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Dominating set that induces a connected subgraph
connected dominating set and a maximum leaf spanning tree are two closely related structures defined on an undirected graph. A connected dominating set
Connected_dominating_set
Subset of a graph's nodes such that all other nodes link to at least one
Dominating sets are closely related to independent sets: an independent set is also a dominating set if and only if it is a maximal independent set,
Dominating_set
Object in graph theory
the eternal independent set problem, eternal total dominating sets, eternal connected dominating sets, and eternal dominating sets in the eviction model
Eternal_dominating_set
Indian computer scientist (born 1965)
and 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
Samir_Khuller
American computer scientist
Combinatorial Group Testing and Its Applications (2nd Edition). Connected Dominating Set: Theory and Applications. Design and Analysis of Approximation
Ding-Zhu_Du
Type of dominating set in graph theory
In graph theory, a Roman dominating set (RDS) is a special type of dominating set inspired by historical military defense strategies of the Roman Empire
Roman_dominating_set
variants include the connected dominating set problem and the maximum leaf spanning tree problem. Feedback vertex set Feedback arc set Graph coloring Graph
List_of_NP-complete_problems
Chinese computer scientist
routing in hypercube-based multiprocessors, local construction of connected dominating set and its applications in mobile ad hoc networks, and efficient routing
Jie_Wu
independent dominating set for a graph G = ( V , E ) {\displaystyle G=(V,E)} is a subset D ⊆ V {\displaystyle D\subseteq V} that is both a dominating set and
Independent_dominating_set
Mathematical concept in graph theory
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
certified dominating set of a graph is a type of dominating set in which every vertex in the set has either zero or at least two neighbours outside the set. The
Certified_dominating_set
Set in graph theory
In graph theory, a paired dominating set of a graph G = ( V , E ) {\displaystyle G=(V,E)} is a dominating set S {\displaystyle S} of vertices such that
Paired_dominating_set
Dominating set that dominates both a graph and its complement
{\displaystyle S} . A dominating set S {\displaystyle S} is called a global dominating set (or g.d. set) if S {\displaystyle S} is also a dominating set of the complement
Global_dominating_set
Graph without four-vertex star subgraphs
general classes of graphs, finding the minimum dominating set or the minimum connected dominating set in a claw-free graph is fixed-parameter tractable:
Claw-free_graph
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
also independent sets) and connected dominating sets (dominating sets that induced connected subgraphs). A single-vertex dominating set may also be called
Glossary_of_graph_theory
over all independent sets A {\displaystyle A} of G {\displaystyle G} , of the smallest set dominating A {\displaystyle A} . Dominating subsets of vertices
Independence_dominating_set
Class of routing protocols
2009). "Mobile Ad Hoc Network (MANET) Extension of OSPF Using Connected Dominating Set (CDS) Flooding". doi:10.17487/RFC5614. {{cite journal}}: Cite journal
Link-state_routing_protocol
Proposition on the domination number of Cartesian products of graphs
and states that, if γ(G) denotes the minimum number of vertices in a dominating set for the graph G, then γ ( G ◻ H ) ≥ γ ( G ) γ ( H ) . {\displaystyle
Vizing's_conjecture
Intersection graph of a chord diagram
graphs. These include the minimum dominating set, minimum connected dominating set, and minimum total dominating set problems. The chromatic number of
Circle_graph
joining them is a dominating set in the graph. Furthermore, some dominating pair achieves the diameter of the graph. Every connected AT-free graph has
Asteroidal_triple-free_graph
Mathematical graph relating to chess
chessboard. Dominating sets represent arrangements of queens where every square is attacked or occupied by a queen; five queens, but no fewer, can dominate the
Queen's_graph
IP routing protocol optimized for mobile ad hoc networks
(August 2009). Mobile Ad Hoc Network (MANET) Extension of OSPF Using Connected Dominating Set (CDS) Flooding. IETF. doi:10.17487/RFC5614. RFC 5614. Retrieved
Optimized Link State Routing Protocol
Optimized_Link_State_Routing_Protocol
Computer network not fully connected by cables
Wang, Nannan; Wang, Guanghui; Yu, Dongxiao (1 January 2013). "Connected dominating sets in wireless ad hoc and sensor networks – A comprehensive survey"
Wireless_network
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
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
graphs. Edge dominating set, dominating set, r-dominating set, connected dominating set, r-scattered set, minimum maximal matching, independent set, maximum
Bidimensionality
Complete bipartite cut in a graph
graphs. Rao (2008) also presents algorithms for connected dominating sets, complete dominating sets, and graph coloring. These methods can lead to polynomial
