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Class in computational complexity theory
complexity theory, a decision problem is P-complete (complete for the complexity class P) if it is in P and every problem in P can be reduced to it by an appropriate
P-complete
Complexity class
The #P-complete problems (pronounced "sharp P complete", "number P complete", or "hash P complete") form a complexity class in computational complexity
♯P-complete
Complexity class
NP-complete problems are the hardest of the problems to which solutions can be verified quickly. Somewhat more precisely, a problem is NP-complete when:
NP-completeness
Mathematical proof about the permanent of matrices
The #P-completeness of 01-permanent, sometimes known as Valiant's theorem, is a mathematical proof about the permanent of matrices, considered a seminal
♯P-completeness of 01-permanent
♯P-completeness_of_01-permanent
Unsolved problem in computer science
opinion of this era." To attack the P = NP question, the concept of NP-completeness is very useful. NP-complete problems are problems that any other
P_versus_NP_problem
2024 film by James Mangold
A Complete Unknown is a 2024 American biographical film about the early career of American singer-songwriter Bob Dylan, directed by James Mangold, written
A_Complete_Unknown
Complexity class
problems. The most difficult, representative problems of this class are #P-complete. An NP decision problem can often be stated in the form "Are there any
♯P
Ability of a computing system to simulate Turing machines
Turing-complete. A related concept is that of Turing equivalence – two computers P and Q are called equivalent if P can simulate Q and Q can simulate P. The
Turing_completeness
Bipartite graph where each node of 1st set is linked to all nodes of 2nd set
In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first
Complete_bipartite_graph
examples include the real numbers, the complex numbers, and complete valued fields (such as the p-adic numbers). A field is a set F {\displaystyle F} with
Complete_field
class was defined by Papadimitriou and Zachos in 1983. An example of a ⊕P-complete problem (under polynomial-time many-one reductions) is ⊕SAT: given a Boolean
Parity_P
American literary canon
This is a complete list of works by H. P. Lovecraft. Dates for the fiction, collaborations and juvenilia are in the format: composition date / first publication
H._P._Lovecraft_bibliography
Algorithm for counting perfect matchings in planar graphs
This same task is #P-complete for general graphs. For matchings that are not required to be perfect, counting them remains #P-complete even for planar graphs
FKT_algorithm
Set of edges without common vertices
Hosoya index of the graph. It is #P-complete to compute this quantity, even for bipartite graphs. It is also #P-complete to count perfect matchings, even
Matching_(graph_theory)
Riemannian manifold in which geodesics extend infinitely in all directions
mathematics, a complete manifold (or geodesically complete manifold) M is a (pseudo-) Riemannian manifold for which, starting at any point p of M, there
Complete_manifold
"Hewlett Packard Enterprise Completes Spin-Merger To Form DXC Technology". www.forbes.com. April 4, 2017. Retrieved April 21, 2017. "S&P Dow Jones Indices Announces
List_of_S&P_500_companies
Class of problems solvable in polynomial time
difficult problems in P are P-complete problems. Another generalization of P is P/poly, or Nonuniform Polynomial-Time. If a problem is in P/poly, then it can
P_(complexity)
Algorithmic complexity class
problem with the number of steps written in unary is P-complete. Other examples of EXPTIME-complete problems include the problem of evaluating a position
EXPTIME
problems, known as #P-complete (read as sharp P complete). In other words, every instance of a problem in the complexity class #P can be reduced to an
♯SAT
Type of decision problem in computer science
the given problem. The PSPACE-complete problems are widely suspected to be outside the more famous complexity classes P (polynomial time) and NP (non-deterministic
PSPACE-complete
Protein source containing all nine essential amino acids
A complete protein or whole protein is a food source of protein that contains an adequate proportion of each of the nine essential amino acids necessary
Complete_protein
Class in computational complexity theory
using parallelism. Just as the class NP-complete can be thought of as "probably intractable", so the class P-complete, when using NC reductions, can be thought
