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Self-adjusting binary search tree
A splay tree is a binary search tree with the additional property that recently accessed elements are quick to access again. Like self-balancing binary
Splay_tree
Data structure for representing a forest
auxiliary data structure (often splay trees, though the original paper predates splay trees and thus uses biased binary search trees). The nodes in the auxiliary
Link/cut_tree
Any node-based binary search tree that automatically keeps its height the same
items. This is the case for many binary search trees, such as AVL trees and red–black trees. Splay trees and treaps are self-balancing but not height-balanced
Self-balancing binary search tree
Self-balancing_binary_search_tree
Topics referred to by the same term
wall Splay (plastics), off-colored streaking that occurs in injection molded plastics Splay tree, a type of search tree Splay fault, geology Splay leg
Splay
Self-balancing binary search tree data structure
Left-leaning red–black tree AVL tree B-tree (2–3 tree, 2–3–4 tree, B+ tree, B*-tree, UB-tree) Scapegoat tree Splay tree T-tree WAVL tree GNU libavl Cormen
Red–black_tree
Computer science concept
sequence in order. The splay tree is conjectured to have a constant competitive ratio compared to the dynamically optimal tree in all cases, though this
Optimal_binary_search_tree
Rooted binary tree data structure
search trees, including T-tree, treap, red-black tree, B-tree, 2–3 tree, and Splay tree. Binary search trees are used in sorting algorithms such as tree sort
Binary_search_tree
Tree in Hampstead Heath, London, England
described it as "... poetically perfect for its role. The roots of the tree splay out like a hand clutching a bed sheet; the trunk is prone and abdomen-high
Fuck_Tree
Self-balancing binary search tree
mean ≈0.910. WAVL tree Weight-balanced tree Splay tree Scapegoat tree B-tree T-tree List of data structures Eric Alexander. "AVL Trees". Archived from the
AVL_tree
Limited form of tree data structure
search tree Splay tree Strahler number Tree of primitive Pythagorean triples#Alternative methods of generating the tree Unrooted binary tree Rowan Garnier;
Binary_tree
Local change in a binary tree that preserves leaf order
rotation at X. Tree rotations are used in a number of tree data structures such as AVL trees, red–black trees, WAVL trees, splay trees, and treaps. They
Tree_rotation
Data organization and storage formats
tree Red–black tree Rope Scapegoat tree Self-balancing binary search tree Splay tree T-tree Tango tree Threaded binary tree Top tree Treap WAVL tree Weight-balanced
List_of_data_structures
Type of sorting algorithm
to quicksort and heapsort[citation needed]. When using a splay tree as the binary search tree, the resulting algorithm (called splaysort) has the additional
Tree_sort
Type of balanced binary search tree
then driven away. Splay tree Trees Tree rotation AVL tree B-tree T-tree Galperin, Igal; Rivest, Ronald L. (1993). Scapegoat trees (PDF). Proceedings
Scapegoat_tree
Chinese businessman (born 1992)
During his time at university, Yang formed a rock band called Splay (named after Splay tree) where he was drummer and songwriter. After graduating from
Yang_Zhilin
Abstract data type
tree AVL tree Red–black tree Self-balancing tree Splay tree Heap Binary heap Binomial heap Fibonacci heap R-tree R* tree R+ tree Hilbert R-tree Rope Trie
Stack_(abstract_data_type)
American computer scientist
won the ACM Paris Kanellakis Award (jointly with Robert Tarjan) for the splay tree data structure. He was one of the pioneers in amortized analysis of algorithms
Daniel_Sleator
American computer scientist and mathematician
his strongly connected components algorithm, and co-inventor of both splay trees and Fibonacci heaps. Tarjan joined Princeton University as the James
Robert_Tarjan
set. Any particular algorithm for maintaining binary search trees (such as the splay tree algorithm or Iacono's working set structure) has a cost for
