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Problem in graph theory
In a graph, a maximum cut is a cut whose size is at least the size of any other cut. That is, it is a partition of the graph's vertices into two complementary
Maximum_cut
Equivalence of optimization problems
science and optimization theory, the max-flow min-cut theorem states that in a flow network, the maximum amount of flow passing from the source to the sink
Max-flow_min-cut_theorem
Partition of a graph's nodes into 2 disjoint subsets
algorithm. A cut is maximum if the size of the cut is not smaller than the size of any other cut. The illustration on the right shows a maximum cut: the size
Cut_(graph_theory)
Partition of a graph by removing fewest possible edges
The weighted min-cut problem allowing both positive and negative weights can be trivially transformed into a weighted maximum cut problem by flipping
Minimum_cut
Combinatorial optimization problem
for many classical problems from theoretical computer science, like maximum cut, graph coloring and the partition problem, embeddings into QUBO have
Quadratic unconstrained binary optimization
Quadratic_unconstrained_binary_optimization
Computational problem in graph theory
problem. The maximum value of an s-t flow (i.e., flow from source s to sink t) is equal to the minimum capacity of an s-t cut (i.e., cut severing s from
Maximum_flow_problem
Mathematical model of ferromagnetism in statistical mechanics
without an external field can be equivalently formulated as a graph maximum cut (Max-Cut) problem that can be solved via combinatorial optimization. Consider
Ising_model
Class of algorithms that find approximate solutions to optimization problems
well-known example of the former is the Goemans–Williamson algorithm for maximum cut, which solves a graph theoretic problem using a semidefinite program
Approximation_algorithm
approaches to image segmentation applying graph partitioning via minimum cut or maximum cut. Segmentation-based object categorization can be viewed as a specific
Segmentation-based object categorization
Segmentation-based_object_categorization
Subdivision of vertices into disjoint sets
al. (2013). Two common examples of graph partitioning are minimum cut and maximum cut problems. Typically, graph partition problems fall under the category
Graph_partition
Longest recorded life span
Maximum life span (or, for humans, maximum reported age at death) is a measure of the maximum amount of time one or more members of a population have
Maximum_life_span
1986 film by Stephen King
Maximum Overdrive is a 1986 American science fiction action horror film written and directed by Stephen King in his only directorial effort. The film
Maximum_Overdrive
Topics referred to by the same term
of Correction (also "The Cut"), a Maryland Department of Corrections state maximum security prison Montlake Cut (also "The Cut"), the easternmost section
The_Cut
Set of computational problems stated by Richard Karp (1973)
problems, which may have approximation algorithms (as in the case of maximum cut). List of NP-complete problems Karp 1972. Cook 1971. Zuckerman 1996.
Karp's 21 NP-complete problems
Karp's_21_NP-complete_problems
Mathematical propositions in network flow theory
approximate max-flow min-cut theorems concern the relationship between the maximum flow rate (max-flow) and the minimum cut (min-cut) in multi-commodity flow
Approximate max-flow min-cut theorem
Approximate_max-flow_min-cut_theorem
Combinatorial optimization graph problem
minimum k-cut problem is W[1]-hard parameterized by k, a parameterized approximation scheme can be obtained for this parameter. Maximum cut Minimum cut Goldschmidt
Minimum_k-cut
Japanese manga series
2005 Wangan Midnight Maximum Tune 3 – July 18, 2007 Wangan Midnight Maximum Tune 3 DX – December 16, 2008 Wangan Midnight Maximum Tune 3 DX Plus – March
Wangan_Midnight
Variable used for specification
audio filter that allows the frequency of maximum cut or boost to be set by one control, and the size of the cut or boost by another. These settings, the
Parameter
as it has in its own set. It is a generalization of the concept of a maximum cut for finite graphs, which is automatically an unfriendly partition. (If
Unfriendly_partition
2012 American film
Maximum Conviction is a 2012 action thriller starring Steven Seagal and Steve Austin and directed by Keoni Waxman. The film follows a former black ops
Maximum_Conviction
Unsolved problem in computational complexity theory