NC_(complexity)
Graph in which every two vertices are adjacent
graph theory, a complete graph is a simple undirected graph in which every pair of distinct vertices is connected by a unique edge. A complete digraph is a
Complete_graph
Term describing difficult problems in AI
intelligence to solve are informally known as AI-complete or AI-hard. Calling a problem AI-complete reflects the belief that it cannot be solved by a
AI-complete
Type of computational problem
#P, C=P, ModkP, ⊕P, etc. The matrix determinant function is #L-complete. As for oracle machines using #P-oracles, we have P P P H ⊂ P # P = P P P ⊂ P S
Counting_problem_(complexity)
every quasi-complete topological vector space is sequentially complete. Cauchy net Complete space Complete topological vector space Quasi-complete space Topological
Sequentially_complete
American twin-engined fighter of WWII
testing. The rest of the order was completed as P-38F-13-LO, P-38F-15-LO, P-38G-13-LO, and P-38G-15-LO aircraft. P-322-I: 22 Lightning Is of the 143 built
Lockheed_P-38_Lightning
Complexity class
special case of any co-NP-complete problem with only polynomial overhead. If P is different from co-NP, then all of the co-NP-complete problems are not solvable
Co-NP-complete
Notion of the "hardest" or "most general" problem in a complexity class
In computational complexity theory, a computational problem is complete for a complexity class if it is, in a technical sense, among the "hardest" (or
Complete_(complexity)
Undirected, connected, and acyclic graph
case of spanning trees in a complete graph.) The similar problem of counting all the subtrees regardless of size is #P-complete in the general case (Jerrum
Tree_(graph_theory)
1990 compilation album by Minor Threat
Complete Discography is a compilation album by American hardcore punk band Minor Threat, released in 1989 through the band's own Dischord Records. As the
Complete_Discography
Denture for toothless people
A complete denture (also known as a full denture, false teeth or plate) is a removable appliance used when all teeth within a jaw have been lost and need
Complete_dentures
Set of computational problems stated by Richard Karp (1973)
computational complexity theory, Karp's 21 NP-complete problems are a set of computational problems which are NP-complete. In his 1972 paper, "Reducibility Among
Karp's 21 NP-complete problems
Karp's_21_NP-complete_problems
Decision problem in computer science
which asks to enumerate the number of subsets summing to the target, is #P-complete. There are several ways to solve SSP in time exponential in n. The most
Subset_sum_problem
Largest integer that divides given integers
divisor Long (1972, p. 33) Pettofrezzo & Byrkit (1970, p. 34) Kelley, W. Michael (2004). The Complete Idiot's Guide to Algebra. Penguin. p. 142. ISBN 978-1-59257-161-1
Greatest_common_divisor
Problem in formal logic
known to be computable in polynomial time, in the sense that it is a P-complete problem. The extension of the problem for quantified Horn formulae can
Horn-satisfiability
1992 studio album by Obituary
End Complete (Liner notes). 1998. p. 5. The Obituary Remasters: The End Complete (Liner notes). 1998. p. 3. The Obituary Remasters: The End Complete (Liner
The_End_Complete
having stocks that are included in the S&P MidCap 400 (S&P 400) stock market index. The index, maintained by S&P Dow Jones Indices, comprises the common
List_of_S&P_400_companies
Unrelated vertices in graphs
constant factor in polynomial time (unless P = NP). In fact, Max Independent Set in general is Poly-APX-complete, meaning it is as hard as any problem that
Independent set (graph theory)
Independent_set_(graph_theory)
1982 greatest hits album by Madness
Complete Madness is the first greatest hits album by the English ska and pop band Madness. It was released on 23 April 1982 and included Madness' biggest
Complete_Madness
Problem of determining if a Boolean formula could be made true
problem, and is #P-complete. UNIQUE SAT is the problem of determining whether a formula has exactly one assignment. It is complete for US, the complexity
Boolean satisfiability problem
Boolean_satisfiability_problem
Yes/no problem in computer science
problem P is said to be complete for a set of decision problems S if P is a member of S and every problem in S can be reduced to P. Complete decision
Decision_problem
Problem in linear algebra
theory, a theorem of Valiant states that computing permanents is #P-hard, and even #P-complete for matrices in which all entries are 0 or 1 Valiant (1979).