Geometry of binary search trees
Geometry_of_binary_search_trees
professor of computer science known for inventing data structures such as the splay tree Alfred Spector (professor), vice president of Research and Special Initiatives
List of Carnegie Mellon University people
List_of_Carnegie_Mellon_University_people
Standard library for the C programming language
of the extensions of BSD libc are: <sys/tree.h> – contains an implementation of red–black tree and splay tree <sys/queue.h> – implementations of Linked
C_standard_library
Type of binary search tree
log n ) {\displaystyle (k+1)O(\log \log n)} . Splay tree Optimal binary search tree Red–black tree Tree (data structure) Demaine, E. D.; Harmon, D.; Iacono
Tango_tree
List of unsolved computational problems
The dynamic optimality conjecture: Do splay trees have a bounded competitive ratio? Can a depth-first search tree be constructed in NC? Can the fast Fourier
List of unsolved problems in computer science
List_of_unsolved_problems_in_computer_science
Sitaraman – helped build Akamai's high performance network Daniel Sleator – splay tree, amortized analysis Aaron Sloman – artificial intelligence and cognitive
List_of_computer_scientists
Type of binary search tree
with a finger tree nor a splay tree, although both can be used to implement finger search trees. Guibas et al. introduced finger search trees, by building
Finger_search_tree
Sorting algorithm
sorting algorithm based on the splay tree data structure. The steps of the algorithm are: Initialize an empty splay tree For each data item in the input
Splaysort
self-balancing binary search tree, sorted association list, red–black tree, and splay tree, respectively) using a user-provided structure to describe the key
Comparison of programming languages (associative array)
Comparison_of_programming_languages_(associative_array)
Sequence merge algorithm in computer science
the smallest element faster. By using either heaps, tournament trees, or splay trees, the smallest element can be determined in O(log k) time. The resulting
K-way_merge_algorithm
Palm family of flowering plants
similar splayed shape) ultimately from Proto-Indo-European *pl̥h₂meh₂, a direct descendant folm once existed in Old English. Whether as shrubs, tree-like
Arecaceae
Award in theoretical computer science
1999 Daniel Sleator and Robert Tarjan For "invention of the widely used splay-tree data structure". 2000 Narendra Karmarkar For "his theoretical work in
Paris_Kanellakis_Award
Abstract syntax tree B-tree Binary tree Binary search tree Self-balancing binary search tree AVL tree Red–black tree Splay tree T-tree Binary space partitioning
List_of_graph_theory_topics
x's last access. Indeed, the queueish property is the complement of the splay tree working set property: the time to search for element x is O(lg w(x)).
Queap
Type of simulation
context of discrete event simulation; alternatives studied have included splay trees, skip lists, calendar queues, and ladder queues. On massively-parallel
Discrete-event_simulation
Variant of heap data structure
tree remains. Various merging strategies are employed. The analysis of pairing heaps' time complexity was initially inspired by that of splay trees.
Pairing_heap
Tarjan on red–black trees, which runs in worst-case logarithmic time. Later Sleator and Tarjan described a join algorithm for splay trees which runs in amortized
Join-based_tree_algorithms
Measures of how efficiently algorithms use resources
O(log (n)) O(log (n)) O(n) Splay tree — O(log (n)) O(log (n)) O(log (n)) — O(log (n)) O(log (n)) O(log (n)) O(n) AVL tree O(log (n)) O(log (n)) O(log
Best,_worst_and_average_case
Method of analyzing the amortized complexity of a data structure
amortized time. It may also be used to analyze splay trees, a self-adjusting form of binary search tree with logarithmic amortized time per operation.