Manurangsi, Pasin (2017), "Inapproximability of Maximum Edge Biclique, Maximum Balanced Biclique and Minimum k-Cut from the Small Set Expansion Hypothesis",
Unique_games_conjecture
Splitting a deck of cards by someone other than the dealer
cards. Rules of this procedure may vary concerning who makes the cut, the minimum or maximum number of cards which may be lifted off the top of the deck,
Cut_(cards)
Counts pieces of a disk cut by lines
three dimensions is the cake numbers. The maximum number p of pieces that can be created with a given number of cuts n (where n ≥ 0) is given by the formula
Lazy_caterer's_sequence
Graph with sign-labeled edges
frustration index of an all-negative signed graph is the same as the maximum cut problem in graph theory, which is NP-hard. The frustration index is important
Signed_graph
path problem Maximum bipartite subgraph or (especially with weighted edges) maximum cut. Maximum common subgraph isomorphism problem Maximum independent
List_of_NP-complete_problems
Open-source framework for quantum computers
by QC Ware showed an implementation of QAOA solving an example of the maximum cut problem being solved on a Cirq simulator. Quantum programs in Cirq are
Cirq
Finding shortest walks through all graph edges
have been reduced to the Chinese Postman Problem, including finding a maximum cut in a planar graph and a minimum-mean length circuit in an undirected
Chinese_postman_problem
O(\log(n))} steps, so the algorithm is robust. The maximum weight matching problem The maximum cut problem The vertex cover problem The facility location
Learning_augmented_algorithm
Railway locomotive that produces its pulling power through a steam engine
that controls the cut-off, therefore, performs a similar function to a gearshift in an automobile – maximum cut-off, providing maximum tractive effort at
Steam_locomotive
Facial gesture indicating disapproval
theologies. The action of performing cut-eye is commonly associated with the suck-teeth gesture and a neck roll for maximum effect. In media depictions, the
Cut-eye
1999 studio album by Six Feet Under
Maximum Violence is the third album by American death metal band Six Feet Under. The album goes back to Chris Barnes' roots in Cannibal Corpse with violent
Maximum_Violence
Graph with all vertices of degree 3
problems of finding a minimum vertex cover, maximum independent set, minimum dominating set, and maximum cut. The crossing number (the minimum number of
Cubic_graph
tractable algorithm under standard complexity-theoretic assumptions. Maximum cut, equivalent to asking for a minimum set of edges whose removal leaves
Odd_cycle_transversal
higher than the structural cut-off will display structural disassortativity. The structural cut-off is a maximum degree cut-off that arises from the structure
Structural_cut-off
Unproven computational hardness assumption
{\textstyle {\bigl (}3-o(1){\bigr )}^{w}n^{O(1)}} , the optimum time for maximum cut is ( 2 − o ( 1 ) ) w n O ( 1 ) {\textstyle {\bigl (}2-o(1){\bigr )}^{w}n^{O(1)}}
Exponential_time_hypothesis
Belgian-American mathematician
Williamson on the semidefinite programming approximation algorithm for the maximum cut problem. In 2012 Goemans was awarded the Farkas Prize. In 2022 he received
Michel_Goemans
Award for advancements in discrete mathematics
Williamson, David P. (1995). "Improved approximation algorithms for the maximum cut and satisfiability probelsm using semi-definite programming". Journal
Fulkerson_Prize
Set-to-real map with diminishing returns
submodular function admits a 1/2 approximation algorithm. Computing the maximum cut of a graph is a special case of this problem. The problem of maximizing
Submodular_set_function
Generalization of binary functions
is NP-hard. This can easily be seen by formulating, for example, the maximum cut problem as maximizing a pseudo-Boolean function. The submodular set functions
Pseudo-Boolean_function
hypergraphs. For k=2, the optimization variant reduces to the well-known maximum cut. Garey, Michael R.; Johnson, David S. (1979). Computers and Intractability:
Set_splitting_problem
Class of computational problems
of nonzero values The max-flow min-cut theorem equates the value of a maximum flow to the value of a minimum cut, a partition of the vertices of the
Network_flow_problem
Canal in the Norfolk Broads, England
The Haddiscoe Cut or New Cut is a canal in the English county of Norfolk and in The Broads National Park. The cut was conceived as a way to provide a
Haddiscoe_Cut
Species of fish
slope, and dwells at a depth range of 100–329 metres. Males can reach a maximum total length of 73 centimetres. Synonyms of Meadia abyssalis at www.fishbase
