Dictionary of Algorithms and Data Structures
This web site is hosted by
the
Software and Systems Division,
Information Technology Laboratory,
NIST.
Development of this dictionary started in 1998
under the editorship of Paul E. Black.
This is a dictionary of algorithms, algorithmic techniques,
data structures, archetypal problems, and related definitions.
Algorithms include common functions, such as
Ackermann's function.
Problems include
traveling salesman and
Byzantine generals.
Some entries have links to implementations
and more information.
Index pages list entries by
area and by
type.
The two-level
index has a total download 1/20 as big as this page.
Don't use this site to cheat. Teachers, contact us if we can help.
Currently we do not include algorithms particular to business data processing, communications, operating systems or distributed algorithms,
programming languages, AI, graphics, or numerical analysis: it is
tough enough covering "general" algorithms and data structures.
If you have suggestions, corrections, or comments, please get in touch
with Paul Black.
Some terms with a leading variable, such as n-way,
m-dimensional, or p-branching, are under
k-.
You may find useful entries in
A
Glossary of Computer Oriented Abbreviations and Acronyms.
To look up words or phrases, enter them in the box, then click the
button.
- α: see inverse Ackermann function
- Ω
- ω
- ρ-approximation algorithm
- ∼
- Θ
A
- absolute performance guarantee
- abstract data type
- (a,b)-tree
- accepting state
- Ackermann's function
- active data structure
- acyclic directed graph: see directed acyclic graph
- acyclic graph
- adaptive heap sort
- adaptive Huffman coding
- adaptive k-d tree
- adaptive sort
- address-calculation sort
- adjacency-list representation
- adjacency-matrix representation
- adjacent
- admissible vertex
- ADT: see abstract data type
- adversary
- Aho-Corasick
- algorithm
- algorithm BSTW
- algorithm FGK
- algorithmically solvable: see decidable problem
- all pairs shortest path
- all simple paths
- alphabet
- Alpha Skip Search algorithm
- alternating path
- alternating Turing machine
- alternation
- American flag sort
- amortized cost
- ancestor
- and
- ANSI
- antichain
- antisymmetric
- Apostolico-Crochemore
- Apostolico-Giancarlo algorithm
- approximate string matching: see string matching with errors
- approximation algorithm
- arborescence
- arc: see edge
- arithmetic coding
- array
- array index
- array merging
- array search
- articulation point: see cut vertex
- assignment problem
- association list: see dictionary
- associative
- associative array
- asymptotically tight bound: see Θ
- asymptotic bound
- asymptotic space complexity
- asymptotic time complexity
- asymptotic upper bound: see big-O notation
- augmenting path
- automaton
- average case
- average-case cost
- AVL tree
- axiomatic semantics
B
- backtracking
- bag
- balance
- balanced binary search tree
- balanced binary tree
- balanced k-way merge sort
- balanced merge sort
- balanced multiway merge
- balanced multiway tree: see B-tree
- balanced quicksort
- balanced tree
- balanced two-way merge sort
- BANG file
- Batcher sort: see bitonic sort
- Baum Welch algorithm
- BB(α) tree
- BBP algorithm
- BDD
- BD-tree
- Bellman-Ford algorithm
- Benford's law
- best case
- best-case cost
- best-first search
- biconnected component
- biconnected graph
- bidirectional bubble sort
- big-O notation
- binary function
- binary GCD
- binary heap
- binary insertion sort
- binary knapsack problem: see knapsack problem
- binary priority queue
- binary relation
- binary search
- binary search tree
- binary tree
- binary tree representation of trees
- bingo sort
- binomial heap
- binomial tree
- bin packing problem
- bin sort: see bucket sort
- bintree
- bipartite graph
- bipartite matching
- bisector
- bitonic sort
- bit vector
- Bk tree
- blind sort
- blind trie
- block
- block addressing index
- blocking flow
- block search: see jump search
- Bloom filter
- blossom
- bogosort
- Bond Sequential Search
- boolean
- boolean expression
- boolean function
- border
- Boruvka's algorithm
- bottleneck traveling salesman
- boundary-based representation
- bounded error probability in polynomial time: see BPP
- bounded queue
- bounded stack
- Boyer-Moore
- Boyer-Moore-Horspool
- bozo sort
- B+-tree
