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Subset of a graph's nodes such that all other nodes link to at least one
graph classes. Dominating sets are of practical interest in several areas. In wireless networking, dominating sets are used to find efficient routes within
Dominating_set
Mathematical concept in graph theory
In graph theory, an efficient dominating set (also called an e.d. set or independent perfect dominating set) is a dominating set with the additional property
Efficient_dominating_set
Argentine-born American mathematician
worst-case efficient dominating sets in digraphs are conceived so that their presence in certain strong digraphs corresponds to that of efficient dominating sets
Italo_Jose_Dejter
them important examples in the study of domination in graphs. An efficient dominating set is also known as a 1-perfect code. S ( n , 1 ) {\displaystyle S(n
Sierpiński_graph
Dominating set that induces a connected subgraph
all connected dominating sets of G. The connected domination number of G is the number of vertices in the minimum connected dominating set. Any spanning
Connected_dominating_set
Set preferred to any other by a majority
the set is known as a dominating set. Thus the Smith set is also called the smallest dominating set. The Schwartz set is equivalent to the Smith set, except
Smith_set
Set of all Pareto efficient situations
Pareto front (also called Pareto frontier or Pareto curve) is the set of all Pareto efficient solutions. Colloquially, this means when there are many distinct
Pareto_front
Weakly optimal allocation of resources
context of efficiency in production vs. x-inefficiency: a set of outputs of goods is Pareto efficient if there is no feasible re-allocation of productive inputs
Pareto_efficiency
Generalization of dominating sets using fractional weights
{\displaystyle v} . Not all graphs admit efficient fractional dominating functions. A fractional total dominating function requires that for every vertex
Fractional_dominating_set
Mathematical concept
efficient set can be specified by choosing the portfolio shares to maximize the function μ P − b σ P {\displaystyle \mu _{P}-b\sigma _{P}} ; the set of
Multi-objective_optimization
Classical problem in combinatorics
{\displaystyle k} sets to cover as many elements as possible. Dominating set is the problem of selecting a set of vertices (the dominating set) in a graph such
Set_cover_problem
When every path in a control-flow graph must go through one node to reach another
is an efficient method of computing control dependence, which is critical to the analysis. Memory usage analysis can benefit from the dominator tree to
Dominator_(graph_theory)
Independent set which is not a subset of any other independent set
set {a, c}. In this same graph, the maximal cliques are the sets {a, b} and {b, c}. A MIS is also a dominating set in the graph, and every dominating
Maximal_independent_set
2016 film by Tim Miller
got us to a place where Fox was willing to make it. The script was very efficient and not too long. That was a function of budget more than anything, but
Deadpool_(film)
Quality of a strategy in game theory
Therefore, we can say "B dominates A" to mean "B weakly dominates A".) B is weakly dominated by A: there is at least one set of opponents' actions for
Strategic_dominance
How many of a graph's edges must be removed to increase domination number
considers total dominating sets (where every vertex in the dominating set must also be adjacent to another vertex in the dominating set). The Roman bondage
Bondage_number
Type of fair division
Given a set of resources and a set of agents, the goal is to divide the resources among the agents in a way that is both Pareto efficient (PE) and envy-free
Efficient_envy-free_division
Processor executing one instruction in minimal clock cycles
expressed as follows: A RISC processor has an instruction set that is designed for efficient execution by a pipelined processor and for code generation
Reduced instruction set computer
Reduced_instruction_set_computer
is called Pareto-efficient (PO) if it is not Pareto-dominated by any discrete allocation; it is called fractionally Pareto-efficient (fPO) if it is not
Fractional_Pareto_efficiency
Indian computer scientist (born 1965)
Guha designed an approximation algorithms for the minimum connected dominating set problem that achieves a factor of 2 ln Δ + O(1), where Δ is the maximum
Samir_Khuller
Method for speeding related binary searches
answered efficiently in terms of the intersection size h. One structure that can be used for this purpose is the convex layers of the input point set, a family
Fractional_cascading
Complexity class of approximable problems
problems that can be approximated efficiently to within a factor logarithmic in the input size, includes min dominating set when degree is unbounded. Poly-APX-complete
APX
G {\displaystyle G} such that the dominating number γ ( G ) {\displaystyle \gamma (G)} equals the eternal dominating number γ {\displaystyle \gamma } ∞
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
