Disjoint sets
Disjoint sets In mathematics, two sets are said to be disjoint if they have no element in common ... 2, 3} and {4, 5, 6} are disjoint sets. Explanation Formally, two sets A and B are disjoint if their intersection is the empty set ... sets. A collection of sets is pairwise disjoint or mutually disjoint if any two ...
http://en.wikipedia.org/wiki/Disjoint_sets - 2k - Cached - Similar pages

Disjoint union
Disjoint union Discriminated union links here. For discriminated ... see tagged union In set theory, a disjoint union (or discriminated union) is a union ... collection of sets whose members are pairwise disjoint. Formally, if $C$ is a ... A \in C} A is a disjoint union if and only if for all ... A \cap B = \varnothing. The term disjoint union is also used to refer ...
http://en.wikipedia.org/wiki/Disjoint_union - 4k - Cached - Similar pages

Talk:Disjoint sets
Talk:Disjoint sets Set theory is an esoteric branch ... times that sets (and the notion of disjoint sets) are used in math, it is ... do with disjointness anyways, so talk of disjoint sets is, if anything, a clue that ...
http://en.wikipedia.org/wiki/Talk:Disjoint_sets - 3k - Cached - Similar pages

Disjoint union (topology)
Disjoint union (topology) In topology and related areas of mathematics, the disjoint union (also called the direct sum, free ... is a space formed by equipping the disjoint union of the underlying sets with a natural topology called the disjoint union topology. The name coproduct originates from the fact that the disjoint union is the categorical dual of ...
http://en.wikipedia.org/wiki/Disjoint_union_(topology) - 4k - Cached - Similar pages

Almost disjoint sets
Almost disjoint sets In mathematics, two sets are almost disjoint if their intersection is small in some ... therefore result in different definitions of "almost disjoint". Definition The most common choice is to ... In this case, two sets are almost disjoint if their intersection is finite, i.e ... 0, 1] and [1, 2] are almost disjoint, because their intersection is the finite ...
http://en.wikipedia.org/wiki/Almost_disjoint_sets - 5k - Cached - Similar pages

Disjoint-set data structure
Disjoint-set data structure Given a set of ... a number of separate, nonoverlapping groups. A disjoint-set data structure is a data structure ... Because it supports these two operations, a disjoint-set data structure is sometimes called a ... takes two group representatives as its arguments. Disjoint-set linked lists Perhaps the simplest approach to creating a disjoint-set data structure is to create ...
http://en.wikipedia.org/wiki/Disjoint-set_data_structure - 21k - Cached - Similar pages

Edge Disjoint Shortest Pair Algorithm
Edge Disjoint Shortest Pair Algorithm Edge Disjoint Shortest Pair Algorithm The algorithm for generating a shortest pair of edge disjoint paths between a given pair of vertices ...
http://en.wikipedia.org/wiki/Edge_Disjoint_Shortest_Pair_Algorithm - 1k - Cached - Similar pages

Talk:Disjoint-set data structure
Talk:Disjoint-set data structure This is also known ... Some references The first description of the disjoint-sets forest idea is found in: Bernard ... F. Italiano. "Data structures and algorithms for disjoint set union problems", ACM Computing Surveys, Volume ...
http://en.wikipedia.org/wiki/Talk:Disjoint-set_data_structure - 1k - Cached - Similar pages

Topology glossary
... normal if any two separated sets have disjoint neighbourhoods. Completely normal Hausdorff. A completely normal ... not the union of a pair of disjoint nonempty open sets. Equivalently, a space is ... spaces and X is the (set-theoretic) disjoint union of {X i }, then the coproduct topology (or disjoint union topology, topological sum of the X ... discrete topology. Discrete topology. See Discrete space. Disjoint union topology. See Coproduct topology. Dispersion ...
http://en.wikipedia.org/wiki/Topology_glossary - 59k - Cached - Similar pages

Glossary of graph theory
... a Hamiltonian path. Two paths are internally disjoint (some people call it independent) if they ... graph is the union of three internally disjoint (simple) paths that have the same two ... data structure). A forest is a vertex-disjoint union of trees; or, equivalently, an acyclic ... math>E_2 corresponds to a path(disjoint from all other such paths) in corresponds to a path(disjoint from all other such paths) in < ...
http://en.wikipedia.org/wiki/Glossary_of_graph_theory - 68k - Cached - Similar pages