The set cover problem is a classical question in combinatorics, computer science, operations research, and complexity theory. Given a set of elements...

The geometric set cover problem is the special case of the set cover problem in geometric settings. The input is a range space Σ = ( X , R ) {\displaystyle...

the graph. In computer science, the problem of finding a minimum vertex cover is a classical optimization problem. It is NP-hard, so it cannot be solved...

between the two problems. This proved the dominating set problem to be NP-complete as well. The set cover problem is a well-known NP-hard problem – the decision...

cover problem is the problem of finding an edge cover of minimum size. It is an optimization problem that belongs to the class of covering problems and...

covering problems are the set cover problem, which is equivalent to the hitting set problem, and its special cases, the vertex cover problem and the edge...

relation between a set of choices and a set of constraints. For example, an exact cover problem is equivalent to an exact hitting set problem, an incidence...

In mathematics, and more particularly in set theory, a cover (or covering) of a set X {\displaystyle X} is a family of subsets of X {\displaystyle X} whose...

and then reducing the problem to a set cover problem. As Valtr (1998) showed, the set system derived from an art gallery problem has bounded VC dimension...

Set packing is a classical NP-complete problem in computational complexity theory and combinatorics, and was one of Karp's 21 NP-complete problems. Suppose...

case of set cover problem where sets are the closed neighborhoods. Vertex cover problem is the special case of set cover problem where sets to cover are every...

. The optimization problem of finding such a set is called the maximum independent set problem. It is a strongly NP-hard problem. As such, it is unlikely...

finite set of objects, where the set of feasible solutions is discrete or can be reduced to a discrete set. Typical combinatorial optimization problems are...

program. Consider the set cover problem, the linear programming relaxation of which was first considered by Lovász in 1975. In this problem, one is given as...

1 / e − o ( 1 ) {\displaystyle 1-1/e-o(1)} . Set cover problem is to cover all elements with as few sets as possible. G. L. Nemhauser, L. A. Wolsey and...

While Steiner tree problems may be formulated in a number of settings, they all require an optimal interconnect for a given set of objects and a predefined...

approximation algorithm for the set cover problem. Fix any instance ⟨ c , S ⟩ {\displaystyle \langle c,{\mathcal {S}}\rangle } of set cover over a universe U {\displaystyle...

set problem, and the matching problem are packing LPs. The LP relaxations of the set cover problem, the vertex cover problem, and the dominating set problem...

Borsuk's problem on upper and lower bounds for the number of smaller-diameter subsets needed to cover a bounded n-dimensional set. The covering problem of Rado:...

or are already sorted, and greedy approximation algorithms for the set cover problem. The quantized version of the structure has also been applied to scheduling...

algorithm for hitting set that runs in time d OPTnO(1). The hitting set problem is equivalent to the set cover problem: An instance of set cover can be viewed...

cover number. The problem of computing the intersection number has been called the intersection number problem, the intersection graph basis problem,...

clique cover problem in computational complexity theory is the algorithmic problem of finding a minimum clique cover, or (rephrased as a decision problem) finding...

n-dimensional "at every scale". Carathéodory's extension theorem Geometric set cover problem Dimension theory Metacompact space Point-finite collection Lebesgue...

professional certification program by Sun Microsystems Set cover problem, a classical problem in computer science and complexity theory Save Cursor Position...

the minimum vertex cover. Via this result, the minimum vertex cover, maximum independent set, and maximum vertex biclique problems may be solved in polynomial...

are required to completely cover every region of the container, where objects are allowed to overlap. In a bin packing problem, people are given: A container...

NP-complete problems do not have quasi-polynomial time algorithms. For example, see the known inapproximability results for the set cover problem. The term...

NP-complete by reducing it to a set cover problem. In his dissertation, he proved that the greedy method for set cover has a lower bound of 1 - 1/e ~ 63%...

vertex cover problem, could be transformed ("reduced") into equivalent inputs to the feedback arc set decision problem. Some NP-complete problems can become...