- BPP
- Bradford's law
- branch and bound
- breadth-first search
- Bresenham's algorithm
- bridge
- British Museum technique
- brute force
- brute force string search
- brute force string search with mismatches
- BSP-tree
- B*-tree
- B-tree
- bubble sort
- bucket
- bucket array
- bucketing method
- bucket sort
- bucket trie
- buddy system
- buddy tree
- build-heap
- Burrows-Wheeler transform
- busy beaver
- BV-tree
- BWT: see Burrows-Wheeler transform
- Byzantine generals
C
- cactus stack
- Calculus of Communicating Systems
- calendar queue
- candidate consistency testing
- candidate verification
- canonical complexity class
- capacitated facility location
- capacity
- capacity constraint
- cartesian tree: see randomized binary search tree
- Caverphone
- CCS
- cell probe model
- cell tree
- cellular automaton
- centroid
- certificate
- chain
- chaining
- child
- Chinese postman problem
- Chinese remainder theorem
- Christofides algorithm
- chromatic index
- chromatic number
- circuit
- circuit complexity
- circuit value problem
- circular list
- circular queue
- clique
- clique problem
- clustering
- clustering free
- coalesced chaining
- coarsening
- cocktail shaker sort: see bidirectional bubble sort
- codeword
- coding tree
- Collatz problem
- collective recursion
- collision
- collision resolution scheme
- Colussi
- combination
- comb sort
- Commentz-Walter
- Communicating Sequential Processes
- commutative
- compact data structure
- compact DAWG
- compact trie
- comparison sort
- competitive analysis
- competitive ratio
- complement
- complete binary tree
- complete graph
- completely connected graph
- complete tree
- complexity
- complexity class
- compound algorithm
- computable
- concave function
- concurrent data structure
- concurrent flow
- concurrent read, concurrent write
- concurrent read, exclusive write
- confluently persistent data structure
- conjunction
- connected components
- connected graph
- constant function
- continuous knapsack problem: see fractional knapsack problem
- Cook reduction
- Cook's theorem
- CORDIC
- counting sort
- covering
- CRC: see cyclic redundancy check
- CRCW: see concurrent read, concurrent write
- CREW: see concurrent read, exclusive write
- critical path problem
- CSP
- CTL
- cube root
- cuckoo hashing
- Cupif-Giannini tree traversal
- cut
- cutting plane
- cutting stock problem
- cutting theorem
- cut vertex
- cycle
- cyclic redundancy check
D
- D-adjacent
- DAG: see directed acyclic graph
- DAG shortest paths
- data structure
- DAWG: see directed acyclic word graph
- decidable language
- decidable problem
- decimation: see prune and search
- decision problem
- decomposable searching problem
- degree
- dense graph
- depoissonization
- depth
- depth-first search
- deque
- derangement
- descendant
- deterministic
- deterministic algorithm
- deterministic finite automata string search
- deterministic finite automaton: see deterministic finite state machine
- deterministic finite state machine
- deterministic finite tree automaton
- deterministic pushdown automaton
- deterministic random bit generator: see pseudo-random number generator
- deterministic tree automaton
- Deutsch-Jozsa algorithm
- DFA: see deterministic finite state machine
- DFS: see depth-first search
- DFS forest
- DFTA: see deterministic finite tree automaton
- diagonalization
- diameter
- Dianna
- dichotomic search
- dictionary
- diet: see discrete interval encoding tree
- difference
- digital search tree
- digital tree
- digraph: see directed graph
- Dijkstra's algorithm
- diminishing increment sort
- dining philosophers
- direct chaining
- directed acyclic graph
- directed acyclic word graph
- directed graph
- discrete interval encoding tree
- discrete p-center
- disjoint set
- disjunction
- distributional complexity
- distribution sort
- distributive partitioning sort
- divide and conquer
- divide and marriage before conquest
- domain
- dominance tree sort
- don't care
- Doomsday rule
- double-direction bubble sort: see bidirectional bubble sort
- double-ended priority queue
- double hashing
- double left rotation
- double metaphone
- double right rotation
- doubly-chained tree: see binary tree representation of trees
- doubly-ended queue: see deque
- doubly linked list
- DPDA: see deterministic pushdown automaton