Potential_method
Forestry techniques
number of trunks incorporated into the girth measurement listed. If the tree splays outward dramatically at breast height, then the girth should be measured
Tree_measurement
American computer scientist
empirical study of algorithm performance. In related work, Jones applied splay trees to data compression and developed algorithms for applying parallel computing
Douglas_W._Jones
American computer scientist (1953–1995)
Retrieved 2012-12-12. "From the Chairman" (PDF). Conduit. 8 (1): 16. 1999. "Splay-tree data structure creators win 1999 Paris Kanellakis Award" (Press release)
Paris_Kanellakis
molecular dynamics developed by Roberto Car and Michele Parrinello 1985 – Splay trees discovered by Sleator and Tarjan 1986 – Blum Blum Shub proposed by L
Timeline_of_algorithms
Dictionary data structure
elements. Splay trees are self adjusting search trees introduced by Sleator and Tarjan in 1985. Using restructuring heuristic, splay trees are able to
Iacono's working set structure
Iacono's_working_set_structure
Data structure
Fully Dynamic Trees with Top Trees. Alstrup et al Self-Adjusting Top Trees. Tarjan and Werneck, Proc. 16th SoDA, 2005 Splay Top Trees. Holm, Rotenberg
Top_tree
Measurement of the circumference of a tree trunk
number of trunks incorporated into the girth measurement listed. If the tree splays outward dramatically at breast height, then the girth should be measured
Tree_girth_measurement
search Key-sorted array; see binary search Self-balancing binary search tree Hash table Heap In this table, the asymptotic notation O(f(n)) means "not
Search_data_structure
Permutation that reverses binary numbers
numbers are queried in bit-reversed order. This bound applies even to trees like splay trees that are allowed to rearrange their nodes between accesses. Mainly
Bit-reversal_permutation
"Randomized Splay Trees: Theoretical and Experimental Results" (PDF). "General design concerns for a tree iterator". Steven J. Zeil. "Traversing Trees with Iterators"
Finger_search
Small group of trees
Old English grǣfa ('thicket'), dialectal Norwegian greive ('ram with splayed horns'), dialectal Norwegian greivlar ('ramifications of an antler'), dialectal
Grove_(nature)
Family of cricket-like animals
orthopteran insects found in Asia and southern Africa, known as dune crickets or splay-footed crickets. They are usually found in desert and sandy areas. Species
Schizodactylidae
Small insects of the family Gryllidae
Rhaphidophoroidea – cave or camel crickets; Superfamily Schizodactyloidea – dune or splay-footed crickets. The folklore and mythology surrounding crickets is extensive
Cricket_(insect)
Members of the insect family Gryllotalpidae
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Mole_cricket
Topics referred to by the same term
constructing graphs in computational complexity Zig-Zag, a tree-rotation variant used to balance splay trees Zig-zag entropy coding, a method used in JPEG images
Zigzag_(disambiguation)
been proved to be asymptotically equivalent to the working set theorem. Splay trees are known to have key-independent optimality. "John Iacono. Key independent
Key-independent_optimality
Type of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Jerusalem_cricket
Species of deer fly
Chrysops caecutiens, common name splayed deer fly, is a species of horse fly belonging to the family Tabanidae. It is also known by the colloquial name
Chrysops_caecutiens
Family of insects
agility, faster development, and lower nutritional needs. Tettigoniids are tree-living insects that are most commonly heard at night during summer and early
Tettigoniidae
Hair condition
the end, with multiple splits splaying out. In this type, the ends branch out multiple times, resembling branches of a tree. The hair has a bulb at the
Trichoptilosis
Species of plant
dermatitis. Oleander grows to 2–6 metres (7–20 feet) tall, with erect stems that splay outward as they mature; first-year stems have a glaucous bloom, while mature
Nerium
Past and present Cornell University faculty
including Tarjan's off-line least common ancestors algorithm; co-inventor of splay trees and Fibonacci heaps; Distinguished University Professor of Computer Science
List of Cornell University faculty
List_of_Cornell_University_faculty
Variety of fruit
this citron variety form a gradient from "open-hand" types with outward-splayed segments to "closed-hand" types, in which the fingers are kept together
Buddha's_hand
Small passerine bird found in temperate Eurasia
vertical trunk, progressing in short hops, using its stiff tail and widely splayed feet as support. Nevertheless, it is not wary, and is largely indifferent
Eurasian_treecreeper
Family of insects
inhabit other cool, damp environments such as rotten logs, stumps and hollow trees, and under damp leaves, stones, boards, and logs. Occasionally, they prove
Rhaphidophoridae
Small, long-tailed, seed-eating parakeet
indirect contact.[citation needed] In some cases, chicks will experience splay leg. This medical condition may be congenital or acquired through malnutrition
Budgerigar
Family of cricket-like animals
members of this family can be quite large: Parktown prawn can exceed 6 cm and tree weta can exceed 8 cm in length. Some Australian and Asian anostostomatids
Anostostomatidae
Species of amphibian
When threatened or in search of prey, they will leap from a branch and splay their four webbed feet. They utilize their patagia, membranes between their