item (EQ1). The problem of efficient approximately fair item allocation is to find an allocation that is both Pareto-efficient (PE) and satisfies one of
Efficient approximately fair item allocation
Efficient_approximately_fair_item_allocation
Unrelated vertices in graphs
another independent set is called maximal. Such sets are dominating sets. Every graph contains at most 3n/3 maximal independent sets, but many graphs have
Independent set (graph theory)
Independent_set_(graph_theory)
point set to one of maintaining the maximal points of a dynamic two-dimensional point set. The two-dimensional subproblem can be solved efficiently by using
Maxima_of_a_point_set
Energy-efficient landscaping is a type of landscaping designed for the purpose of conserving energy. There is a distinction between the embedded energy
Energy-efficient_landscaping
whose entries alternate in a prescribed way. In particular, if the vertex set of the graph is V, one should be able to choose a word w over the alphabet
Word-representable_graph
Graph without four-vertex star subgraphs
reaches a dominating set no larger than D {\displaystyle D} , so in particular when the starting set D {\displaystyle D} is a minimum dominating set this process
Claw-free_graph
to x {\displaystyle x} . Via dominating pairs and the spine property. Every connected AT-free graph contains a dominating pair, a pair of vertices ( u
Asteroidal_triple-free_graph
Algorithm that arranges lists in order
lexicographical order, and either ascending order or descending order. Efficient sorting is important for optimizing the efficiency of other algorithms
Sorting_algorithm
Set of edges without common vertices
matching with k edges is an edge dominating set with k edges. Conversely, if we are given a minimum edge dominating set with k edges, we can construct a
Matching_(graph_theory)
Similar division problem in economics and computer science
Efficient cake-cutting is a problem in economics and computer science. It involves a heterogeneous resource, such as a cake with different toppings or
Efficient_cake-cutting
Property of an intermediate representation in a compiler
the set of block-local variables is a simpler and faster procedure than full live-variable analysis, making semi-pruned SSA form more efficient to compute
Static_single-assignment_form
1999 film by Ulu Grosbard
is brilliant as an anxious mother consumed with finding her lost son. Dominating scene after scene, she conveys anguish and guilt in an all-out performance
The Deep End of the Ocean (film)
The_Deep_End_of_the_Ocean_(film)
Electronic circuit with two stable states
using two single-edge triggered D-type flip-flops and three XOR gates. An efficient functional alternative to a D flip-flop can be made with dynamic circuits
Flip-flop_(electronics)
Electric light that produces light using LEDs
lamps are significantly more energy-efficient than equivalent incandescent lamps and fluorescent lamps. The most efficient commercially available LED lamps
LED_lamp
Colombian footballer (born 1991)
later against Cameroon, Rodríguez both provided and scored a goal in a dominating 4–0 victory. For the last qualification match of the 2018 World Cup, Rodríguez
James_Rodríguez
Contract Act
which means something in return. 6. Agreement 2(e): Every promise and every set of promises forming the consideration for each other. 7. Reciprocal Promises
Indian_Contract_Act,_1872
Generalization of tree graphs to hypergraphs
Andreas; Leitert, Arne; Rautenbach, Dieter (2012), "Efficient dominating and edge dominating sets for graphs and hypergraphs", Algorithms and Computation:
Hypertree
Complete, full information, perfectly competitive markets are Pareto efficient
allocatively and productively efficient, which can be shown to follow from perfectly competitive factor and production markets. Given a set G {\displaystyle G}
Fundamental theorems of welfare economics
Fundamental_theorems_of_welfare_economics
Nigerian-Greek basketball player (born 1994)
close loss to the Dallas Mavericks, despite Antetokounmpo recording an efficient 48 points and 14 rebounds. On December 19, Antetokounmpo made a career-high
Giannis_Antetokounmpo
Operations research that evaluates multiple conflicting criteria in decision making
small set of good alternatives, or grouping alternatives into different preference sets. An extreme interpretation could be to find all "efficient" or "nondominated"
Multiple-criteria decision analysis
Multiple-criteria_decision_analysis
Rajmohan Rajaraman, Torsten Suel, "An efficient distributed algorithm for constructing small dominating sets" Distributed Computing 15(3) pp. 193–205
Torsten_Suel
Sequence of operations for a task
and the decorator pattern. An important aspect of algorithm design is efficient use of resources such as memory or time; the big O notation is used to
Algorithm
Republican Primary". co/efficient. March 27, 2026. Retrieved March 27, 2026. "South Carolina 2026 Republican Primary". co/efficient. March 17, 2026. Retrieved
2026 South Carolina gubernatorial election
2026_South_Carolina_gubernatorial_election
Fuel economy standards in the U.S.
