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...

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...

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

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...

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

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

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...

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

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...

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...

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...

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...

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...

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...

{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...

The Partitions of Poland were three partitions of the Polish–Lithuanian Commonwealth that took place toward the end of the 18th century and ended the existence...

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

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

The first Partition of Bengal (1905) was a territorial reorganization of the Bengal Presidency implemented by the authorities of the British Raj. The...

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...

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...

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

The partition type (or partition ID) in a partition's entry in the partition table inside a master boot record (MBR) is a byte value intended to specify...

The GUID Partition Table (GPT) is a standard for the layout of partition tables of a physical computer storage device, such as a hard disk drive or solid-state...

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...

prtpy package. Greedy number partitioning - generalizations and extensions of LPT for the problem of multiway number partitioning. Proof. Normalize the input...

yielding piles of 13 cards each. If there is a remainder in solving a partition problem, the parts will end up with unequal sizes. For example, if 52 cards...

solve the Lomuto partition scheme problem (sometimes called the Dutch national flag problem), an alternative linear-time partition routine can be used...

Unsolved problem in computer science: If the solution to a problem is easy to check for correctness, must the problem be easy to solve? (more unsolved...