Meadia_abyssalis
Optimization technique
approximated by solving a maximum flow problem in a graph (and thus, by the max-flow min-cut theorem, define a minimal cut of the graph). Under most formulations
Graph cuts in computer vision and artificial intelligence
Graph_cuts_in_computer_vision_and_artificial_intelligence
2005 live album by Kraftwerk
Minimum-Maximum is the first official live album release by Kraftwerk, released in June 2005, almost 35 years after the group gave its first live performance
Minimum-Maximum
Species of fish
Histiobranchus australis, the southern cut-throat eel is an eel in the family Synaphobranchidae (cutthroat eels). It was described by Regan in 1913. It
Histiobranchus_australis
In mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification on symplectic manifolds. Its effect is to decompose
Symplectic_cut
Method of construction of the real numbers
requirement that both A and B are nonempty. If neither A has a maximum, nor B has a minimum, the cut is called a gap. A linearly ordered set endowed with the
Dedekind_cut
On bipartite matching and vertex cover
theorem, proved by Dénes Kőnig (1931), describes an equivalence between the maximum matching problem and the minimum vertex cover problem in bipartite graphs
Kőnig's theorem (graph theory)
Kőnig's_theorem_(graph_theory)
maximum cut problem. Since qubits and two-qubit gates in the QAOA circuit's problem layer can be considered as representatives of the Maximum cut's problem
Quantum_circuit_cutting
its maximum height 110 feet (34 m) tall and was 3.12 miles (5.0 km) long, requiring 6,625,648 cubic yards (5,065,671 m3) of fill. Armstrong Cut was 100
Construction of the Lackawanna Cut-Off
Construction_of_the_Lackawanna_Cut-Off
Species of fish
eel (Synaphobranchus brevidorsalis, also known commonly as the shortfin cut-throat eel) is an eel in the family Synaphobranchidae (cutthroat eels). It
Shortdorsal_cutthroat_eel
Theorem in graph theory
theorem says that in a finite graph, the size of a minimum cut set is equal to the maximum number of disjoint paths that can be found between any pair
Menger's_theorem
Form of payment for use of artistic works or other assets
glass-manufacturing license). In some circumstances there may be minimum and maximum (cut-off) royalty stipulations. Minimum royalties are used when there is a
Royalty_payment
Mathematical optimization problem
find a flow which is maximum, but has the lowest cost among the maximum flow solutions. This could be called a minimum-cost maximum-flow problem and is
Minimum-cost_flow_problem
Recursive algorithm in graph theory
the minimum cut problem is always discussed with the maximum flow problem, to explore the maximum capacity of a network, since the minimum cut is a bottleneck
Stoer–Wagner_algorithm
Graph theory problem
approximation for maximum-weight matching. Journal of the ACM 61(1). Lewis, R.; Bonnet, L. (2025). Exact algorithms in bar nesting: How to cut general items
Maximum-weight_matching
Survival horror game
Retrieved September 26, 2015. Hunter, Yasuhiro (June 1996). "Maximum Reviews: Resident Evil". Maximum: The Video Game Magazine. No. 7. p. 123. "32 bit Gamer's
Resident Evil (1996 video game)
Resident_Evil_(1996_video_game)
Representation of a graph as a path graph "thickened" by some amount
can at most equal the number of cut edges. For similar reasons, the cutwidth is at most the pathwidth times the maximum degree of the vertices in a given
Pathwidth
Category of routing problem minimizing total distance and time
odd-cut inequality violations. Various combinatorial problems have been reduced to the Chinese Postman Problem, including finding a maximum cut in a
Arc_routing
Voltage at which a battery is considered fully discharged
considered complete. The cut-off voltage is usually chosen so that the maximum useful capacity of the battery is achieved. The cut-off voltage is different
Cutoff_voltage
consistent in all respects with those given in a discussion of the maximum-flow minimum-cut theorem. Cederbaum's theorem applies to a particular type of directed
Cederbaum's maximum flow theorem
Cederbaum's_maximum_flow_theorem
Combinatorial optimization method
Branch and cut is a method of combinatorial optimization for solving integer linear programs (ILPs), that is, linear programming (LP) problems where some
Branch_and_cut
Soviet-French mathematician (1939–2016)
describes some of the facets of a polytope that encodes cuts in a complete graph. As the maximum cut problem is NP-complete, but could be solved by linear
Michel_Deza