Split_(graph_theory)
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)
Graph whose induced subgraphs preserve distance
distance-hereditary graphs. As D'Atri & Moscarini (1988) show, a minimum connected dominating set (or equivalently a spanning tree with the maximum possible number
Distance-hereditary_graph
Minimum spanning forest algorithm that greedily adds edges
graph is connected, the forest has a single component and forms a minimum spanning tree. The following code is implemented with a disjoint-set data structure
Kruskal's_algorithm
2021 animated film by Mike Rianda
planned for theatrical release by Sony Pictures Releasing under the title Connected in 2020. Due to the impact of the COVID-19 pandemic on theaters, Sony
The Mitchells vs. the Machines
The_Mitchells_vs._the_Machines
Computing technique
Spanning Tree (Change in Tx Range) Reduced network topology via Connected Dominating Set (Select a subset of nodes that cover all the network and turn off
Topology_control
Mathematical graph relating to chess
bishops that can form an independent dominating set. By contrast, a total domination set, which is a dominating set for which every square, including those
Bishop's_graph
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, Tsan-sheng;
Dually_chordal_graph
Mathematical property of subsets in order theory
that dominates a {\displaystyle a} (formally, a ≤ b {\displaystyle a\leq b} ). Cofinal subsets are very important in the theory of directed sets and nets
Cofinal_(mathematics)
Vertex adjacent to all others in a graph
vertices of the graph. It may also be called a dominating vertex, as it forms a one-element dominating set in the graph. A graph that contains a universal
Universal_vertex
States on August 19, 2009. It is a set of 147 cards. Its symbol is two connected upside-down triangles. This set contains Frontier Brain Pokémon ("Pokémon
List of Pokémon Trading Card Game sets
List_of_Pokémon_Trading_Card_Game_sets
89th season in franchise history
that dropped the Rams to 1-2. Los Angeles built a 16-0 halftime lead, dominating on both sides of the ball. Tight end Tyler Higbee caught a 5-yard TD pass
2026_Los_Angeles_Rams_season
Maximum size of an independent set of the matroid
truthful mechanism called Prioritized Egalitarian, that outputs a Lorenz dominating allocation, which is consequently also EFX0, maximizes the product of
Matroid_rank
simply connected semisimple algebraic group over a perfect field of cohomological dimension at most 2 {\displaystyle 2} , then the Galois cohomology set H
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
2002 video game
Set Radio Future is a 2002 action game developed by Smilebit and published by Sega for the Xbox. It is the sequel to the 2000 Dreamcast game Jet Set Radio
Jet_Set_Radio_Future
Internet-like structure connecting everyday physical objects
misnomer because most devices do not need to be connected to the public Internet; they only need to be connected to a network and be individually addressable
Internet_of_things
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
Approach to quantum gravity using discrete spacetime
notion of a geodesic between two causal set elements, provided they are order comparable, that is, causally connected (physically, this means they are time-like)
Causal_sets
Electronic circuit with two stable states
outputs are connected. We now break the symmetry by choosing which of the remaining control inputs will be our set and reset and we can call set NOR the NOR
Flip-flop_(electronics)
Well-quasi-ordering of finite trees
mathematics, Kruskal's tree theorem states that the set of finite trees over a well-quasi-ordered set of labels is itself well-quasi-ordered under homeomorphic
Kruskal's_tree_theorem
Graph of chess rook moves
is the minimum cardinality among all dominating sets. On the rook's graph a set of vertices is a dominating set if and only if their corresponding squares
Rook's_graph
Increasing worldwide interdependence
of globalization argue that it harms the diversity of cultures. As a dominating country's culture is introduced into a receiving country through globalization
Globalization
Daily falling of the Sun below the horizon
summer solstice of June 21. This date depends on the viewer's latitude (connected with the Earth's slower movement around the aphelion around July 4). Likewise
Sunset
English conspiracy theorist (born 1952)
improvisational millennialism as an "act of bricolage": because everything is connected in the conspiracist world view, every source can be mined for links. Barkun
David_Icke
Type of feedforward neural network
weights over fewer connections. For example, for each neuron in the fully-connected layer, 10,000 weights would be required for processing an image sized
Convolutional_neural_network
Indian business family and Philanthropic arm
The Birla family is an Indian business family connected with the industrial and social history of India. The Birla family's origins trace to the Maheshwari
Birla_family
Argentine-born American mathematician