- DRBG: see pseudo-random number generator
- D-tree
- dual
- dual linear program
- dual-pivot quicksort
- Dutch national flag
- dyadic tree: see binary tree
- dynamic
- dynamic array
- dynamic hashing
- dynamic Huffman coding: see adaptive Huffman coding
- dynamic programming
- dynamization transformation
E
- easy split, hard merge
- edge
- edge coloring
- edge connectivity
- edge crossing
- edge-weighted graph: see weighted graph
- edit distance: see Levenshtein distance
- edit operation
- edit script
- efficiency
- 8 queens
- elastic-bucket trie
- element uniqueness
- end-of-string
- enfilade
- ERCW: see exclusive read, concurrent write
- EREW: see exclusive read, exclusive write
- Euclidean algorithm: see Euclid's algorithm
- Euclidean distance
- Euclidean Steiner tree
- Euclidean traveling salesman problem
- Euclid's algorithm
- Euler cycle
- Eulerian graph
- Eulerian path: see Euler cycle
- Euler's formula
- exact string matching: see string matching
- EXCELL
- exchange sort: see bubble sort
- exclusive or: see xor
- exclusive read, concurrent write
- exclusive read, exclusive write
- exhaustive search
- existential state
- expandable hashing
- expander graph
- exponential
- extended binary tree
- extended Euclid's algorithm
- extended k-d tree
- extendible hashing
- external chaining: see separate chaining
- external index
- external memory algorithm
- external memory data structure
- external merge
- external node: see leaf
- external quicksort
- external radix sort
- external sort
- extrapolation search: see interpolation search
- extremal
- extreme point
F
- facility location
- factor: see substring
- factorial
- fast fourier transform
- fathoming
- feasible region
- feasible solution
- feedback edge set
- feedback vertex set
- Ferguson-Forcade algorithm
- FFT: see fast fourier transform
- Fibonaccian search
- Fibonacci heap
- Fibonacci number
- Fibonacci tree
- FIFO: see queue
- filial-heir chain: see binary tree representation of trees
- Find
- find kth least element: see select kth element
- finitary tree
- finite Fourier transform
- finite state automaton: see finite state machine
- finite state machine
- finite state machine minimization
- finite state transducer
- first child-next sibling binary tree: see binary tree representation of trees
- first come, first served
- first-in, first-out
- Fisher-Yates shuffle
- fixed-grid method
- flash sort
- flow
- flow conservation
- flow function
- flow network
- Floyd-Warshall algorithm
- Ford-Bellman: see Bellman-Ford algorithm
- Ford-Fulkerson method
- forest
- forest editing problem
- formal language: see language
- formal methods
- formal verification
- forward index
- fractional knapsack problem
- fractional solution
- free edge
- free tree
- free vertex
- frequency count heuristic
- full array
- full binary tree
- full inverted index
- fully dynamic graph problem
- fully persistent data structure
- fully polynomial approximation scheme
- function
- functional data structure: see active data structure
G
- Galil-Giancarlo
- Galil-Seiferas
- gamma function
- GBD-tree
- GCD: see greatest common divisor
- geometric optimization problem
- global optimum
- gnome sort
- graph
- graph coloring
- graph concentration
- graph drawing
- graph isomorphism
- graph partition
- Gray code
- greatest common divisor
- greedy algorithm
- greedy heuristic
- grid drawing
- grid file
- Grover's algorithm
H
- halting problem
- Hamiltonian cycle
- Hamiltonian path
- Hamming distance
- hard split, easy merge
- hash: see hash function
- hashbelt
- hash function
- hash heap
- hash table
- hash table delete
- hash tree: see Merkle tree
- Hausdorff distance
- hB-tree
- head
- heap
- heapify
- heap property
- heapsort
- heaviest common subsequence: see longest common subsequence
- height
- height-balanced binary search tree
- height-balanced tree
- heuristic
- hidden Markov model
- highest common factor: see greatest common divisor
- histogram sort
- HMM: see hidden Markov model
- homeomorphic
- horizontal visibility map
- Horner's rule
- Horspool: see Boyer-Moore-Horspool
- hsadelta
- Huffman coding
- huge sparse array
- Hungarian algorithm: see Munkres' assignment algorithm
- hybrid algorithm
- hyperedge
- hypergraph
- HyperLogLog
I
- IBLT: see invertible Bloom lookup table
- ideal merge
- ideal random shuffle
