a disjoint-set data structure, also called a union–find data structure or merge–find set, is a data structure that stores a collection of disjoint (non-overlapping)...

set theory in mathematics and formal logic, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are...

b)-tree Link/cut tree SPQR-tree Spaghetti stack Disjoint-set data structure (Union-find data structure) Fusion tree Enfilade Exponential tree Fenwick tree...

The key steps of the algorithm are sorting and the use of a disjoint-set data structure to detect cycles. Its running time is dominated by the time to...

in a set. Some set data structures are designed for static or frozen sets that do not change after they are constructed. Static sets allow only query...

In mathematics, the disjoint union (or discriminated union) A ⊔ B {\displaystyle A\sqcup B} of the sets A and B is the set formed from the elements of...

both being true Disjoint union Disjoint-set data structure This disambiguation page lists articles associated with the title Disjoint. If an internal...

possible operations on data of this type, and the behavior of these operations. This mathematical model contrasts with data structures, which are concrete...

computationally whether a graph is connected (for example, by using a disjoint-set data structure), or to count the number of connected components. A simple algorithm...

science, a tree is a widely used abstract data type that represents a hierarchical tree structure with a set of connected nodes. Each node in the tree...

topological space is a set whose elements are called points, along with an additional structure called a topology, which can be defined as a set of neighbourhoods...

computer science programming idiom Disjoint-set data structure, a data structure used to track disjoint sets Distress signal unit, used by firefighters Dynamic...

In computer science, a linked data structure is a data structure which consists of a set of data records (nodes) linked together and organized by references...

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

{\displaystyle \delta =o(b)} bits). In the disjoint-set data structure, the structure represents a collection of disjoint sets; there is an update operation, called...

efficient implementation using a disjoint-set data structure can perform each union and find operation on two sets in nearly constant amortized time...

appears in the time complexity of some algorithms, such as the disjoint-set data structure and Chazelle's algorithm for minimum spanning trees. Sometimes...

also used as disjoint-set data structures. The structure can be regarded as a set of singly linked lists that share part of their structure, in particular...

Algorithms and Data Structures. U.S. National Institute of Standards and Technology. Retrieved December 16, 2006. The Wikibook Data Structures has a page...

language which is largely programmed and proven correct in Rocq. Disjoint-set data structure: correctness proof in Rocq was published in 2007. Feit–Thompson...

with specified types. The set of all possible values of a sum type is the set-theoretic sum, i.e., the disjoint union, of the sets of all possible values...

about (disjoint) unions or Cartesian products of types. Value space and behaviour A type is a set of values which a variable can possess and a set of functions...

2\}} and { 3 , 4 } {\displaystyle \{3,4\}} are disjoint, while the set of even numbers intersects the set of multiples of 3 at the multiples of 6. Binary...

of data structures used to store relations; common choices include hash tables and B-trees, other possibilities include disjoint set data structures (for...

measurable and with the perfect set property). AD can be used to prove that the Wadge degrees have an elegant structure. Paul Cohen invented the method...

components of any graph partition its vertices into disjoint sets, and are the induced subgraphs of those sets. A graph that is itself connected has exactly...

set n.children. For this offline algorithm, the set P must be specified in advance. It uses the MakeSet, Find, and Union functions of a disjoint-set data...

to the union-find data structure, which also maintains a partition into disjoint sets but in which the operations merge pairs of sets. In some applications...

one tree remains. By using a Heap (data structure) to implement the priority queue and a disjoint-set data structure to track to which tree each visited...

theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set to another set, and continuous functions...