Wallace's_flying_frog
Family of grasshoppers
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Pyrgomorphidae
Superfamily of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Hagloidea
Family of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Prophalangopsidae
Structure housing a honey bee colony
Broughton Carr in 1890, is a double-walled hive with an external housing that splays out towards the bottom of each frame covering a standard box shape hive
Beehive
Family of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Stenopelmatidae
Family of grasshoppers
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Romaleidae
Family of grasshoppers
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Eumastacidae
Genus of trees
the rest are pinnate or simple. Their wood tissue has narrow vessels and splayed parenchyma. Jacaranda flowers are produced in conspicuous large panicles
Jacaranda
Family of crickets
crickets based on the type genus Oecanthus Serville, 1831. They include "tree crickets", "anomalous crickets" and "bush crickets" (American usage) and
Oecanthidae
Family of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Ant_cricket
Many-legged arthropods with elongated bodies
aposematic, an honest signal of the animal's toxicity. Many species raise and splay their ultimate legs and display the spines found on the legs in a defensive
Centipede
Superfamily of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Gryllotalpoidea
Genus of cricket-like animals
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Cooloola_(insect)
Family of Caelifera
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Sandgroper_(insect)
Traditional Dwelling Type
compression. Second, the principals do not splay at the bottom (push the top of the walls over to the outside) because splaying only puts the purlins near the bottom
Rondavel
Family of grasshoppers
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Pneumoridae
Family of crickets
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Phalangopsidae
Family of insects
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Gryllacrididae
Family of crickets
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Mogoplistidae
Species of mammal
(Mesoplodon bowdoini), sometimes known as the deep-crest beaked whale or splay-toothed whale, is one of the least known members of a poorly known genus
Andrews'_beaked_whale
Family of grasshoppers in the suborder Caelifera
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Acrididae
Superfamily of cricket-like animals
1781 – includes the "true crickets" Oecanthidae Blanchard, 1845 – including tree crickets and "bush crickets" (American usage) Mogoplistidae Brunner von Wattenwyl
Grylloidea
Superfamily of Caelifera
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Tridactyloidea
Family of insects
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Tridactylidae
Suborder of cricket-like animals
Schizodactyloidea Blanchard, 1845 Family Schizodactylidae Blanchard, 1845 - dune or splay-footed crickets Superfamily Stenopelmatoidea Burmeister, 1838 Family Anostostomatidae
Ensifera
Family of crickets
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Trigonidiidae
Species of bird
has a medium-wide gray eye-ring (often fades to white in captivity), a splay of cream-white feathers on its upper neck, a pinkish-red tinge to the belly
Dusky_parrot
Genus of flowering plants in the olive family Oleaceae
it was still considered a rarity. Not all the varieties of suspensa are splaying and drooping, best seen hanging over a retaining wall; an erect form found
Forsythia
Dog breed from Jindo Island, South Korea
forward past vertical), yet are unique among other spitz breeds for ears that splay out to the sides, creating a shape similar to airplane wings. The inside
Korean_Jindo
Superfamily of grasshoppers
crickets; cave wetas) Schizodactyloidea Schizodactylidae (dune crickets or splay-footed crickets) Stenopelmatoidea Anostostomatidae (wetas, king crickets)
Eumastacoidea
Reptile of Africa
crocodilians, for example, the Nile crocodile is a quadruped with four short, splayed legs, a long, powerful tail, a scaly hide with rows of ossified scutes
Nile_crocodile
Interplay between observation, experiment, and theory in science
historical example is the belief that the legs of a galloping horse are splayed at the point when none of the horse's legs touch the ground, to the point
Scientific_method
Common name for a group of insects
Paul (2001). "Caelifera: Shorthorned Grasshoppers, Locusts and Relatives". Tree of Life web project. Archived from the original on 8 April 2015. Retrieved
Grasshopper
River island in India
island Peacock Island for its structure, which he thought resembled the splayed feathers of a peacock. It is also known as Bhasmachal, from the words bhasma
Umananda_Island
Bangladesh, India, Malaysia, Myanmar, Thailand, Sri Lanka and the Maldives. Splay faults, or secondary "pop up faults", caused long, narrow parts of the seafloor
2004 Indian Ocean earthquake and tsunami
2004_Indian_Ocean_earthquake_and_tsunami
SPLAY TREE
SPLAY TREE
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Rajasthani, Sanskrit, Tamil
Play; Entertainment; Coolness
Girl/Female
Indian, Sanskrit
Full of Divine Play; Beautiful
Boy/Male
Tamil
Play
Boy/Male
Gujarati, Indian
Play; Lord Ganesha
Boy/Male
Hindu
Play
Girl/Female
Hindu, Indian, Tamil
God Vishnu Play the Raga
Boy/Male
Vietnamese
Play.