Computing_the_permanent
Problem in theoretical computer science
the subisomorphism problem is still N P-complete, in particular because the Hamiltonian cycle problem is NP-complete for planar graphs. Here Ω invokes Big
Subgraph_isomorphism_problem
Subset of incomparable elements
counting the number of antichains of a finite partially ordered set is #P-complete. Let S {\displaystyle S} be a partially ordered set. Two elements a {\displaystyle
Antichain
and "complete curve" are usually used interchangeably. Over a more general base scheme, the distinction still matters.[citation needed] A curve in P 3 {\displaystyle
Complete_algebraic_curve
American WWII-era fighter aircraft
by NAA's engineer Schmued or by Curtiss, as NAA had purchased the complete set of P-40 wind tunnel data and flight test reports. The NA-73X was also one
North_American_P-51_Mustang
Mathematical phrase
In mathematics, the phrase complete partial order is variously used to refer to at least three similar, but distinct, classes of partially ordered sets
Complete_partial_order
When a finite set S of relations yields polynomial-time or NP-complete problems
by S is either in P or is NP-complete, as opposed to one of the classes of intermediate complexity that is known to exist (assuming P ≠ NP) by Ladner's
Schaefer's_dichotomy_theorem
Metric geometry
by a complete translation-invariant metric. The space Q p {\displaystyle \mathbb {Q} _{p}} of p-adic numbers is complete for any prime number p . {\displaystyle
Complete_metric_space
Notion in computational complexity theory
directed max degree-3 graphs is #P-complete. Consequently, the general version of Hamiltonian Cycle problem must be #P-complete as well. Shakashaka provides
Parsimonious_reduction
Pitcher pitching an entire game without the benefit of a relief pitcher
In baseball, a complete game (CG) is the act of a pitcher pitching an entire game without the benefit of a relief pitcher. A pitcher who meets this criterion
Complete_game
Level of information in economics and game theory
In economics and game theory, complete information is an economic situation or game in which knowledge about other market participants or players is available
Complete_information
are subsets of the class P of deterministic polynomial-time decision problems. Formally, a decision problem is NL-complete when it belongs to NL, and
NL-complete
Transportation policy and design approach
Complete streets is a transportation policy and design approach that requires streets to be planned, designed, operated and maintained to enable safe,
Complete_streets
Term in mathematics
In mathematics, an algebraic variety V in projective space is a complete intersection if the ideal of V is generated by exactly codim V elements. That
Complete_intersection
Partition of a simple polygon into triangles
time. However, counting the triangulations of a polygon with holes is #P-complete, making it unlikely that it can be done in polynomial time. Both triangulation
Polygon_triangulation
Game in algorithmic game theory
Determining whether a pure Nash equilibrium exists is a Σ 2 P {\displaystyle \Sigma _{2}^{\rm {P}}} -complete problem (see Polynomial hierarchy). Many other types
Succinct_game
Base-1 numeral system
decision problem descriptions in theoretical computer science (e.g. some P-complete problems), where it is used to "artificially" decrease the run-time or
Unary_numeral_system
List of characters appearing in the Marvel Cinematic Universe
Contents: A–L (previous page) M N O P Q R S T U V W X Y Z See also References Mary MacPherran (portrayed by Jameela Jamil), also known as Titania, is
Characters of the Marvel Cinematic Universe: M–Z
Characters_of_the_Marvel_Cinematic_Universe:_M–Z
Method for solving one problem using another
complete problems for other complexity classes, including the PSPACE-complete languages and EXPTIME-complete languages. Every decision problem in P (the
Polynomial-time_reduction
American actor (born 1970)
January 9, 2026. Retrieved January 8, 2026. "2024 SAG Awards: See the Complete Winners List". Vanity Fair. February 24, 2024. Retrieved September 19,
Matt_Damon
2015 studio album by New Order
Music Complete is the tenth studio album by English rock music band New Order. The album was released on September 25, 2016, by Mute Records; it was New
Music_Complete
