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.
In combinatorics and computer science, coveringproblems are computational problems that ask whether a certain combinatorial structure 'covers' another...
Museum guard problemCoveringproblems in graphs may refer to various set cover problems on subsets of vertices/subgraphs. Dominating set problem is the special...
cover problem can be formulated as the following integer linear program (ILP). This ILP belongs to the more general class of ILPs for coveringproblems. The...
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...
The disk coveringproblem asks for the smallest real number r ( n ) {\displaystyle r(n)} such that n {\displaystyle n} disks of radius r ( n ) {\displaystyle...
The coveringproblem of Rado is an unsolved problem in geometry concerning covering planar sets by squares. It was formulated in 1928 by Tibor Radó and...
In the bin coveringproblem, items of different sizes must be packed into a finite number of bins or containers, each of which must contain at least a...
of these problems can be related to real-life packaging, storage and transportation issues. Each packing problem has a dual coveringproblem, which asks...
Many mathematical problems have been stated but not yet solved. These problems come from many areas of mathematics, such as theoretical physics, computer...
cover problem is the problem of finding an edge cover of minimum size. It is an optimization problem that belongs to the class of coveringproblems and...
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...
In topology, a covering or covering projection is a map between topological spaces that, intuitively, locally acts like a projection of multiple copies...
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...
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...
their surroundings. Other domains, where this problem is applied, are in image editing, lighting problems of a stage or installation of infrastructures...
algorithms for other types of optimization problems work by solving linear programming problems as sub-problems. Historically, ideas from linear programming...
monotone dualization is a computational problem of constructing the dual of a monotone Boolean function. Equivalent problems can also be formulated as constructing...
biomedical engineer who has worked on DNA sequencing theory, covering and matching problems in probability, theoretical fluid mechanics, and co-wrote Phred...
modulus on a covering system. Unsolved problem in mathematics: Does there exist a covering system with odd distinct moduli? (more unsolved problems in mathematics)...
important paper examining the coveringproblem from the standpoint of gaps. Although they focused on the so-called mapping problem, the abstraction to sequencing...
However, sphere packing problems can be generalised to consider unequal spheres, spaces of other dimensions (where the problem becomes circle packing in...
topics such as Littlewood problems on polynomials, probability and geometry of polynomials, arithmetic Ramsey theory, Erdős covering systems, random matrices...
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...
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...