- implication
- implies
- inclusion-exclusion principle
- inclusive or: see or
- incompressible string
- incremental hashing: see linear hashing
- in-degree
- independent set
- index file
- information theoretic bound
- in-order traversal
- in-place sort
- insertion sort
- integer linear program
- integer multi-commodity flow
- integer polyhedron
- interactive proof system
- interior-based representation
- internal node
- internal sort
- interpolation search
- interpolation-sequential search
- interpolation sort: see histogram sort
- intersection
- interval tree
- intractable
- introsort: see introspective sort
- introspective sort
- inverse Ackermann function
- inverse suffix array
- inversion list
- inverted file index
- inverted index
- invertible Bloom lookup table
- irreflexive
- isomorphic
- iteration
J
- Jaro-Winkler
- jelly-fish
- Johnson's algorithm
- Johnson-Trotter
- J sort
- JSort
- jump list
- jump search
K
- Karnaugh map
- Karp-Rabin
- Karp reduction
- k-ary heap
- k-ary Huffman coding
- k-ary tree
- k-clustering
- k-coloring
- k-connected graph
- k-d-B-tree
- k-dimensional
- K-dominant match
- k-d tree
- key
- KMP: see Knuth-Morris-Pratt algorithm
- KmpSkip Search
- knapsack problem
- knight's tour
- Knuth-Morris-Pratt algorithm
- Königsberg bridges problem: see Euler cycle
- Kolmogorov complexity
- Kraft's inequality
- Kripke structure
- Kruskal's algorithm
- kth order Fibonacci numbers
- kth shortest path
- kth smallest element: see select kth element
- k²-tree
- KV diagram: see Karnaugh map
- k-way merge
- k-way merge sort
- k-way tree: see k-ary tree
L
- labeled graph
- language
- last-in, first-out
- Las Vegas algorithm
- lattice
- layered graph
- LCFS hashing
- LCM: see least common multiple
- LCS
- LDS: see linked data signature
- leaf
- least common multiple
- leftist tree
- left rotation
- Lempel-Ziv-Welch
- level
- level-order traversal
- Levenshtein distance
- lexicographical order
- LIFO: see stack
- linear
- linear congruential generator
- linear hash
- linear hashing
- linear insertion sort: see insertion sort
- linear order: see total order
- linear probing
- linear probing sort
- linear product
- linear program
- linear quadtree
- linear search
- link
- linked data signature
- linked list
- list
- list contraction
- little-o notation
- Lm distance
- load factor
- local alignment
- locality-sensitive hashing
- local optimum
- logarithmic
- longest common subsequence
- longest common substring
- Lotka's law
- lower bound
- lower triangular matrix
- lowest common ancestor
- l-reduction
- lucky sort
- LZW compression: see Lempel-Ziv-Welch
|
M
- Malhotra-Kumar-Maheshwari blocking flow
- Manhattan distance
- many-one reduction
- map: see dictionary
- Markov chain
- Marlena
- marriage problem: see assignment problem
- Master theorem
- matched edge
- matched vertex
- matching
- matrix
- matrix-chain multiplication problem
- matrix multiplication
- max-heap property
- maximal independent set
- maximally connected component
- Maximal Shift
- maximum bipartite matching: see bipartite matching
- maximum-flow problem
- MBB: see minimum bounding box
- Mealy machine
- mean
- median
- meld
- memoization
- merge
- merge sort
- Merkle tree
- metaheuristic
- metaphone
- midrange
- Miller-Rabin
- min-heap property
- minimal perfect hashing
- minimax
- minimum bounding box
- minimum cut
- minimum spanning tree
- minimum vertex cut
- Minkowski distance: see Lm distance
- mixed integer linear program
- mode
- model checking
- model of computation
- moderately exponential
- MODIFIND
- monotone priority queue
- monotonically decreasing
- monotonically increasing
- Monte Carlo algorithm
- Moore machine
- Morris-Pratt algorithm
- move: see transition
- move-to-front heuristic
- move-to-root heuristic
- MST: see minimum spanning tree
- multi-commodity flow
- multigraph
- multikey Quicksort
- multilayer grid file
- multiplication method
- multiprefix
- multiprocessor model
- multi-set: see bag
- multi suffix tree
- multiway decision
- multiway merge
- multiway search tree
- multiway tree
- Munkres' assignment algorithm
N
- naive string search: see brute force string search
- nand
- n-ary function
- NC many-one reducibility
- nearest neighbor
- negation
- network flow: see flow function
- network flow problem: see maximum-flow problem