American adult stop motion-animated television series
Titan by using the heavily armed Mecha Titan Maximum. However, the team was disbanded due to budget cuts after a series of escalating incidents caused
Titan_Maximum
Audio editor
mp3DirectCut is a lossless editor for MP3 (and to a degree, MP2 and AAC) audio files, able to provide cuts and crops, copy and paste, gain and fades to
Mp3DirectCut
Two-piece swimwear
bottoms covering about half the buttocks may be described as "Brazilian-cut". The modern bikini swimsuit was introduced by French clothing designer Louis
Bikini
Prime Minister of the United Kingdom in 2022
the Energy Price Guarantee. The government then announced large-scale tax cuts and borrowing in a mini-budget, which led to financial instability and were
Liz_Truss
2025 legislation in the United States
rise by 2.7% by 2034 mainly due to tax cuts, while the lowest 10% would see incomes fall by 3.1% mainly due to cuts to programs such as Medicaid and food
One_Big_Beautiful_Bill_Act
Shipping route across Central America
waterway in Panama that connects the Caribbean Sea with the Pacific Ocean. It cuts across the narrowest point of the Isthmus of Panama, and is a conduit for
Panama_Canal
American professional golfer (born 1996)
Nelson Championship. With his sister Callie caddying for him, he made the cut. He recorded a hole-in-one in the third round and ultimately finished at
Scottie_Scheffler
Device fitted in modern vehicles that have internal combustion engines
combustion engines. They are intended to protect an engine by restricting its maximum rotational speed, measured in revolutions per minute (rpm). Rev limiters
Rev_limiter
Earthquake probability in a specific area and time
probabilistic maximum considered earthquake (or event), used in standard building codes, and the more detailed and deterministic maximum credible earthquake
Seismic_hazard
MMA promoter based in Edmonton, Canada
Maximum Fighting Championship was a Canadian mixed martial arts (MMA) promotion based in Edmonton, Alberta. MFC events were broadcast on The Fight Network
Maximum_Fighting_Championship
Computational problem in graph theory
maximized. By the max-flow min-cut theorem, a minimum cut, and the optimal closure derived from it, can be found by solving a maximum flow problem. Alternative
Closure_problem
Species of fish
Kaup's arrowtooth eel (Synaphobranchus kaupii), also known as the Kaup's cut-throat eel, the Gray's cutthroat, the Longnosed eel, the Northern cutthroat
Kaup's_arrowtooth_eel
Japanese manga series
arena, Mitsunari Tokugawa arranges for a special tournament titled the "Maximum Tournament" to be held in order to decide who is the strongest fighter
Baki_the_Grappler
2020 video game
These include hot springs which increase Jin's maximum health, "Bamboo Strikes" which increase Jin's maximum resolve upon completion, "Pillars of Honor"
Ghost_of_Tsushima
Cutter for cigars
shirt or trouser pockets. Most prefer this cut because the entire cap end is exposed, which allows for maximum smoke to exit with only minimum buildup occurring
Cigar_cutter
Mexican drug lord (born 1946)
"Kiki" Camarena. He was serving his 40-year sentence at the Altiplano maximum-security prison but was transferred to a medium-security facility in 2014
Miguel_Ángel_Félix_Gallardo
Canadian-American actor and entrepreneur (born 1976)
23, 2021, Maximum Effort's marketing division was spun off into a separate company and acquired by MNTN Software. Reynolds has used Maximum Effort to
Ryan_Reynolds
Golf tournament held in the United Kingdom
current format of four days of 18 holes, with the lowest scoring golfers cut after the first 36 holes. Players can qualify one of four ways, an exemption
The Open Championship format and qualification
The_Open_Championship_format_and_qualification
Panchayat Town in Tamil Nadu, India
mean maximum and minimum temperature of 30 °C and 21 °C respectively. Warm season from February to March and from July to October with a mean maximum and
Kalavai
Ancient rock-cut historical city in Jordan
ancient city and archaeological site in southern Jordan. Famous for its rock-cut architecture and water conduit systems, Petra is also called the "Rose City"
Petra
Given two graphs G {\displaystyle G} and G ′ {\displaystyle G'} , the maximum common edge subgraph problem (or MCES problem) is the problem of finding
Maximum_common_edge_subgraph
City in Montana, United States
Cut Bank is a city in and the county seat of Glacier County, Montana, United States, located just east of the "cut bank" (gorge) along Cut Bank Creek.
