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...

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...

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...

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...

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

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...

{\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...

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

algorithm's access to the structure vary. This model has been used extensively with problems related to the disjoint-set data structure. Thus, Tarjan and La...

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

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...

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

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

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

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...

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

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

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...

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...

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...

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

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...

counter to keep track of the size of the list: structure frame: data : item next : frame or nil structure stack: head : frame or nil size : integer procedure...

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...

Sleator). Another significant contribution was the analysis of the disjoint-set data structure; he was the first to prove the optimal runtime involving the...

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...

a disjoint-set data structure, making it easy to remember the equivalence of two labels by the use of an interface method E.g.: findSet(l). findSet(l)...

algorithms and data structures. For algorithms and data structures not necessarily mentioned here, see list of algorithms and list of data structures. This list...