Boy/Male
Hindu
Fun play, Lord Krishna
Surname or Lastname
English (Nottinghamshire)
English (Nottinghamshire) : nickname for a thin person, from Middle English spray ‘slender branch’ (of uncertain origin).
Boy/Male
Shakespearean
A Midsummer Night's Dream' Snout, a tinker, acts as Wall in the play within the play.
Boy/Male
Shakespearean
A Midsummer Night's Dream' Snug, a joiner. Acts as Lion in the play within the play.
Girl/Female
Tamil
Desire, To move, Discern, To play on An instrument, To play on An instrument
Girl/Female
Tamil
Divine play, Gods creation
Boy/Male
Shakespearean
A Midsummer Night's Dream' Starveling, a tailor, acts as Moonshine in the play within the play.
Girl/Female
Hindu
Desire, To move, Discern, To play on An instrument, To play on An instrument
Girl/Female
Hindu
Divine play, Gods creation
Boy/Male
Tamil
Fun play, Lord Krishna
Surname or Lastname
English or Irish
English or Irish : unexplained.
Surname or Lastname
English
English : from Middle English slaye (Old English slege, from slēan ‘to strike’), a metonymic occupational name for a slay maker, an implement used in weaving to push the weft thread tightly against the thread of the preceding pass of the shuttle.English : topographic name from Middle English slay ‘grassy slope’.
Girl/Female
Sanskrit
Play.
SPLAY TREE
SPLAY TREE
Boy/Male
Scandinavian
Brother.
Boy/Male
Hindu
Lord of the soul, Ruler of mind
Boy/Male
Tamil
Rustom | à®°à¯à®¸à¯à®¤à¯‹à®®
Warrior
Girl/Female
Tamil
People who are speak less and calm, Soft spoken
Boy/Male
Hindu
Lord of dwarka
Girl/Female
Tamil
Goddess Durga
Boy/Male
Indian
Intelligent, Courteous
Girl/Female
Indian, Punjabi, Sikh
Defender of God
Girl/Female
Indian, Modern, Telugu
Lord Shiva Wife Goddess Parvati
Boy/Male
Indian, Sanskrit
Descendant of Fire
SPLAY TREE
SPLAY TREE
SPLAY TREE
SPLAY TREE
SPLAY TREE
v. t.
To act or perform (a play); to represent in music action; as, to play a comedy; also, to act in the character of; to represent by acting; to simulate; to behave like; as, to play King Lear; to play the woman.
v. t.
To let fall in the form of spray.
v. t.
To keep in play, as a hooked fish, in order to land it.
v. t.
To spay; to castrate.
n.
Action; use; employment; exercise; practice; as, fair play; sword play; a play of wit.
n.
To contend, or take part, in a game; as, to play ball; hence, to gamble; as, he played for heavy stakes.
v. t.
To throw spray upon; to treat with a liquid in the form of spray; as, to spray a wound, or a surgical instrument, with carbolic acid.
n.
The representation or exhibition of a comedy or tragedy; as, he attends ever play.
v. t.
An instrument for applying such a spray; an atomizer.
n.
The act or practice of contending for victory, amusement, or a prize, as at dice, cards, or billiards; gaming; as, to lose a fortune in play.
n.
Motion; movement, regular or irregular; as, the play of a wheel or piston; hence, also, room for motion; free and easy action.
n.
To perform on an instrument of music; as, to play on a flute.
n.
A collective body of small branches; as, the tree has a beautiful spray.
v. t.
To bring into sportive or wanton action; to exhibit in action; to execute; as, to play tricks.
v. t.
To engage in, or go together with, as a contest for amusement or for a wager or prize; as, to play a game at baseball.
v. t.
To perform, as a piece of music, on an instrument; as, to play a waltz on the violin.
v. t.
To perform music upon; as, to play the flute or the organ.
v. t.
To put in action or motion; as, to play cannon upon a fortification; to play a trump.
a.
Displayed; spread out; turned outward; hence, flat; ungainly; as, splay shoulders.
n.
Hence, liberty of acting; room for enlargement or display; scope; as, to give full play to mirth.