9)^{n}{\text{Vol}}(\mathbb {B} ^{n})} . Hadwiger's conjecture on covering convex fields with smaller copies of themselves Kahn–Kalai conjecture As Hinrichs and Richter...

points in the plane with time complexity O(n log n) Hadwiger conjecture (combinatorial geometry) - any convex body in n-dimensional Euclidean space can...

Computational Geometry. 8 (4): 363–372. doi:10.1007/bf02293053. Robertson, Neil; Seymour, Paul; Thomas, Robin (1993). "Hadwiger's conjecture for K_6-free...

number? More unsolved problems in mathematics In combinatorial mathematics, the Albertson conjecture is an unproven relationship between the crossing...

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

geometric means. In a stricter sense, geometric graph theory studies combinatorial and geometric properties of geometric graphs, meaning graphs drawn in...

conjecture Total coloring conjecture, also called Behzad's conjecture (unsolved) List coloring conjecture (unsolved) Hadwiger conjecture (graph theory) (unsolved)...

several other aspects of graph minor theory: linkless embedding, Hadwiger's conjecture, YΔY-reducible graphs, and relations between treewidth and graph...

question about the chromatic number would be resolved by a proof of Hadwiger's conjecture that any k-chromatic graph has as a minor a k-vertex complete graph...

theorem (geometry) Finsler–Hadwiger theorem (geometry) Five circles theorem (circles) Gauss–Wantzel theorem (geometry) Geometric mean theorem (geometry) Hinge...

Sect. 20.7) (for a simpler proof see Baebler (1957)) is clarified in Hadwiger (1957, Sect. 5.2.5) as follows. An extremal set consists of a ball and...

the Hadwiger transversal theorem to higher dimensions. He and Pollack were the founding editors of the journal Discrete & Computational Geometry. Goodman...

convex bodies, Discrete and Computational Geometry 56/3 (2016), 802–813. A proof of the Boltyanski–Hadwiger Conjecture (1960) for wide intersections of congruent...

theory, geometric graph theory, graph colouring, graph drawing, and combinatorial geometry. Wood received a Ph.D. in computer science from Monash University...