EPA and NHTSA was named the Safer Affordable Fuel-Efficient (SAFE) Vehicle Rules. It aimed to set new CAFE standards for MY 2022–2026 passenger car and
Corporate average fuel economy
Corporate_average_fuel_economy
Large language model by Meta AI
training data, rather than the number of parameters, reasoning that the dominating cost for LLMs is from doing inference on the trained model rather than
Llama_(language_model)
graphs. Edge dominating set, dominating set, r-dominating set, connected dominating set, r-scattered set, minimum maximal matching, independent set, maximum
Bidimensionality
Class of theorems about Nash equilibrium payoff profiles in repeated games
then it is Pareto efficient and weakly-coalition-individually-rational. On the other hand, if it is Pareto efficient and strongly-coalition-individually-rational
Folk_theorem_(game_theory)
Chinese computer scientist
multiprocessors, local construction of connected dominating set and its applications in mobile ad hoc networks, and efficient routing in delay tolerant networks, including
Jie_Wu
Fictional universe created by Isaac Asimov
knowledge" that will enable society to revive itself more quickly and efficiently. The Seldon Plan is Seldon's great work intended to achieve this goal
Foundation_universe
Simulation of the sense of smell
backtrack then move in another random direction. This method is simple and efficient, however, the length of the path is highly variable and missteps increase
Machine_olfaction
Game where groups of players may enforce cooperative behaviour
\varepsilon } that makes the set non-empty (Bilbao 2000). The Shapley value is the unique payoff vector that is efficient, symmetric, and satisfies monotonicity
Cooperative_game_theory
2025 film by James Cameron
said that Chaplin was able to express Varang's fury, sexuality, and "dominating psychology" better than other candidates for the role. In January 2018
Avatar:_Fire_and_Ash
Type of algorithm
solution, the problem is W[2]-hard (due to a folklore reduction from the Dominating Set problem). Steiner Tree is also known to be APX-hard. However, there
Parameterized approximation algorithm
Parameterized_approximation_algorithm
Concept in sociology
calculating efficient system. But now such religious views are no longer needed to sustain capitalism. Moreover, the systematic efficient calculations
Iron_cage
2010 American crime thriller film directed by Ben Affleck
"That sequence, like most of the other action set pieces in the film, is lean, brutal, and efficient, and evidence of Mr. Affleck's skill and self-confidence
The_Town_(2010_film)
2019 film by Lee Byeong-heon
survived 12 stab wounds. Lee Hanee as Detective Jang The team's not-always-efficient problem solver. Nicknamed Jang-Bak (from Ong Bak) due to having been a
Extreme_Job
Family of instruction set architectures
to the CPU's native VLIW instruction set. Transmeta argued that their approach allows for more power efficient designs since the CPU can forgo the complicated
X86
2010 American horror film by Breck Eisner
3½ stars of 4, adding he "greatly prefer this cleverly sustained and efficiently relentless remake to the '73 edition. It is lean and simple." Eric M
The_Crazies_(2010_film)
1947 film by Michael Curtiz
benevolent but curmudgeonly patriarch who strives to manage his household as efficiently as his Wall Street office to no success. He is married to Vinnie, who
Life_with_Father_(film)
French footballer (born 1991)
shots—Kanté is also capable of playmaking from inside his own half and is an efficient passer on the counter-attack, helping kick start attacking plays immediately
N'Golo_Kanté
American entrepreneur and venture capitalist (born 1967)
still prioritize democratic decision-making, even at the risk of less efficient outcomes. In his book L'Empire de l'ombre, Da Empoli echoes the sentiment