Concept in mathematical logic
In logic, a functionally complete set of logical connectives or Boolean operators is one that can be used to express all possible truth tables by combining
Functional_completeness
Country in East Asia
Li 2024, p. 210. Zweig 2024, p. 299. Li 2024, p. 205. Fang 2020, p. xv. Joseph 2024a, p. 5. Ringen 2016, p. 3. Laikwan 2024, p. 1. Li 2024, p. 208. Joseph
China
Design feature of language
Complete feedback is one of Charles Hockett's 16 design features of language which states that speakers are able to hear what they are saying. Through
Complete_feedback
Property of subsets of ordered vector spaces
space is called order complete, Dedekind complete, a complete vector lattice, or a complete Riesz space, if it is order complete as a subset of itself
Order_complete
2007 video game
Lego Star Wars: The Complete Saga is a 2007 Lego-themed action-adventure video game based on the Lego Star Wars line of construction toys. The game was
Lego Star Wars: The Complete Saga
Lego_Star_Wars:_The_Complete_Saga
1977 single by the Clash
"Complete Control" is a song by the Clash, released as a 7" single and featured on the US release of their debut album. The song is a polemic on record
Complete_Control
Type of computational algorithm
non-full language in P is polynomial-time reducible to any other non-empty, non-full language in P, a log-space reduction from an NL-complete language to a language
Log-space_reduction
Model of computation
the output of a given Boolean circuit on a given input string — is a P-complete decision problem. Therefore, this problem is considered to be "inherently
Boolean_circuit
The complete works of an artist, writer, musician, group, etc., is a collection of all of their cultural works. For example, Complete Works of Shakespeare
Complete_works
Decidable first-order theory of the natural numbers with addition
counted as quantifiers. PA(1, j) is in P, while PA(1) is NP-complete. For i > 0 and j > 2, PA(i + 1, j) is ΣiP-complete. The hardness result only needs j>2
Presburger_arithmetic
2023 video game
new weapons and resources. P's appearance is customizable with outfits and masks found throughout the game. After completing the main story campaign, New
Lies_of_P
Set of books by G. E. Cokayne and others
The Complete Peerage (full title: The Complete Peerage of England, Scotland, Ireland, Great Britain, and the United Kingdom Extant, Extinct, or Dormant);
The_Complete_Peerage
American television sitcom
Complete Savages is an American sitcom that was broadcast on ABC from September 24, 2004, to June 17, 2005. It was part of ABC's first attempt to renew
Complete_Savages
Marvel Comics paperbacks that reprint entire runs
fit seamlessly next to one another on readers' bookshelves, presenting a complete and unbroken run of each title." The original announcement consisted of
Marvel_Epic_Collection
Concept in mathematical logic
In mathematical logic, a theory is complete if it is consistent and for every closed formula in the theory's language, either that formula or its negation
Complete_theory
1966 studio album by Don Cherry
Complete Communion at AllMusic. Retrieved June 12, 2012. Jost, Ekkehard (1994). Free Jazz. Da Capo. p. 141. Huey, Steve. "Don Cherry: The Complete Blue
Complete_Communion
American businessman and inventor (1955–2011)
Chronicle. p. A1. Archived from the original on August 18, 2006. Retrieved August 9, 2006. "Steve Jobs and the Celebrity Diagnosis Complete Guide to Tumors
Steve_Jobs
"LifeStance Health Group Set to Join S&P SmallCap 600" (PDF). April 27, 2026. Retrieved May 5, 2026. "ASGN completes rebrand to Everforth, debuts new ticker"
List_of_S&P_600_companies
a partial order can also be called consistently or coherently complete (Visser 2004, p. 182), since any upper bound of a set can be interpreted as some
Bounded_complete_poset
collapses further than Δ 2 P {\displaystyle \Delta _{2}^{P}} . (Fortune, 1979) showed that if any sparse language is co-NP-complete, then P = NP. (Mahaney, 1982)
Sparse_language
American maritime patrol aircraft
flight-test aircraft to be completed in 2009. On 30 March 2005, it was assigned the P-8A designation. The P-8 is to replace the P-3. Initially, it was equipped
Boeing_P-8_Poseidon
Characteristic of some logical systems
In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can
Completeness_(logic)
