The famous Hirsch conjecture was formulated in 1957 in a conversation of Warren Hirsch with George Dantzig, the father of the simplex method. It asserts that given a polytope of dimension d and n facets, its combinatorial diameter is smaller than or equal to n–d, i.e. any two vertices of the polytope can be connected to each other by a path of at most n–d edges. The conjecture is related to the problem of complexity of the simplex method (it gives a lower bound). The conjecture has been open for 53 years and has attracted the interest of many mathematicians in discrete, combinatorial and computational geometry. The simplicity of its statement has also attracted mathematicians in other areas. On 10 May 2010, the entry about the Hirsch Conjec...
AbstractBlending two simple polytopes together at vertices, at edges, or at other supplementary face...
, expressing the simple condition that two adjacent nodes cannot belong to a stable set. We study th...
Abstract. The still open Hirsch conjecture asserts that where (d, n) denotes the maximum edge-diamet...
The Hirsch conjecture was posed in 1957 in a question from Warren M. Hirsch to George Dantzig. It st...
The Hirsch Conjecture states that for a d-dimensional polytope with n facets, the diameter of the gr...
The Hirsch Conjecture states that for a d-dimensional polytope with n facets, the diameter of the gr...
Warren M. Hirsch posed the conjecture which bears his name in a letter of 1957 to George B. Dantzig....
ABSTRACT. Warren M. Hirsch posed the conjecture which bears his name in a letter of 1957 to George B...
Abstract The Hirsch Conjecture (1957) stated that the graph of a d-dimensional polytope with n face...
The Hirsch Conjecture (1957) stated that the graph of a d-dimensional polytope with n facets cannot ...
International audienceThe purpose of this paper is the formal verification of a counterexample of Sa...
AbstractBlending two simple polytopes together at vertices, at edges, or at other supplementary face...
In 1957 W.M. Hirsch conjectured that every d-polytope with n facets has edge-diameter at most n \Gam...
Let ∆(d, n) be the maximum possible edge diameter over all d-dimensional polytopes defined by n ineq...
AbstractIn 1957, W.M. Hirsch conjectured that every (convex) d-polytope with n facets has edge-diame...
AbstractBlending two simple polytopes together at vertices, at edges, or at other supplementary face...
, expressing the simple condition that two adjacent nodes cannot belong to a stable set. We study th...
Abstract. The still open Hirsch conjecture asserts that where (d, n) denotes the maximum edge-diamet...
The Hirsch conjecture was posed in 1957 in a question from Warren M. Hirsch to George Dantzig. It st...
The Hirsch Conjecture states that for a d-dimensional polytope with n facets, the diameter of the gr...
The Hirsch Conjecture states that for a d-dimensional polytope with n facets, the diameter of the gr...
Warren M. Hirsch posed the conjecture which bears his name in a letter of 1957 to George B. Dantzig....
ABSTRACT. Warren M. Hirsch posed the conjecture which bears his name in a letter of 1957 to George B...
Abstract The Hirsch Conjecture (1957) stated that the graph of a d-dimensional polytope with n face...
The Hirsch Conjecture (1957) stated that the graph of a d-dimensional polytope with n facets cannot ...
International audienceThe purpose of this paper is the formal verification of a counterexample of Sa...
AbstractBlending two simple polytopes together at vertices, at edges, or at other supplementary face...
In 1957 W.M. Hirsch conjectured that every d-polytope with n facets has edge-diameter at most n \Gam...
Let ∆(d, n) be the maximum possible edge diameter over all d-dimensional polytopes defined by n ineq...
AbstractIn 1957, W.M. Hirsch conjectured that every (convex) d-polytope with n facets has edge-diame...
AbstractBlending two simple polytopes together at vertices, at edges, or at other supplementary face...
, expressing the simple condition that two adjacent nodes cannot belong to a stable set. We study th...
Abstract. The still open Hirsch conjecture asserts that where (d, n) denotes the maximum edge-diamet...