relations of this subject with square-blocking subsets and with perfect dominating sets (see below) in hypercubes were addressed by Dejter et al. since 1991
Italo_Jose_Dejter
This is a list of fictional stories that, when composed, were set in the future, but the future they predicted is now present or past. The list excludes
List of stories set in a future now in the past
List_of_stories_set_in_a_future_now_in_the_past
Type of feedforward neural network
(MLP) is a kind of modern feedforward neural network consisting of fully connected neurons with nonlinear activation functions, organized in layers, notable
Multilayer_perceptron
Erotic roleplay involving the submission of one person to another
both parties take pleasure or erotic enjoyment from either dominating or being dominated. Those who take the superior position are called dominants—Doms
Dominance_and_submission
2019 South Korean film by Lee Won-tae
for revenge while Tae-suk wants to arrest him in order to solve five connected murder cases and eventually get promoted. Meanwhile, Dong-soo orders his
The Gangster, the Cop, the Devil
The_Gangster,_the_Cop,_the_Devil
Global system of connected computer networks
Department at the University of Utah. By the end of 1971, 15 sites were connected to the young ARPANET, mainly in metropolitan areas of Los Angeles, San
Internet
Machine learning technique
queries, while matrices K , V {\displaystyle K,V} jointly contain an unordered set of n {\displaystyle n} key-value pairs. Value vectors in matrix V {\displaystyle
Attention_(machine_learning)
2016 film by Tim Miller
They settled on a "modern" Deadpool story as well as the origin story connected by Deadpool's narration and fourth wall breaking. This helped to balance
Deadpool_(film)
Vintage telecommunication audio receiver
An antique radio is a radio receiving set that is collectible because of its age and rarity. The first radio receivers used a coherer and sounding board
Antique_radio
Hungarian and American mathematician and physicist (1903–1957)
proper class, not a set. Overall, von Neumann's major achievement in set theory was an "axiomatization of set theory and (connected with that) elegant
John_von_Neumann
Graph with equal-size maximal independent sets
maximal independent set is maximum. In the original paper defining well-covered graphs, these definitions were restricted to connected graphs, although they
Well-covered_graph
American photographer and environmentalist (1902–1984)
modest village with snow-covered mountains in the background, under a dominating black sky. The photograph is one of his most famous and is named Moonrise
Ansel_Adams
2026 Philippine television drama series
double life. When he takes in a girl, only to realize she is his daughter connected to a crime syndicate. Cast Lead cast Dingdong Dantes as Anthony "Atoy"
The_Master_Cutter
Mayor of New York City since 2026
the song, Mamdani expressed support for the Holy Land Five, five people connected to the Holy Land Foundation charity. In April 2019, under the moniker
Zohran_Mamdani
Israeli-American psychologist and economist (1934–2024)
but says that in reality humans pursue life satisfaction, which "is connected to a large degree to social yardsticks—achieving goals, meeting expectations"
Daniel_Kahneman
American anthology horror TV series
hometown to determine whether his brother's disappearance is somehow connected to a series of similar incidents and to a bizarre children's television
Channel_Zero_(TV_series)
Indian actor and model (born 1988)
Retrieved 29 October 2025. "Race 3 box office collection: Salman Khan film dominating the B.O. like nobody's business". India TV. 29 June 2018. Retrieved 29
Saqib_Saleem
Graphical representation of a computer program or algorithm
is always reachable and post-dominates all blocks. A strongly-connected component (SCC) of a control flow graph is a set of basic blocks which are all
Control-flow_graph
Graph formed by adding isolated or universal vertices
vertex to the graph. Addition of a single dominating vertex to the graph, i.e. a single vertex that is connected to all other vertices. For example, the
Threshold_graph
American football player (born 2003)
Nabers was selected sixth overall by the Giants in the 2024 NFL draft, and set numerous rookie wide receiver and franchise records. Nabers was born on July
Malik_Nabers
History and future of the universe
(such as the electron, muons and certain neutrinos) and antileptons, dominating the mass of the universe. Initially leptons and antileptons are produced
Chronology_of_the_universe
2002 video game
Mournhold, the capital of the province of Morrowind; the new city is not connected to Morrowind's landmass, Vvardenfell, and the player must teleport to
The Elder Scrolls III: Morrowind
The_Elder_Scrolls_III:_Morrowind
2017 supernatural horror film by Andy Muschietti
piece. It's set in a small town that sort of looks like this pleasant place to be, but all this wild stuff is happening!" On the work connected on Pennywise
It_(2017_film)
Upcoming Indian film by Apoorva Lakhia
leading role, with reports indicating that she would portray a character connected to the protagonist’s personal life. According to media reports, the filmmakers