- next state
- NFA: see nondeterministic finite state machine
- NFTA: see nondeterministic finite tree automaton
- NIST
- node
- nonbalanced merge
- nonbalanced merge sort
- nondeterministic
- nondeterministic algorithm
- nondeterministic finite automaton: see nondeterministic finite state machine
- nondeterministic finite state machine
- nondeterministic finite tree automaton
- nondeterministic polynomial time: see NP
- nondeterministic tree automaton
- nondeterministic Turing machine
- nonterminal node: see internal node
- nor
- not
- Not So Naive
- NP
- NP-complete
- NP-complete language
- NP-hard
- n queens
- nullary function: see 0-ary function
- null tree
- NYSIIS
O
- O: see big-O notation
- OBDD
- objective function
- oblivious algorithm
- occurrence
- octree
- off-line algorithm
- offset
- omega
- omicron
- 1-based indexing
- one-dimensional
- on-line algorithm
- open addressing
- optimal
- optimal cost: see best-case cost
- optimal hashing: see perfect hashing
- optimal merge
- optimal mismatch
- optimal polygon triangulation problem
- optimal polyphase merge
- optimal polyphase merge sort
- optimal solution
- optimal triangulation problem
- optimal value
- optimization problem
- or
- oracle set
- oracle tape
- oracle Turing machine
- order
- ordered array
- ordered binary decision diagram: see OBDD
- ordered linked list
- ordered tree
- order-preserving hash: see linear hash
- order-preserving Huffman coding
- order-preserving minimal perfect hashing
- oriented acyclic graph: see directed acyclic graph
- oriented graph: see directed graph
- oriented tree: see rooted tree
- orthogonal drawing
- orthogonal lists
- orthogonally convex rectilinear polygon
- oscillating merge sort
- out-degree
P
- P
- packing
- padding argument
- pagoda
- pairing heap
- PAM: see point access method
- parallel computation thesis
- parallel prefix computation
- parallel random-access machine
- parametric searching
- parent
- partial function
- partially decidable problem
- partially dynamic graph problem
- partially ordered set: see poset
- partially persistent data structure
- partial order
- partial recursive function
- partition
- passive data structure
- path
- path cover
- path system problem
- Patricia tree
- pattern
- pattern element
- P-complete
- PCP: see Post's correspondence problem
- PDA: see pushdown automaton
- Pearson's hash
- perfect binary tree
- perfect hashing
- perfect k-ary tree
- perfect matching
- perfect shuffle
- performance guarantee
- performance ratio: see relative performance guarantee
- permutation
- permutation sort
- persistent data structure
- phonetic coding
- pigeonhole sort
- pile
- pipelined divide and conquer
- planar graph
- planarization
- planar straight-line graph
- PLOP-hashing
- point access method
- pointer jumping
- pointer machine
- poissonization
- polychotomy
- polyhedron
- polylogarithmic
- polynomial
- polynomial approximation scheme
- polynomial hierarchy
- polynomial time
- polynomial-time reduction
- polyphase merge
- polyphase merge sort
- polytope
- poset
- postfix traversal: see postorder traversal
- Post machine
- postman's sort
- postorder traversal
- Post's correspondence problem
- potential function
- PRAM: see parallel random-access machine
- predicate
- prefix
- prefix code
- prefix sums: see scan
- prefix traversal: see preorder traversal
- preorder traversal
- primary clustering
- primitive algorithm
- primitive recursive
- Prim-Jarnik algorithm
- principle of optimality
- priority queue
- prisoner's dilemma
- PRNG: see pseudo-random number generator
- probabilistic algorithm
- probabilistically checkable proof
- probabilistic Turing machine
- probe sequence
- procedure
- process algebra
- proper
- proper binary tree: see full binary tree
- proper coloring
- proper subset
- property list: see dictionary
- prune and search
- pseudo-random number generator
- PTAS: see polynomial approximation scheme
- pth order Fibonacci numbers: see kth order Fibonacci numbers
- P-tree
- purely functional language
- pushdown automaton
- pushdown transducer
- p-way merge sort: see k-way merge sort
Q
- qm sort
- q sort
- quadratic probing
- quadtree
- quadtree complexity theorem
- quad trie
- quantum computation
- queue
- quick search
- quicksort
R
- Rabin-Karp: see Karp-Rabin
- radix sort
- radix tree: see Patricia tree