Peter_Thiel
Property in graph theory
algorithms that are efficient for sparse graphs with suitably small input parameter values. In particular, finding a dominating set of size k, on t-biclique-free
Biclique-free_graph
2018 film by Leigh Whannell
give up control of his body, allowing STEM to turn Grey into a lethally efficient fighting machine, killing Serk with little effort. Cortez later sees drone
Upgrade_(film)
Standard example in game theory
from a self-interested standpoint, this Nash equilibrium is not Pareto efficient. The structure of the traditional prisoner's dilemma can be generalized
Prisoner's_dilemma
Graph whose maximal clique hypergraph is a hypertree
Andreas; Leitert, Arne; Rautenbach, Dieter (2012), "Efficient dominating and edge dominating sets for graphs and hypergraphs", in Chao, Kun-Mao; Hsu,
Dually_chordal_graph
8-speed automatic from 2008
March 2014. Retrieved 7 July 2019. 2nd generation and 3rd generation "Efficient And Dynamic · ZF Gearbox Brochure" (PDF). 1 September 2017. Archived from
ZF_8HP_transmission
Recursive integer sequence
was the start of a dominating circular shift before anything was removed. For example, consider XXYXY. This sequence is dominating, but none of its circular
Catalan_number
2003 novel by Marshall Brain
point of slavery, while humans in the utopian society more directly and efficiently participate in the management of the society as a whole and most or all
Manna_(novel)
Pairing where no unchosen pair prefers each other over their choice
structure of a finite distributive lattice, and this structure leads to efficient algorithms for several problems on stable marriages. In a uniformly-random
Stable_matching_problem
Computer program for the Boolean satisfiability problem
algorithms with exponential worst-case complexity are known. In spite of this, efficient and scalable algorithms for SAT were developed during the 2000s, which
SAT_solver
Brazilian kickboxer and mixed martial artist (born 1987)
kicks to slow his opponents down and set up power shots. While his pace isn’t particularly high, he’s extremely efficient—many of his strikes are thrown with
Alex_Pereira
Method for recursively subdividing a space into two subsets using hyperplanes
potentially visible sets to accelerate visible surface determination in orthogonal 2D environments. 1991 Gordon and Chen described an efficient method of performing
Binary_space_partitioning
2016 film by Fede Álvarez
August 24, 2016. Retrieved August 27, 2016. "Don't Breathe is a ruthlessly efficient, claustrophobic terror machine". theverge.com. August 25, 2016. Retrieved
Don't_Breathe
was announced immediately after the conclusion of the second season. It is set to premiere in October 2027. Official English title, per Crunchyroll's home
List_of_Frieren_episodes
Non-parametric classification method
Sridhar; Rastogi, Rajeev; Shim, Kyuseok (2000). "Efficient algorithms for mining outliers from large data sets". Proceedings of the 2000 ACM SIGMOD international
K-nearest_neighbors_algorithm
Annual conference series on algorithms
ESA 1994 Sudipto Guha, Samir Khuller: Approximation Algorithms for Connected Dominating Sets. In ESA 1996 Jan van Leeuwen, Kurt Mehlhorn, Mike Paterson
European Symposium on Algorithms
European_Symposium_on_Algorithms
Analog of Pareto efficiency for situations with incomplete information
information. Under Pareto efficiency, an allocation of a resource is Pareto efficient if there is no other allocation of that resource that makes no one worse
Bayesian_efficiency
Hybrid electric car by Honda
Honda's first model with Integrated Motor Assist system and the most fuel efficient gasoline-powered car available in the U.S. without plug-in capability
Honda_Insight
Search algorithm
use the best-first strategy. This can potentially make them more time-efficient, but typically at a heavy cost in space-efficiency. Minimax Expectiminimax
