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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
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
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
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
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
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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
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
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
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
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
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
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
tractable algorithm under standard complexity-theoretic assumptions. Maximum cut, equivalent to asking for a minimum set of edges whose removal leaves
Odd_cycle_transversal
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
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
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)
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
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
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
In mathematics, specifically in symplectic geometry, the symplectic cut is a geometric modification on symplectic manifolds. Its effect is to decompose
Symplectic_cut
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
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
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
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
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
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
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
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
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
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 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
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
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
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
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
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)
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
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
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
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
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
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
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
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
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
Species of flowering plant
herb producing a slender, branching, rough-haired stem up to a meter in maximum height. The alternately arranged leaves are each divided into several pairs
Torilis_arvensis
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
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
Power shovel used in southeastern Ohio
crawlers – 8 ft (2.5 m) Length of crawlers – 34 ft (10 m) Maximum dumping height – 139 ft (42 m) Maximum dumping radius – 195 ft (59 m) Rating on A.C. motors
The_Silver_Spade
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
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
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 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
Machine for winding yarn etc onto a spool
reflected or not. It consists of a knife blade which is used to cut the web when the maximum roll diameter is reached. The knife blade is actuated either
Winding_machine
Australian bank robber (born 1962)
postcard bandit" by police seeking media coverage. Abbott was held in a maximum-security prison in Queensland until he was transferred in 2016 to Casuarina
Brenden_Abbott
2007 superhero film by Sam Raimi
#ReleaseTheSnyderCut movement around Justice League in DCEU, fans also began the #ReleaseTheRaimiCut campaign. Due to the success of the #ReleaseTheSnyderCut movement
Spider-Man_3
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
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
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
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
High-speed rail project in England
centre of Birmingham. The new Class 895 trains are expected to reach a maximum speed of 320 km/h (200 mph) on HS2 track; on the conventional rail network
High_Speed_2
Concept in graph theory
dividing networks into parts is the minimum cut method (and variants such as ratio cut and normalized cut). This method sees use, for example, in load
Community_structure
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
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
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
(first of maximum) GLSD (generalized level set defuzzification) ICOG (indexed center of gravity) IV (influence value) LOM (last of maximum) MeOM (mean
Defuzzification
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
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
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
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
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
MAXIMUM CUT
MAXIMUM CUT
Boy/Male
Italian American
The greatest.
Boy/Male
Arabic, French, Muslim
Lucky
Male
Russian
(МакÑим) Variant spelling of Russian Maksim, MAXIM means "the greatest." Compare with another form of Maxim.
Boy/Male
Latin
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
Arabic
Trusting
Male
Spanish
Spanish form of Latin Maximus, MÃXIMO means "the greatest."
Boy/Male
Latin French
Greatest.
Boy/Male
Russian American
The greatest.
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
American, Australian, Chinese, French, German, Greek, Latin, Swedish
Greatest
Boy/Male
Latin
Greatest.
Boy/Male
Muslim
Auspicious, Prosperous
Boy/Male
Bengali, Gujarati, Hindu, Indian, Jain, Kannada, Malayalam, Marathi, Sanskrit
Plenty; Maximum; Intelligent; Young and Dynamic; Earth
Male
Italian
Italian form of Latin Maximus, MASSIMO means "the greatest."
Girl/Female
Latin
The best.
Boy/Male
American, Australian, French, Latin
Greatest
Boy/Male
Indian
Auspicious, Prosperous
MAXIMUM CUT
MAXIMUM CUT
Surname or Lastname
English
English : of uncertain origin; it may be, as Reaney suggests, a voiced variant of the habitational name Catterall.
Boy/Male
Czechoslovakian
From beyond the brook.
Girl/Female
Tamil
So sweet, White
Boy/Male
English
Temple-town. This surname refers to medieval priories and settlements of the military religious...
Girl/Female
Bengali, Indian, Tamil
Piercing Eyes; Eyes Resembling an Arrow Tip
Boy/Male
Indian, Punjabi, Sikh
Shinning Light
Girl/Female
English
Diminutive of any name begining with Christ-, for example Christahel, Christian, or Christopher.....
Girl/Female
English French American
A dark-red gemstone named for the pomegranate because of its color.
Boy/Male
American, Australian, British, English
Strong; Gifted Ruler
Boy/Male
Spanish
follower of Christ; the annointed.
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
MAXIMUM CUT
a.
Greatest in quantity or highest in degree attainable or attained; as, a maximum consumption of fuel; maximum pressure; maximum heat.
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.
n.
The opinions and maxims of the Stoics.
n.
A popular maxim, adage, or proverb.
pl.
of Minimum
n.
A brief reflection or maxim.
n.
The longest note formerly used, equal to two longs, or four breves; a large.
n.
A coarse umbelliferous plant of Europe (Tordylium maximum).
n.
A proposition; a maxim.
n.
A sewer; as, the Cloaca Maxima of Rome.
n.
Fundamental principle; axiom; maxim.
n.
A self-registering thermometer, especially one that registers the maximum and minimum during long periods.
n.
Minimum.
n.
An elementary principle or maximum; a short, proverbial rule, in law, ethics, or metaphysics.
a.
Sententious; uttering or containing maxims, or striking detached thoughts; aphoristic.
pl.
of Maximum
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.
The least quantity assignable, admissible, or possible, in a given case; hence, a thing of small consequence; -- opposed to maximum.
v. t.
A saying; a proverb; a maxim.
n.
In a curve referred to polar coordinates, any point for which the radius vector is a maximum or minimum.