- ragged matrix
- Raita
- random access machine
- randomization
- randomized algorithm
- randomized binary search tree
- randomized complexity
- randomized polynomial time: see RP
- randomized rounding
- randomized search tree
- Randomized-Select
- random number generator
- random sampling
- random search
- range
- range sort
- rank
- rapid sort
- Ratcliff/Obershelp pattern recognition
- RBST: see randomized binary search tree
- reachability: see reachable
- reachable
- rebalance
- recognizer
- rectangular matrix
- rectilinear
- rectilinear Steiner tree
- recurrence equations: see recurrence relation
- recurrence relation
- recursion
- recursion termination
- recursion tree
- recursive
- recursive data structure
- recursive doubling: see pointer jumping
- recursive language: see decidable language
- recursively enumerable language
- recursively solvable: see decidable problem
- red-black tree
- reduced basis
- reduced digraph
- reduced ordered binary decision diagram
- reduction
- reflexive
- regular decomposition
- rehashing: see double hashing
- relation
- relational structure
- relative performance guarantee
- relaxation
- relaxed balance
- repeated squaring
- rescalable
- reservoir sampling
- restricted universe sort
- Reverse Colussi
- Reverse Factor
- R-file
- Rice's method
- right rotation
- right-threaded tree
- RNG: see random number generator
- ROBDD: see reduced ordered binary decision diagram
- Robin Hood hashing
- root
- root balance: see balance
- rooted tree
- rotate left: see left rotation
- rotate right: see right rotation
- rotation
- rough graph
- RP
- R+-tree
- R*-tree
- R-tree
- run time
S
- saguaro stack: see cactus stack
- SAM: see spatial access method
- saturated edge
- SBB tree
- scan
- scapegoat tree
- scatter storage: see hash table
- Schorr-Waite graph marking algorithm
- search
- search tree
- search tree property
- secant search
- secondary clustering
- segment
- Select
- select and partition
- selection problem: see select kth element
- selection sort
- select kth element
- select mode
- self-loop
- self-organizing list
- self-organizing sequential search: see transpose sequential search
- semidefinite programming
- separate chaining
- separation theorem
- sequential search: see linear search
- set
- set cover
- set packing
- shadow heap
- shadow merge
- shadow merge insert
- shaker sort: see bidirectional bubble sort
- Shannon-Fano coding
- shared memory
- Shell sort
- Shift-Or
- Shor's algorithm
- shortcutting: see pointer jumping
- shortest common supersequence
- shortest common superstring
- shortest path
- shortest spanning tree: see minimum spanning tree
- shuffle: see permutation
- shuffle sort
- sibling
- sieve of Eratosthenes
- sift up
- signature
- Simon's algorithm
- simple merge
- simple path
- simple uniform hashing
- simplex
- simulated annealing
- simulation theorem
- single-destination shortest-path problem
- single-pair shortest-path problem: see shortest path
- single program multiple data
- single-source shortest-path problem
- singly linked list: see linked list
- singularity analysis
- sink
- sinking sort: see bubble sort
- skd-tree
- skew symmetry
- skip list
- skip search
- slope selection
- Smith algorithm
- Smith-Waterman algorithm
- smoothsort
- solvable
- sort
- sorted array
- sorted list
- sorted-string table: see SSTable
- sort in place: see in-place sort
- soundex
- source
- space-constructible function
- space ordering method
- spanning tree
- sparse graph
- sparse matrix
- sparsification
- sparsity
- spatial access method
- spiral storage
- splay tree
- SPMD: see single program multiple data
- square matrix
- square root
- SST: see minimum spanning tree
- SSTable
- stable
- stack
- stack tree
- star encoding
- star-shaped polygon
- start state
- state
- state machine
- state transition: see transition
- static
- static Huffman coding: see Huffman coding
- s-t cut
- st-digraph
- Steiner point
- Steiner ratio
- Steiner tree
- Steiner vertex
- Steinhaus-Johnson-Trotter: see Johnson-Trotter
- Stirling's approximation
- Stirling's formula
- stooge sort
- straight-line drawing
- strand sort
- strictly decreasing
- strictly increasing
- strictly lower triangular matrix
- strictly upper triangular matrix
- string
- string editing problem
- string matching
