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...

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...

isomorphism problem: GT48  Treewidth Testing whether a tree may be represented as Euclidean minimum spanning tree Vertex cover: GT1  3-partition problem: SP15 ...

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...

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

j} . The bin packing problem is strongly NP-complete. This can be proven by reducing the strongly NP-complete 3-partition problem to bin packing. Furthermore...

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...

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...

considered the same partition. (If order matters, the sum becomes a composition.) For example, 4 can be partitioned in five distinct ways: 4 3 + 1 2 + 2 2 +...

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...

is a polynomial reduction between the 3-partition problem, which is also NP-complete, and the Tetris problem. Video Games portal 1980s portal 1990s portal...

of the Numerical 3-dimensional matching problem is an instance of both the 3-partition problem, and the 3-dimensional matching problem. Given an instance...

a fully-polynomial time approximation scheme. An example is the 3-partition problem. Both strong NP-hardness and pseudo-polynomial time correspond to...

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 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...

master boot record (MBR) is a type of boot sector in the first block of partitioned computer mass storage devices like fixed disks or removable drives intended...

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

a fully-polynomial time approximation scheme. An example is the 3-partition problem. Both strong NP-hardness and pseudo-polynomial time correspond to...

Unsolved problem in mathematics For even numbers, divide by 2; For odd numbers, multiply by 3 and add 1. With enough repetition, do all positive integers...

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...

there are at most 3*m jobs, and each machine must contain at most 3 jobs (this can be seen as a generalization of 3-partition problem). They show that...

Transition and Finite Size Scaling in the Integer Partition Problem". Random Structures and Algorithms. 19 (3–4): 247–288. doi:10.1002/rsa.10004. S2CID 6819493...

a fully-polynomial time approximation scheme. An example is the 3-partition problem. Both strong NP-hardness and pseudo-polynomial time correspond to...

Opposition to the partition of India was widespread in British India in the 20th century and it continues to remain a talking point in South Asian politics...

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

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...

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...

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...