Alpha–beta_pruning
First President of Botswana (1921–1980)
enmity and corruption. The small public service was transformed into an efficient and relatively corruption-free bureaucracy with workers hired based on
Seretse_Khama
Machine learning technique
Graph Attention Networks. ICLR. Kitaev, Nikita (2020). Reformer: The Efficient Transformer. ICLR. arXiv:2001.04451. Wang, Salah (2020). Linformer: Self-Attention
Attention_(machine_learning)
2023 film by Jonathan Glazer
the phone that he spent his time at the party thinking about the most efficient way to gas the attendees. As Höss leaves his Berlin office and descends
The_Zone_of_Interest_(film)
Financial term for a collection of investments
A, A is a Pareto-optimal portfolio. The set of Pareto-optimal returns and risks is called the Pareto efficient frontier for the Markowitz portfolio selection
Portfolio_(finance)
Type of fan mounted to a ceiling horizontally
, Usha, Crompton, and Bajaj dominate the market, but newer players have also emerged in the budget and energy-efficient segments. In 1973, Texas entrepreneur
Ceiling_fan
direct his troops more efficiently. The Kasbah is still visible to this day, located about 7 kilometers from the city center. He then set up a siege that lasted
Fall_of_Agadir
Season of television series
October 1, 2025. Pucci, Douglas (October 8, 2025). "Sunday Ratings: FS1 Dominates Cable in Prime Time with MLB Postseason". Programming Insider. Retrieved
Bob's_Burgers_season_16
Algorithms which recursively solve subproblems
used in some efficient FFT implementations, where the base cases are unrolled implementations of divide-and-conquer FFT algorithms for a set of fixed sizes
Divide-and-conquer_algorithm
City in California, United States
vapor street lamps. In 1978, the city decided to replace them with more efficient sodium vapor lamps. This triggered an outcry from astronomers at Palomar
San_Diego
Solution concept of a non-cooperative game
communication. In fact, strong Nash equilibrium has to be weakly Pareto efficient. As a result of these requirements, strong Nash is too rare to be useful
Nash_equilibrium
Large U.S. film companies
enjoy "significant internal economies of scale" from their "extensive and efficient [distribution] infrastructure," while it is "nearly impossible" for a
Major_film_studios
2023 South Korean film
some called it 'crazy over crazy,' Kim Seon-ho's 'The Childe' is now dominating the R-rated box office alone.]. Newsen. "KOBIZ - Korean Film Biz Zone :
The_Childe
Ethnic cleansing of Palestinians
partitioning of post-Mandate Palestine neutralized the Arab Legion, Jordan's efficient, British-led army, which confined its activity to the area around Jerusalem
Nakba
Structuring text as input to generative artificial intelligence
what to draw. Heikkilä, Melissa (September 16, 2022). "This Artist Is Dominating AI-Generated Art and He's Not Happy About It". MIT Technology Review.
Prompt_engineering
Study of mathematical algorithms for optimization problems
to be "Pareto optimal" (equivalently, "Pareto efficient" or in the Pareto set) if it is not dominated by any other design: If it is worse than another
Mathematical_optimization
Combinatorial optimization problem
Jurij; Robič, Borut (2005). "Solving the k-center Problem Efficiently with a Dominating Set Algorithm". Journal of Computing and Information Technology
Metric_k-center
North America basketball championship
they missed 20 of their first 22 three-point attempts; however, Jokic's efficient 12 of 16 shooting from the field provided a much-needed boost, as he was
2023_NBA_Finals
System that transfers heat from one space to another
outdoors. As it transfers rather than generates heat, it is more energy-efficient than heating by gas boiler. In a typical vapor-compression heat pump,