- string matching on ordered alphabets
- string matching with errors
- string matching with mismatches
- string searching: see string matching
- strip packing
- strongly connected component
- strongly connected graph
- strongly NP-hard
- strsrch
- stupid sort
- subadditive ergodic theorem
- subgraph
- subgraph isomorphism
- sublinear time algorithm
- subsequence
- subset
- substring
- subtree
- suffix
- suffix array
- suffix automaton
- suffix tree
- superimposed code
- superset
- supersink
- supersource
- symmetric
- symmetrically linked list: see doubly linked list
- symmetric binary B-tree: see red-black tree
- symmetric set difference
- symmetric traversal: see in-order traversal
- symmetry breaking
T
- tabulation hashing
- taco sort
- tail
- tail recursion
- target
- temporal logic
- terminal
- terminal node: see leaf
- ternary search tree
- text
- text searching: see string matching
- theta: see Θ
- threaded binary tree
- threaded tree
- three-dimensional
- three-way merge sort
- three-way radix quicksort: see multikey Quicksort
- time-constructible function
- time/space complexity
- top-down radix sort
- top-down tree automaton
- topological order
- topological sort
- topology tree
- total function
- totally decidable language: see decidable language
- totally decidable problem: see decidable problem
- totally undecidable problem
- total order
- tour: see Hamiltonian cycle
- tournament
- tournament sort
- towers of Hanoi
- tractable
- transition
- transition function
- transitive
- transitive closure
- transitive reduction
- transpose sequential search
- traveling salesman
- treap
- tree
- tree automaton
- tree contraction
- tree editing problem
- treesort (1)
- treesort (2)
- tree traversal
- triangle inequality
- triconnected graph
- trie
- trinary function
- tripartition
- Trotter-Johnson: see Johnson-Trotter
- TSP: see traveling salesman
- TST: see ternary search tree
- Turbo-BM
- Turbo Reverse Factor
- Turing machine
- Turing reduction
- Turing transducer
- twin grid file
- twisted tabulation hashing
- 2-choice hashing
- two-dimensional
- 2-left hashing
- two-level grid file
- 2-3-4 tree
- 2-3 tree
- Two Way algorithm
- two-way linked list: see doubly linked list
- two-way merge sort
U
- UB-tree
- UKP: see unbounded knapsack problem
- unary function
- unbiased coin flipping algorithm
- unbounded knapsack problem
- uncomputable function
- uncomputable problem
- undecidable language
- undecidable problem
- undirected graph
- uniform circuit complexity
- uniform circuit family
- uniform hashing
- uniform matrix
- union
- union of automata
- universal B-tree
- universal hashing
- universal state
- universal Turing machine
- universe
- unlimited branching tree
- unranking
- UnShuffle sort
- unsolvable problem
- unsorted list
- upper triangular matrix
V
- van Emde-Boas priority queue
- vehicle routing problem
- Veitch diagram: see Karnaugh map
- Venn diagram
- vertex
- vertex coloring
- vertex connectivity
- vertex cover
- vertical visibility map
- virtual hashing
- visibility map
- visible
- Viterbi algorithm
- Vitter's algorithm
- VRP: see vehicle routing problem
W
- walk
- WCET: see worst-case execution time
- weak-heap
- weak-heap sort
- weight-balanced tree: see BB(α) tree
- weighted, directed graph
- weighted graph
- window
- witness
- work
- work-depth model
- work-efficient
- work-preserving
- worst case
- worst-case cost
- worst-case execution time
- worst-case minimum access
X
- xor
Y
- Yule distribution: see Zipfian distribution
Z
- Zeller's congruence
- 0-ary function
- 0-based indexing
- 0-1 knapsack problem: see knapsack problem
- Zhu-Takaoka
- Zipfian distribution
- Zipf's law
- zipper
- ZPP
|
We thank
those who contributed definitions
as well as many others who offered suggestions and corrections.
The URL https://www.nist.gov/dads/ is an alias which should continue
to refer to DADS. We regret any inconvenience this may cause.
Here are some references on algorithms and data structures.
The Stony Brook
Algorithm Repository, which has algorithms organized by type,
succinct, illustrated definitions, and ratings of sites with
implementations.
Data
Structures and Algorithms is a wonderful site with illustrations,
explanations, analysis, and code taking the student from arrays and
lists through trees, graphs, and intractable problems.