Maatrubhumi: May War Rest in Peace
Maatrubhumi:_May_War_Rest_in_Peace
2013 professional boxing match
Retrieved 14 June 2020. "Mayweather vs Canelo: Floyd Mayweather puts on dominating display in win". CBS News. 2013-09-15. Retrieved 2026-07-07. "Google Trends
Floyd Mayweather Jr. vs. Canelo Álvarez
Floyd_Mayweather_Jr._vs._Canelo_Álvarez
Area of discrete mathematics
to various set cover problems on subsets of vertices/subgraphs. Dominating set problem is the special case of set cover problem where sets are the closed
Graph_theory
2024 film by Yorgos Lanthimos
"triptych fable", Kinds of Kindness consists of three distinct but loosely connected stories: Robert Fletcher follows every order from his domineering boss
Kinds_of_Kindness
Armenian-Russian mixed martial artist (born 1996)
"RAF 9 results: Gable Steveson, Merab Dvalishvili dominate; Arman Tsarukyan vs. Colby Covington set for July". Yahoo Sports. Retrieved May 31, 2026. Behunin
Arman_Tsarukyan
American football team season
three-and-out on the Seahawks, Stafford connected with Woods on back-to-back 20-yard pass plays, and a 29-yard run by Henderson set up Stafford's 13-yard scoring
2021_Los_Angeles_Rams_season
American professional boxer (born 1994)
Retrieved December 20, 2025. "Alycia Baumgardner goes the distance in dominating Leila Beaudoin". Boxing Scene. Retrieved December 20, 2025. "Alycia Baumgardner
Alycia_Baumgardner
2006 studio album by New Found Glory
bpm), various tracks such as "Oxygen", "Make Your Move", "When I Die", "Connected", and "Boulders" contain "moderately slow" tempos of no more than 80 bpm
Coming Home (New Found Glory album)
Coming_Home_(New_Found_Glory_album)
Fictional character, The Bear TV series
man. Tiff and Richie remain devoted co-parents Evie, which keeps them connected, said Jacobs in 2025: "There's always a connection there. She's engaged
Tiffany_Jerimovich
Machine for household uses
computers. There is a growing trend towards home automation and internet-connected appliances. Recycling of home appliances involves dismantling and recovering
Home_appliance
Fictional universe created by Isaac Asimov
series written by American author Isaac Asimov. The Foundation series is set in the same universe as Asimov's first published novel, Pebble in the Sky
Foundation_universe
2025 film by Richard Linklater
com. Retrieved December 14, 2025. While there was no Theresa Weiland connected to the Theatre Guild, one of its co-founders was Theresa Helburn, who
Blue_Moon_(2025_film)
Gang in southern California
The South Side Compton Crips (also known as the South Side Crips) are a "set" of the Crips gang alliance, based in Compton, California. This gang is known
South_Side_Compton_Crips
Largest moon of Neptune
or cryovolcanic constructs in the Solar System. This feature is also connected to two enormous cryolava lakes seen northwest of the caldera. Because
Triton_(moon)
UK law removing hereditary peerage from the House of Lords
hereditary peers; the history of such attempts between 1997 and 2009 is set out in a report in The Guardian. Proposals called The House of Lords: Reform
House_of_Lords_Act_1999
Set theory concept
\exists f\in F(f\nleq ^{*}g)\}).} The dominating number d {\displaystyle {\mathfrak {d}}} is the least cardinality of a set of functions from ω {\displaystyle
Cardinal characteristic of the continuum
Cardinal_characteristic_of_the_continuum
Species of snake
in old individuals, the narrow white lines may be found as a series of connected spots, with a prominent spot on the vertebral region. A white preocular
Common_krait
2nd episode of the 1st season of The Last of Us
"The Last of Us" seen filming in Calgary (PHOTOS)". Daily Hive. Buzz Connected Media Inc. Archived from the original on October 21, 2021. Retrieved April
Infected_(The_Last_of_Us)
Postseason college football bowl game
invited to the Orange Bowl against Florida State, where they earned a dominating 63–3 win, setting a new record for the largest margin of victory of any
2023 College Football Playoff National Championship
2023_College_Football_Playoff_National_Championship
American boxer (born 1995)
Herring dedicated the win to the US Troops. According to CompuBox, Herring connected 143 of 665 punches (22%) and Roach landed with 84 of 403 (21%). Herring
Lamont_Roach_Jr.
British television soap opera (1985–present)
and Tony Holland which has been broadcast on BBC One since February 1985. Set in the fictional borough of Walford in the East End of London, the programme
EastEnders
Aspect of economics
individuals and firms Monopoly – Market structure with a single firm dominating the market Opportunity cost – Benefit lost by a choice between options
Consumer_choice
Term with multiple meanings
International Dictionary suggests that pussy in the sense of "vulva" may be connected to Old Norse pūss and Old English pusa, meaning 'pocket' or 'purse'. Meanings
Pussy
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
travel, tourism, insurance
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
CONNECTED DOMINATING-SET
travel, tourism, insurance