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Vertices whose removal breaks all cycles
theory, a feedback vertex set (FVS) of a graph is a set of vertices whose removal leaves a graph without cycles ("removal" means deleting the vertex and all
Feedback_vertex_set
Edges that hit all cycles in a graph
polynomial time. A closely related problem, the feedback vertex set, is a set of vertices containing at least one vertex from every cycle in a directed or undirected
Feedback_arc_set
Largest independent set of paired elements
to find connected vertex covers and feedback vertex sets in graphs of maximum degree three. A matroid can be defined from a finite set of elements and from
Matroid_parity_problem
Min-max theorem in graph theory
collection of vertex-disjoint cycles contained in the graph; The size of the smallest feedback vertex set in the graph: a set that contains one vertex from every
Erdős–Pósa_theorem
Algorithmic technique
{\text{coNP}}\subseteq {\text{NP/poly}}} . Feedback vertex set parametrized by the size of the feedback vertex set: The feedback vertex set problem has kernels with 4
Kernelization
Directed graph with no directed cycles
removing a feedback vertex set or a feedback arc set, a set of vertices or edges (respectively) that touches all cycles. However, the smallest such set is NP-hard
Directed_acyclic_graph
Topics referred to by the same term
graphs Feedback vertex set, in computational complexity theory, the feedback vertex set problem is a graph-theoretical NP-complete problem Feedback (Marvel
Feedback_(disambiguation)
Graph with nodes connected in a closed chain
a set of vertices containing at least one vertex from each directed cycle is called a feedback vertex set. A directed cycle graph has uniform in-degree 1
Cycle_graph
bipartization, feedback vertex set, and cluster vertex deletion. It has also been used successfully for exact exponential time algorithms for independent set. Iterative
Iterative_compression
Fewest graph edges whose removal breaks all cycles
perfect matching; Feedback vertex set number - the minimum number of vertices to delete in order to make the graph acyclic; Feedback arc set - the minimum
Cyclomatic_number
Finiteness of sets of forbidden graph minors
that are knotlessly embeddable in Euclidean 3-space; graphs with a feedback vertex set of size bounded by some fixed constant; graphs with Colin de Verdière
Robertson–Seymour_theorem
include the connected dominating set problem and the maximum leaf spanning tree problem. Feedback vertex set Feedback arc set Graph coloring Graph homomorphism
List_of_NP-complete_problems
Graph divided into two independent sets
into two disjoint and independent sets U {\displaystyle U} and V {\displaystyle V} , that is, every edge connects a vertex in U {\displaystyle U} to one in
Bipartite_graph
bidimensionality, it was shown that feedback vertex set, vertex cover, connected vertex cover, cycle packing, diamond hitting set, maximum induced forest, maximum
Bidimensionality
Graph path which is an induced subgraph
S2CID 26649532. Kratsch, Dieter; Müller, Haiko; Todinca, Ioan (2003). "Feedback vertex set and longest induced path on AT-free graphs". Graph-theoretic concepts
Induced_path
Graph drawing with vertices in horizontal layers
Razgon, Igor (2008), "A fixed-parameter algorithm for the directed feedback vertex set problem", Journal of the ACM, 55 (5): 1, doi:10.1145/1411509.1411511
Layered_graph_drawing
Node ordering for directed acyclic graphs
ordering of its vertices such that for every directed edge (u,v) from vertex u to vertex v, u comes before v in the ordering. For instance, the vertices of
Topological_sorting
Dominating set that induces a connected subgraph
dominating set of a graph G is a set D of vertices with two properties: Any vertex in D can reach any other vertex in D by a path that stays entirely
Connected_dominating_set
rotated 3D model, such as zbrush or mudbox, also sometimes able to modify vertex attributes. 3D scene A collection of 3D models and lightsources in world
Glossary_of_computer_graphics
Graph with sign-labeled edges
graph is a mapping from the vertex set to the natural numbers, a coloring of a signed graph is a mapping from the vertex set to the integers. The constraints
Signed_graph
Set of computational problems stated by Richard Karp (1973)
optimization) Clique (see also independent set problem) Set packing Vertex cover Set covering Feedback node set Feedback arc set Directed Hamilton circuit (Karp's
Karp's 21 NP-complete problems
Karp's_21_NP-complete_problems
Directed graph where each vertex pair has one arc
