Global Information Lookup Global Information

Covering problems information


In combinatorics and computer science, covering problems are computational problems that ask whether a certain combinatorial structure 'covers' another, or how large the structure has to be to do that. Covering problems are minimization problems and usually integer linear programs, whose dual problems are called packing problems.

The most prominent examples of 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 cover problem.

Covering problems allow the covering primitives to overlap; the process of covering something with non-overlapping primitives is called decomposition.

and 25 Related for: Covering problems information

Request time (Page generated in 0.8259 seconds.)

Covering problems

Last Update:

In combinatorics and computer science, covering problems are computational problems that ask whether a certain combinatorial structure 'covers' another...

Word Count : 869

Graph theory

Last Update:

Museum guard problem Covering problems in graphs may refer to various set cover problems on subsets of vertices/subgraphs. Dominating set problem is the special...

Word Count : 6403

Vertex cover

Last Update:

cover problem can be formulated as the following integer linear program (ILP). This ILP belongs to the more general class of ILPs for covering problems. The...

Word Count : 2542

Set cover problem

Last Update:

fewest sets. The decision version of set covering is NP-complete. It is one of Karp's 21 NP-complete problems shown to be NP-complete in 1972. The optimization/search...

Word Count : 2605

Disk covering problem

Last Update:

The disk covering problem asks for the smallest real number r ( n ) {\displaystyle r(n)} such that n {\displaystyle n} disks of radius r ( n ) {\displaystyle...

Word Count : 240

Covering problem of Rado

Last Update:

The covering problem of Rado is an unsolved problem in geometry concerning covering planar sets by squares. It was formulated in 1928 by Tibor Radó and...

Word Count : 745

Bin covering problem

Last Update:

In the bin covering problem, items of different sizes must be packed into a finite number of bins or containers, each of which must contain at least a...

Word Count : 2684

Polygon covering

Last Update:

many different polygon covering problems, depending on the type of polygon being covered. An example polygon covering problem is: given a rectilinear...

Word Count : 2247

Packing problems

Last Update:

of these problems can be related to real-life packaging, storage and transportation issues. Each packing problem has a dual covering problem, which asks...

Word Count : 2676

List of unsolved problems in mathematics

Last Update:

Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...

Word Count : 19532

Edge cover

Last Update:

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...

Word Count : 627

Bin packing problem

Last Update:

on non-trivial problems with 100 items, and outperforms the BCP (branch-and-cut-and-price) algorithm by Belov and Scheithauer on problems that have fewer...

Word Count : 6986

Covering space

Last Update:

In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies...

Word Count : 6872

Covering code

Last Update:

In coding theory, a covering code is a set of elements (called codewords) in a space, with the property that every element of the space is within a fixed...

Word Count : 663

Bipartite dimension

Last Update:

subgraphs), needed to cover all edges in E. A collection of bicliques covering all edges in G is called a biclique edge cover, or sometimes biclique cover...

Word Count : 1731

Art gallery problem

Last Update:

their surroundings. Other domains, where this problem is applied, are in image editing, lighting problems of a stage or installation of infrastructures...

Word Count : 2530

Linear programming

Last Update:

algorithms for other types of optimization problems work by solving linear programming problems as sub-problems. Historically, ideas from linear programming...

Word Count : 6577

Monotone dualization

Last Update:

monotone dualization is a computational problem of constructing the dual of a monotone Boolean function. Equivalent problems can also be formulated as constructing...

Word Count : 3359

Michael Christopher Wendl

Last Update:

biomedical engineer who has worked on DNA sequencing theory, covering and matching problems in probability, theoretical fluid mechanics, and co-wrote Phred...

Word Count : 1148

Covering system

Last Update:

modulus on a covering system. Unsolved problem in mathematics: Does there exist a covering system with odd distinct moduli? (more unsolved problems in mathematics)...

Word Count : 1198

DNA sequencing theory

Last Update:

important paper examining the covering problem from the standpoint of gaps. Although they focused on the so-called mapping problem, the abstraction to sequencing...

Word Count : 2875

Sphere packing

Last Update:

However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in...

Word Count : 3414

Julian Sahasrabudhe

Last Update:

topics such as Littlewood problems on polynomials, probability and geometry of polynomials, arithmetic Ramsey theory, Erdős covering systems, random matrices...

Word Count : 1264

Steiner tree problem

Last Update:

the Steiner tree problem, or minimum Steiner tree problem, named after Jakob Steiner, is an umbrella term for a class of problems in combinatorial optimization...

Word Count : 4351

Covering of the eyes

Last Update:

The phrase "covering of eyes" is found in Genesis 20:16. It is translated literally in Young's Literal Translation. The King James Version inserts the...

Word Count : 723

PDF Search Engine © AllGlobal.net