science, the partition problem, or number partitioning, is the task of deciding whether a given multiset S of positive integers can be partitioned into two...

In number theory and combinatorics, a partition of a non-negative integer n, also called an integer partition, is a way of writing n as a sum of positive...

The 3-partition problem is a strongly NP-complete problem in computer science. The problem is to decide whether a given multiset of integers can be partitioned...

of graph partitioning are minimum cut and maximum cut problems. Typically, graph partition problems fall under the category of NP-hard problems. Solutions...

approximation is not always exact. A related problem is the partition problem, a variant of the knapsack problem from operations research. Some weights are...

polygon. A polygon partition problem is a problem of finding a partition which is minimal in some sense, for example a partition with a smallest number...

of vertices in weighted directed graphs. The k-path partition problem is the problem of partitioning a given graph to a smallest collection of vertex-disjoint...

partition function Partition of an interval Partition of a set Ordered partition Partition refinement Disjoint-set data structure Partition problem 3-partition...

G, so a partition of the vertices of G is a clique cover of G if and only if it is a coloring of the complement of G. The clique cover problem in computational...

In computer science, multiway number partitioning is the problem of partitioning a multiset of numbers into a fixed number of subsets, such that the sums...

each set. The input to the problem is a set of n items of different sizes, and two integers m, k. The output is a partition of the items into m subsets...

The Partitions of Poland were three partitions of the Polish–Lithuanian Commonwealth that took place between 1772 and 1795, toward the end of the 18th...

This special case of SSP is known as the partition problem. SSP can also be regarded as an optimization problem: find a subset whose sum is at most T, and...

{NP}}} . This can be proven by a reduction from the partition problem: given an instance of Partition where the sum of all input numbers is 2 T {\displaystyle...

NP-complete. Partition into cliques is the same problem as coloring the complement of the given graph. A related problem is to find a partition that is optimal...

theoretical computer science, like maximum cut, graph coloring and the partition problem, embeddings into QUBO have been formulated. Embeddings for machine...

the decision problem was one of Karp's 21 NP-complete problems; Karp showed the NP-completeness by a reduction from the partition problem. The canonical...

Logical partition, a subset of a computer's resources, virtualized as a separate computer Binary space partitioning, in computer science Partition problem, in...

differencing method is an algorithm for solving the partition problem and the multiway number partitioning. It is also called the Karmarkar–Karp algorithm...

partitioning problems, where the cuts are constrained to be guillotine cuts. A related but different problem is guillotine cutting. In that problem,...

The partition of India in 1947 was the division of British India into two independent dominion states, the Union of India and Dominion of Pakistan. The...

Matroid partitioning is a problem arising in the mathematical study of matroids and in the design and analysis of algorithms. Its goal is to partition the...

In graph theory, a domatic partition of a graph G = ( V , E ) {\displaystyle G=(V,E)} is a partition of V {\displaystyle V} into disjoint sets V 1 {\displaystyle...

probability theory, for the Boltzmann distribution. The partition function occurs in many problems of probability theory because, in situations where there...

The Partition of Bengal in 1905, also known as the First Partition of Bengal, was a territorial reorganization of the Bengal Presidency implemented by...

is the partition problem. Both weak NP-hardness and weak polynomial-time correspond to encoding the input integers in binary coding. If a problem is strongly...

The United Nations Partition Plan for Palestine was a proposal by the United Nations to partition Mandatory Palestine at the end of the British Mandate...

Matroid-constrained number partitioning is a variant of the multiway number partitioning problem, in which the subsets in the partition should be independent...

In graph theory, a skew partition of a graph is a partition of its vertices into two subsets, such that the induced subgraph formed by one of the two...

optimal one. The algorithm starts by translating the problem to the polygon partitioning problem. To each vertex V of the polygon is associated a weight...