disjoint set

A "disjoint set" is a mathematical concept where sets do not share any elements, with applications in data structures and set theory.

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Definition

C1Mathematics

(technical, academic)A collection of sets where no two sets have any common elements.

Example

  • Sets A = {1, 2, 3} and B = {4, 5, 6} are disjoint because they have no elements in common.
  • The concept of disjoint sets is fundamental in set theory.

C1Computer Science

(technical, academic)A data structure used to manage sets that do not share elements and to perform efficient operations on them.

Example

  • Disjoint set data structures are crucial for algorithms that manage dynamic connectivity.

Similar

Terms that have similar or relatively close meanings to "disjoint set":

disjoint unionset theorypartially ordered setunderlying set