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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
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
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
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
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
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
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
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
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
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
1986 film by Stephen King
Maximum Overdrive is a 1986 American action horror film written and directed by Stephen King, in his only directorial effort. The film stars Emilio Estevez
Maximum_Overdrive
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
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
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)
path problem Maximum bipartite subgraph or (especially with weighted edges) maximum cut. Maximum common subgraph isomorphism problem Maximum independent
List_of_NP-complete_problems
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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)
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
In mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification on symplectic manifolds. Its effect is to decompose
Symplectic_cut
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
Species of bird
The rose-breasted grosbeak (Pheucticus ludovicianus), colloquially called "cut-throat" due to its coloration, is a large, seed-eating grosbeak in the cardinal
Rose-breasted_grosbeak
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
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
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
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
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
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 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
1986 Australian murder case
a prolonged and vicious attack, with multiple sharp puncture wounds and cuts, as well as lacerations from being rolled in and dragged through barbed wire
Murder_of_Anita_Cobby
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
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
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
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
Indian actor (born 1980)
2022. Retrieved 8 July 2021. "9th Annual Edison Awards: Thani Oruvan bags maximum number of awards, yet again". 15 February 2016. Archived from the original
Ravi_Mohan
Japanese art of paper folding
the use of cuts, glue, or markings on the paper. Origami folders often use the Japanese word kirigami to refer to designs which use cuts. In the detailed
Origami
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 computer scientist and educator
Umesh Vazirani for their work on approximation algorithms for the sparsest cut problem. He was named an ACM Fellow in 2013 for contributions to algorithms
Satish_B._Rao
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
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)
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
American heavy metal band
Tour (1997) Greatest Hits Tour (1998–1999) Maximum Rock Tour (1999) Welcome to the Freekshow Tour (1999) Maximum Rock 2000 Tour (2000) New Tattoo Tour (2000)
Mötley_Crüe
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
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
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
Rifled tank gun
of fire: 10 rounds per minute (maximum), 6 rounds per minute (normal) Barrel life: 200 EFC (800 with additives) Maximum effective range: 1,800 m (2,000 yd)
Royal_Ordnance_L7
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
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
Study of mathematical algorithms for optimization problems
}\;2x} asks for the maximum value of the objective function 2x, where x may be any real number. In this case, there is no such maximum as the objective function
Mathematical_optimization
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
International petroleum organization
consumption. The previous year, OPEC+ cut the equivalent of about 10% of demand at the time. The UAE asked for the maximum amount of oil the group would recognize
OPEC
Representation of the relationship between taxation and government revenue
tax cuts would pay for themselves. One of the conceptual uses of the Laffer curve is to determine the rate of taxation that will raise the maximum revenue
Laffer_curve
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
American wide-body four-engined jet long-range aircraft
for a heavier maximum takeoff weight (MTOW) of 833,000 pounds (378 t) from the initial 735,000 pounds (333 t), increasing the maximum range from 4,620
Boeing_747
Australian golfer (born 1986)
four-time NAIA All-American at Oklahoma Christian University. Gibson made the cut at the 2014 Open Championship, where in the 3rd round he played in a group
Rhein_Gibson
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
Use of a cavitation bubble to reduce skin friction drag on a submerged object
torpedo, the VA-111 "Shkval". The Shkval uses rocket propulsion to achieve a maximum velocity of 386 kilometres per hour (240 mph; 208 kn), exceeding the speed
Supercavitation
Comune in Tuscany, Italy
temperatures, which can occur during prolonged periods, despite the daily maximum values are often pleasing. On the contrary, in summer the heat can be very
Pitigliano
American murderer (1927–2001)
after being released from prison eight years later. He raped Vincent and cut off her forearms, then left her to die in a culvert off Interstate 5 in Del
Lawrence_Singleton
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
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)
German long-range ballistic missile
sustained rate of 350 V-2s could be launched per week, with 100 per day at maximum effort, given sufficient supply of the rockets. The LXV Armeekorps z.b
V-2_rocket
MAXIMUM CUT
MAXIMUM CUT
Boy/Male
Muslim
Auspicious, Prosperous
Boy/Male
Russian American
The greatest.
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Boy/Male
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Boy/Male
Indian
Auspicious, Prosperous
Male
Spanish
Spanish form of Latin Maximus, MÃXIMO means "the greatest."
Girl/Female
Latin
The best.
Male
Italian
Italian form of Latin Maximus, MASSIMO means "the greatest."
Boy/Male
African, Arabic
Far
Boy/Male
Arabic, French, Muslim
Lucky
Boy/Male
Italian American
The greatest.
Boy/Male
American, Australian, French, Latin
Greatest
Boy/Male
Latin
Greatest.
Boy/Male
Latin
Greatest.
Boy/Male
Arabic
Trusting
Boy/Male
Latin French
Greatest.
Male
French
French form of Latin Maximus, MAXIME means "the greatest."Â
Girl/Female
Arabic, Muslim
Increase; Excess; High Degree; Maximum; Feminine of Mazid
Boy/Male
American, Australian, Chinese, Danish, French, German, Latin, Swedish
The Greatest; Form of Maximilian; Great; The Greatest Rival
MAXIMUM CUT
MAXIMUM CUT
Boy/Male
Australian, French, German
One who Brings News
Girl/Female
Muslim
Generous
Girl/Female
Hindu
Pearl
Girl/Female
Hindu, Indian, Traditional
Arjun's Wife
Boy/Male
Arabic
Acceptable; Admired
Boy/Male
American, Anglo, Australian, British, Celtic, Christian, Danish, English, French, Gaelic, Irish, Jamaican
Gracious Defender; Man of the World; Munster; Man from South Munster
Boy/Male
English
Bled of Jar or Jer and Gareth.
Girl/Female
Bengali, Indian, Kannada
Gem
Boy/Male
Hindu, Indian
Lord Shiva
Surname or Lastname
English
English : from the Old French personal name Asceline, a pet form of the personal name Asse (see Asselin).Swedish (Åslin) : topographic or ornamental name from ås ‘ridge’, with the addition of -lin, a suffix of Swedish family names.
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
n.
A proposition; a maxim.
n.
An elementary principle or maximum; a short, proverbial rule, in law, ethics, or metaphysics.
n.
The opinions and maxims of the Stoics.
n.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
n.
Minimum.
pl.
of Maximum
n.
A popular maxim, adage, or proverb.
n.
An established principle or proposition; a condensed proposition of important practical truth; an axiom of practical wisdom; an adage; a proverb; an aphorism.
pl.
of Minimum
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.
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
n.
Fundamental principle; axiom; maxim.
n.
A sewer; as, the Cloaca Maxima of Rome.
v. t.
A saying; a proverb; a maxim.
n.
The longest note formerly used, equal to two longs, or four breves; a large.
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.
a.
Sententious; uttering or containing maxims, or striking detached thoughts; aphoristic.
n.
A coarse umbelliferous plant of Europe (Tordylium maximum).