Office skyscraper in Manhattan, New York
Retrieved October 22, 2017. Tauranac 2014, p. 24. Fodor's 2010, p. 153. Langmead 2009, p. 73. "Complete National Film Registry Listing". National Film
Empire_State_Building
2023 live album box set by Bob Dylan
The Complete Budokan 1978 is a box set of 1978 live recordings by Bob Dylan, released on November 17, 2023, through Columbia Records and Legacy Recordings
The_Complete_Budokan_1978
Tree which includes all vertices of a graph
For a complete graph with n vertices, Cayley's formula gives the number of spanning trees as nn − 2. If G is the complete bipartite graph K p , q {\displaystyle
Spanning_tree
Geometric figure made of 4 points connected by 6 lines
specifically in incidence geometry and especially in projective geometry, a complete quadrangle is a system of geometric objects consisting of any four points
Complete_quadrangle
Book by Gustav Kobbé
The Complete Opera Book is a guide to operas by American music critic and author Gustav Kobbé first published (posthumously) in the United States in 1919
The_Complete_Opera_Book
Set of problems solved by small circuits
additional help. If P#P ⊆ P/poly then P#P = MA. The proof is similar to above, based on an interactive protocol for permanent and #P-completeness of permanent
P/poly
Computer science concept
augmented by an oracle for some complete problem in class A; the classes N P A {\displaystyle \mathrm {NP} ^{\rm {A}}} and c o N P A {\displaystyle \mathrm {coNP}
Polynomial_hierarchy
alternative models without complete mixing, such as cellular automata models and spatial game theory approaches. Wiegand, R.P.; Liles, W.C.; De Jong, K
Complete_mixing
English actor and filmmaker (1889–1977)
Revelations". Los Angeles Times. 7 May 1928. p. 18. Retrieved 26 May 2023 – via Newspapers.com. "Testimony Completed, Jury To Get Clark Case Tomorrow". Manti
Charlie_Chaplin
American singer (born 1946)
media related to P. P. Arnold. Official website P. P. Arnold at AllMusic P. P. Arnold discography at Discogs P. P. Arnold at IMDb P. P. Arnold at 45Cat
P._P._Arnold
Chinese biotechnology company
Complete Genomics is a life sciences company that has developed and commercialized a DNA sequencing platform for human genome sequencing and analysis.
Complete_Genomics
Mexican television sitcom (2002–2012)
comically dysfunctional family. La familia P. Luche, however, plays more like a live-action cartoon, complete with colorful sets and comic sound effects
La_familia_P._Luche
1995 greatest hits album by the Stone Roses
The Complete Stone Roses is a compilation of the first ten singles and selected B-sides by the English rock band the Stone Roses. It was released in 1995
The_Complete_Stone_Roses
Routine laboratory test of blood cells
A complete blood count (CBC), also known as a full blood count (FBC) or full haemogram (FHG), is a set of medical laboratory tests that provide information
Complete_blood_count
Partially ordered set in which all subsets have both a supremum and infimum
mathematics, a complete lattice is a partially ordered set in which all subsets have both a supremum (join) and an infimum (meet). A conditionally complete lattice
Complete_lattice
P COMPLETE
P COMPLETE
Surname or Lastname
English
English : habitational name from Skipton or Skipton-on-Swale in North Yorkshire. Both places are named with Old English scīp ‘sheep’ (with later change of ‘s’ to ‘sk’ under Scandinavian influence) + tūn ‘enclosure’, ‘settlement’.
Surname or Lastname
English
English : habitational name from any of the various places, for example in Dorset, Glloucestershire, Hampshire, Oxfordshire, and Shropshire, so called from Old English scēap, scīp ‘sheep’ + tūn ‘enclosure’, ‘settlement’.
Boy/Male
Indian
Deer name of a sahabi who p
Surname or Lastname
English
English : habitational name from any of the various places, for example in Derbyshire, County Durham, Northumberland, Shropshire, Sussex, and West Yorkshire, so called from Old English scēap, scīp ‘sheep’ + lēah ‘wood’, ‘clearing’.
Boy/Male
Muslim
Deer name of a sahabi who p
Surname or Lastname
English
English : topographic name for someone who lived on or by a strip of land, Old English strīp.
Surname or Lastname
English
English : variant of Cudlip(p), a habitational name from Cudlipptown in Petertavy, Devon.Americanized form of German Gottlieb.