Heat_pump
EFFICIENT DOMINATING-SET
EFFICIENT DOMINATING-SET
Girl/Female
Tamil
Cleverness, Honesty, Brilliance, Efficient
Boy/Male
Indian, Punjabi, Sikh
Intelligent; Efficient
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Agile; Efficient
Boy/Male
Hindu
Cleverness, Honesty, Brilliance, Efficient
Girl/Female
Hindu
Durga, Agile, Efficient, Swift
Boy/Male
Tamil
Cleverness, Honesty, Brilliance, Efficient
Boy/Male
Hindu
An efficient horse rider
Boy/Male
Hindu
Efficient, Capable
Boy/Male
Hindu
Skilfull and efficient Lord
Girl/Female
Tamil
Durga, Agile, Efficient, Swift
Boy/Male
Hindu, Indian, Marathi
An Efficient Architect
Girl/Female
Indian
Cleverness, Honesty, Brilliance, Efficient
Boy/Male
Indian, Sanskrit
Skillful; Efficient
Girl/Female
Gujarati, Indian
Efficient
Girl/Female
Arabic
Efficient
Boy/Male
Tamil
Vishwadakshinah | விஷà¯à®µà®¾à®¤à®•à¯à®·à¯€à®¨à®¾à®¹
Skilfull and efficient Lord
Vishwadakshinah | விஷà¯à®µà®¾à®¤à®•à¯à®·à¯€à®¨à®¾à®¹
Boy/Male
Tamil
An efficient horse rider
Girl/Female
Hindu, Indian, Marathi, Sanskrit
Effective; Efficient; Goddess Durga
Boy/Male
Tamil
Rahulraj | ராஹà¯à®²à®°à®¾à®œ
Efficient, Capable
Rahulraj | ராஹà¯à®²à®°à®¾à®œ
Boy/Male
Hindu, Indian, Punjabi, Sikh
Capable; Skilful; Efficient
EFFICIENT DOMINATING-SET
EFFICIENT DOMINATING-SET
Boy/Male
Hindu, Indian, Kannada, Telugu
Truthful
Girl/Female
Indian
Branches tree
Girl/Female
Hindu
Rays
Girl/Female
Australian, Irish
Mainland
Male
Spanish
Spanish form of Latin Leo, LEÓN means "lion."
Girl/Female
Muslim/Islamic
Daughter of the Prophet (S.A.W)
Boy/Male
African, American, Australian, British, Chinese, Danish, Dutch, English, French, German, Greek, Irish, Jamaican, Latin, Slovenia, Swedish, Swiss
Brave; Of a Man; Warrior; Masculine; Manly
Boy/Male
Celebrity, Hindu, Indian, Tamil
King of the Serpents
Boy/Male
Sikh
Meditation in congregation
Boy/Male
Tamil
Shyamsunder | à®·à¯à®¯à®¾à®®à®¸à¯à®‚தர
Lord Krishna
EFFICIENT DOMINATING-SET
EFFICIENT DOMINATING-SET
EFFICIENT DOMINATING-SET
EFFICIENT DOMINATING-SET
EFFICIENT DOMINATING-SET
n.
The act of ominating; presaging.
n.
Alt. of Efficiency
n.
A number, commonly used in computation as a factor, expressing the amount of some change or effect under certain fixed conditions as to temperature, length, volume, etc.; as, the coefficient of expansion; the coefficient of friction.
n.
The quality of being efficient or producing an effect or effects; efficient power; effectual agency.
a.
Self-sufficient; self-satisfied; content.
v. i.
Efficient; vigorous; brilliant.
p. pr. & vb. n.
of Dominate
n.
An efficient cause; a prime mover.
a.
Wanting, to make up completeness; wanting, as regards a requirement; not sufficient; inadequate; defective; imperfect; incomplete; lacking; as, deficient parts; deficient estate; deficient strength; deficient in judgment.
a.
Not efficient; not producing the effect intended or desired; inefficacious; as, inefficient means or measures.
n.
A supposed high order of angels; dominations. See Domination, 3.
a.
Strong; powerful; efficient.
n.
The act of dominating; exercise of power in ruling; dominion; supremacy; authority; often, arbitrary or insolent sway.
n.
Causing effects; producing results; that makes the effect to be what it is; actively operative; not inactive, slack, or incapable; characterized by energetic and useful activity; as, an efficient officer, power.
a.
Making or doing throughly; efficient; effectual.
n.
A dominating power.
a.
Equal to the end proposed; adequate to wants; enough; ample; competent; as, provision sufficient for the family; an army sufficient to defend the country.
a.
Ruminant; ruminating.
a.
Incapable of, or indisposed to, effective action; habitually slack or remiss; effecting little or nothing; as, inefficient workmen; an inefficient administrator.
a.
Sufficient for one's self without external aid or cooperation.