Cut_Bank,_Montana
American professional wrestling tag team
Academy eliminate the Maximum Male Models, 18 May 2023, retrieved 2023-06-20 Yanofsky, Daniel (2023-09-21). "WWE releases and roster cuts 2023: Dolph Ziggler
MxM_Collection
Canal in East London
The Hackney Cut is an artificial channel of the Lee Navigation built in England in 1769 by the River Lea Trustees to straighten and improve the Navigation
Hackney_Cut
Glacial lake in Glacier, Montana, USA
(0.0080 km) southwest of Cut Bank the same granite pebbles are found at 4,050 feet (1,230 m). This is taken as the maximum and first lake level. The
Lake_Cut_Bank
Star at the centre of the Solar System
times the current level. Despite this, the Sun's maximum AGB radius will be less than its tip-RGB maximum, or 179 R☉, or about 0.832 au (124.5 million km;
Sun
would not be seen again until the heat waves of the 21st century. The maximum recorded temperature of the heat wave, 35.9 °C (96.6 °F) at Cheltenham
List_of_heat_waves
American Thoroughbred racehorse
Maximum Security (foaled May 14, 2016) is a champion American Thoroughbred racehorse who was the 2019 Champion Three-Year-Old after winning the Florida
Maximum_Security_(horse)
1998 film by Alex Proyas
explanatory voice-over to the introduction, and he complied. When a director's cut of the film was released in 2008, among the changes was the removal of the
Dark_City_(1998_film)
American television host (born 1954)
2013, New Harvest published Raise the Bar: An Action-Based Method for Maximum Customer Reactions, a book by Taffer and co-writer Karen Kelly, detailing
Jon_Taffer
Capital of Maharashtra, India
city, the average maximum and minimum temperatures are 31 °C (88 °F) and 24 °C (75 °F) respetively. In the suburbs, the daily mean maximum temperature ranges
Mumbai
European wide-body airliner
double-deck aircraft has a typical seating for 525 passengers, with a maximum certified capacity for 853 passengers. The quadjet is powered by Engine
Airbus_A380
American lawyer and NBA commissioner (born 1962)
the NBA for life. In addition, Silver fined Sterling $2.5 million, the maximum allowed under the NBA constitution. Silver stripped Sterling from virtually
Adam_Silver
1968 film by Stanley Kubrick
preserve its sense of scale), the camera's aperture was stopped down for maximum depth-of-field, and each frame was exposed for several seconds. Many matting
2001:_A_Space_Odyssey
Set of social responsibility initiatives by the gambling industry
Retrieved 2019-10-30. Davies, Rob (2018-05-17). "Maximum stake for fixed-odds betting terminals cut to £2". The Guardian. ISSN 0261-3077. Retrieved 2019-10-30
Responsible_gambling
Policy by the Australian Government
income years only. The maximum amount of LMITO is $1,080, it cannot reduce tax liability below zero dollars, and the offset cuts out when taxable income
Stage_three_tax_cuts
MAXIMUM CUT
MAXIMUM CUT
Boy/Male
Russian American
The greatest.
Boy/Male
Latin
Greatest.
Male
Italian
Italian form of Latin Maximus, MASSIMO means "the greatest."
Boy/Male
American, Australian, French, Latin
Greatest
Male
French
French form of Latin Maximus, MAXIME means "the greatest."Â
Male
Spanish
Spanish form of Latin Maximus, MÃXIMO means "the greatest."
Boy/Male
Latin French
Greatest.
Boy/Male
Muslim
Auspicious, Prosperous
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Boy/Male
Arabic
Trusting
Girl/Female
Latin
The best.
Boy/Male
African, Arabic
Far
Boy/Male
American, Australian, Chinese, Danish, French, German, Latin, Swedish
The Greatest; Form of Maximilian; Great; The Greatest Rival
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Boy/Male
Arabic, French, Muslim
Lucky
Boy/Male
Indian
Auspicious, Prosperous
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Girl/Female
Arabic, Muslim
Increase; Excess; High Degree; Maximum; Feminine of Mazid
Boy/Male
Italian American
The greatest.
Boy/Male
Latin
Greatest.
MAXIMUM CUT
MAXIMUM CUT
Girl/Female
Hindu
Flowers
Boy/Male
Arabic
Life's Blessing
Boy/Male
Muslim/Islamic
Sound Unimpaired, Sane, Sincere
Boy/Male
Hindu
Mahadev (Lord Shiva)
Surname or Lastname
English
English : variant of Plum.
Girl/Female
Arabic
Tree
Boy/Male
Biblical
Awakening, uncovering.
Boy/Male
Hindu
Thought, Devotion, Another name of the Sun, Lord Shiva
Girl/Female
Tamil
Avanthika | அவஂதிகா
City of ujjain, Princess of ujjain
Girl/Female
Muslim
Tree
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
pl.
of Minimum
n.
A coarse umbelliferous plant of Europe (Tordylium maximum).
n.
The opinions and maxims of the Stoics.
n.
A proposition; a maxim.
n.
A sewer; as, the Cloaca Maxima of Rome.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
Minimum.
n.
An established principle or proposition; a condensed proposition of important practical truth; an axiom of practical wisdom; an adage; a proverb; an aphorism.
n.
A popular maxim, adage, or proverb.
n.
An elementary principle or maximum; a short, proverbial rule, in law, ethics, or metaphysics.
n.
The greatest quantity or value attainable in a given case; or, the greatest value attained by a quantity which first increases and then begins to decrease; the highest point or degree; -- opposed to minimum.
pl.
of Maximum
n.
Fundamental principle; axiom; maxim.
n.
A brief reflection or maxim.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.
v. t.
A saying; a proverb; a maxim.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
n.
The longest note formerly used, equal to two longs, or four breves; a large.
a.
Sententious; uttering or containing maxims, or striking detached thoughts; aphoristic.