Surname or Lastname
English (mainly southern)
English (mainly southern) : metonymic occupational name for a dancer, or a nickname for someone with an odd gait, from Middle English trip(p)(en) ‘to step lightly, skip, or hop’ (Old French triper).English : metonymic occupational name for a butcher or tripe dresser, from Middle English, Old French trip(p)e ‘tripe’ (of unknown origin).German : metonymic occupational name for a maker of wooden pattens (trippe), a type of raised sole that could be strapped to normal footwear for walking in unpaved muddy streets.
Surname or Lastname
Ukrainian, Jewish (from Ukraine), Polish, Serbian, and Hungarian (Cáp)
Ukrainian, Jewish (from Ukraine), Polish, Serbian, and Hungarian (Cáp) : from Ukrainian tsap ‘billy goat’, Polish cap, and so probably a nickname for someone thought to resemble the animal in some way or perhaps a metonymic occupational name for a goat herd.Czech (Čáp) : nickname for a tall or long-legged man, from Äáp ‘stork’.Southern French : from Occitan cap ‘head’ (Latin caput); probably a nickname for a person with something distinctive about his head. The word was often used in the metaphorical sense ‘chief’, ‘principal’, and the surname may also have denoted a leader or a village elder. In some cases it may also be a topographic name from the same word used in the sense of a promontory or headland.Americanized spelling of German Kapp.English : variant spelling of Capp.
Girl/Female
Australian, British, Danish, English, German
Mistress of All; Power of the Home; World Ruler; P
Surname or Lastname
English
English : habitational name from Patmore in Hertfordshire, which appears in Domesday Book as Patemere, from an Old English personal name P(e)atta + Old English mere ‘lake’, ‘pool’.
Surname or Lastname
English
English : occupational name for a carrier, from Middle English sum(p)ter ‘(driver of a) pack animal’.
Male
Hungarian
Hungarian form of English Philip, FÜLÖP means "lover of horses."
Surname or Lastname
English
English : from a personal name, Old English SnÄ«p or Old Norse SnÃpr.English : habitational name from a place so called in former Northumberland.
Female
English
Pet form of English Peg, PEGGY means "pearl." It is a variant spelling of Meggie, the pet form of Meg. The reason for the change from "M" to "P," which also occurs in Molly and Polly, is not known.
Surname or Lastname
French
French : from a pet form of the personal name P(i)erre, French form of Peter.English (Bristol) : variant of Parrott
Surname or Lastname
English
English : topographic name from Middle English slape ‘slippery, miry place’, or a habitational name from any of the places named with this word (Old English slǣp), as for example Slape in Dorset or Sleap in Shropshire.
Surname or Lastname
English
English : habitational name, perhaps from Lepton in West Yorkshire, which is named from Old English hlēp ‘leap’ (hence ‘cliff’, ‘steep slope’) + tūn ‘enclosure’, ‘settlement’.English : probably a variant of Leverton.
Surname or Lastname
English, Dutch, and Jewish
English, Dutch, and Jewish : variant of Samson. The -p- was introduced in the Greek transliteration of the Hebrew name Shimshon. The English surname has also long been established in Ireland.
Surname or Lastname
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English
Americanized spelling of Swedish Ap(p)elberg, an ornamental name composed of the elements apel ‘apple tree’ + berg ‘mountain’.English : the surname Applebury is recorded in England in the 19th century, perhaps a habitational name from a lost place.
P COMPLETE
P COMPLETE
Girl/Female
Indian
Light Ray of Moon
Boy/Male
American, British, English, French, Scandinavian
Godly Protection
Boy/Male
Muslim
Protector, Patron, Supporter, Defender
Girl/Female
Australian, German, Swedish
A Man; Free Man; Carol; Female Version of Charles
Girl/Female
Hindu, Indian
Light
Boy/Male
Hindu
Lord Ganesh
Girl/Female
Hindu, Indian
She who is without Agitation
Girl/Female
Australian, Portuguese
Song; Truthful; Poetry; Sorrows
Boy/Male
British, English, French
Garden
Boy/Male
Hebrew
Destroyer.
P COMPLETE
P COMPLETE
P COMPLETE
P COMPLETE
P COMPLETE