Eric Weisstein's World
of Mathematics or MathWorld.
The Sphere
online judge (SPOJ) has about 6600 small programming tasks or puzzles and
900 contests. Even nicer it automatically assesses your programs written in
40 languages.
The Error Correction Zoo, which
was created "to categorize and to organize known classical and quantum
error-correction schemes", and the
Quantum Algorithm Zoo, which
"is a comprehensive catalog of quantum algorithms."
The Computer Science part of Arxiv
has sections like Data Structures and Algorithms.
The International Conference on
Fun
With Algorithms (FUN 2024). The conference "is
dedicated to the use, design, and analysis of algorithms and data
structures, focusing on results that provide amusing, witty but
nonetheless original and scientifically profound contributions to the
area."
Conference on
Creative
Mathematical Sciences Communication. The conference "is to explore new ways
of communicating mathematical sciences" and "will host a unique
interaction between artists (theatre, dance, graphic arts, story) and
scientists /teachers/communicators." The notion is to build on
"Computer Science Unplugged, Algorithms Unplugged, the IMAGINATION
project, Bebras and other similar efforts."
Bibliography
[AS98]
Pankaj K. Agarwal and Micha Sharir, Efficient
Algorithms for Geometric Optimization, ACM Computing Surveys,
30(4):412-458, December 1998.
[ATCH99] Algorithms and Theory of Computation
Handbook,
Mikhail J. Atallah, ed., CRC Press LLC, 1999.
[CLR90]
Thomas H. Cormen, Charles E. Leiserson, and Ronald
L. Rivest, Introduction to Algorithms,
MIT Press, 1990.
[GBY91]
Gaston H. Gonnet and Ricardo Baeza-Yates,
Handbook of Algorithms and Data Structures -- in Pascal and C,
2nd edition, Addison-Wesley, 1991.
[GCG92]
P. Gupta, P. P. Chakrabarti, and S. Ghose,
The Towers of Hanoi: Generalizations, Specializations, and
Algorithms, Intern. J. Computer Math., 46:149-161,
Gordon and Breach Science Publishers S.A., 1992.
[GG98]
Volker Gaede and Oliver Günther,
Multidimensional Access Methods, ACM Computing Surveys,
30(2):170-231, June 1998.
[GT97]
Michael T. Goodrich and Roberto Tamassia,
Data Structures and Algorithms in Java,
2nd edition,
John Wiley & Sons, 1997.
[Graef06]
Goetz Graefe,
Implementing Sorting in Database Systems, ACM Computing Surveys,
38(3), Article 10, September 2006.
[Hirv01]
Mika Hirvensalo, Quantum Computing,
Springer-Verlag, 2001.
[HS83]
Ellis Horowitz and Sartaj Sahni,
Fundamentals of Data Structures,
Computer Science
Press, 1983.
[Knuth97]
Donald E. Knuth, The Art of Computer
Programming, Addison-Wesley, volumes 1 and 2, 2nd
edition, 1997.
[Knuth98]
Donald E. Knuth, The Art of Computer
Programming, Addison-Wesley, volume 3, 2nd edition, 1998.
[Leda98]
LEDA
Library of Efficient Data types and Algorithms
(accessed 17 June 2019).
[Sedge97]
Robert Sedgewick,
Algorithms in C,
Addison-Wesley, 1997.
[Stand98]
Thomas Standish, Data Structures in Java,
Addison-Wesley, 1998.
[Sund98]
Daniel M. Sunday, A Very Fast Substring
Search Algorithm, Communications of the ACM, 33(8):132-142,
August 1998.
[Vitt01]
Jeffrey Scott Vitter, External Memory Algorithms
and Data Structures: Dealing with Massive Data, ACM Computing
Surveys, 33(2):209-271, June 2001.
[Wier98]
Roel Wieringa, A Survey of Structured and
Object-Oriented Software Specification Methods and Techniques,
ACM Computing Surveys, 30(4):459-527, December 1998.
Here are
citation examples and an explanation
of credit.
Robots, please index
all term pages, including spelling variants.
Created
Fri Sep 4 16:39:23 1998
by Paul E. Black
([email protected])
This Trailer
Updated
Mon Aug 19 13:06:23 2024
by Paul E. Black
([email protected])
This page's URL is
https://www.nist.gov/dads/
DOI 10.18434/T4/1422485