choose any one vertex v {\displaystyle v} to be part of this subtournament, and form the rest of the subtournament recursively on either the set of incoming
Tournament_(graph_theory)
Cross-platform graphics API
shading languages it was replacing, it allowed replacing the fixed-function vertex and fragment pipe with shaders, though this time written in a C-like high-level
OpenGL
Unsolved problem in computational complexity theory
assignment to a label cover instance gives to each vertex of G {\displaystyle G} a value in the set [ k ] = { 1 , 2 , … , k } {\displaystyle [k]=\{1,2
Unique_games_conjecture
(corporate goals). The employer can observe the implementation of continuous feedback in the target agreement process, continuing to the performance level of
Agreements_on_objectives
Casual games by The New York Times
a matching game in which players form sequences of tile pairings, and Vertex, in which players connect vertices to assemble an image. In January 2022
The_New_York_Times_Games
Shape that blocks all lines of sight
the square's vertices, together with a line segment connecting the fourth vertex to the center. Ross Honsberger credits its discovery to Maurice Poirier
Opaque_set
Method for partitioning partial orders into levels
elements of a partially ordered set (the vertices of the graph, with the reachability ordering on the vertex set) into layers (sets of vertices with the same
Coffman–Graham_algorithm
Flow graph invented by Claude Shannon
node. In this case, the node is labeled x {\displaystyle x} . A node is a vertex representing a variable or signal. A source node has only outgoing branches
Signal-flow_graph
Type of sub-graph
vertices in a network G with n vertices as follows: Color coding. Color each vertex of input network G independently and uniformly at random with one of the
Network_motif
Graph representing faces of another graph
graph theory, the dual graph of a planar graph G is a graph that has a vertex for each face of G. The dual graph has an edge for each pair of faces in
Dual_graph
Unproven computational hardness assumption
Hamiltonian cycles, maximum cliques, maximum independent sets, and vertex cover on n {\displaystyle n} -vertex graphs. Conversely, if any of these problems has
Exponential_time_hypothesis
API used in Microsoft DirectX for 3D rendering
latest technology available on 3D graphics cards. Direct3D offers full vertex software emulation but no pixel software emulation for features not available
Direct3D
Subset of the OpenGL API for embedded systems
rendering functions were changed in favor of vertex arrays, and fixed-point data types were introduced for vertex coordinates. Attributes were also added to
OpenGL_ES
Sequence of operations for a task
example, Floyd–Warshall algorithm, the shortest path between a start and goal vertex in a weighted graph can be found using the shortest path to the goal from
Algorithm
Computation machine that uses continuously varying data technology
angle, in trig. terms), a block on a pin fixed to the frame defined the vertex between the hypotenuse and the adjacent side. At any distance along the
Analog_computer
extended to more variables by placing the node for each variable at the vertex of a regular polygon with as many vertices as there are variables. Of course
Flow_graph_(mathematics)
Relation between sides of a right triangle
"legs" are the three sides emanating from the vertex in the foreground. As the depth of the base from the vertex increases, the area of the "legs" increases
Pythagorean_theorem
2023 video game
opposed to older vertex and geometry shading techniques, mesh shaders try to reduce the bottleneck from rendering a large number of fixed vertex triangles by
Alan_Wake_2
Academic field
random from the set of all graphs that comply with this degree sequence. The degree k {\displaystyle k} of a randomly chosen vertex is an independent
Network_science
Construction of an angle equal to one third a given angle
the "handle" (longer segment) crosses the angle's vertex; the trisection line runs between the vertex and the center of the semicircle. While a tomahawk
Angle_trisection
American mass media conglomerate (2025–present)
16, 2026. Retrieved June 16, 2026. "Paramount-Warner Bros deal open for feedback in EU". Mlex. June 17, 2026. Retrieved June 17, 2026. "Paramount Skydance/Warner
Paramount_Skydance
Chatbot developed by Google
which functions as an overlay assistant on Android devices, and through the Vertex AI platform for third-party developers. The release of Gemini has generated
Google_Gemini
Edges crossing all dicuts in a directed graph
graphs, dijoins and feedback arc sets are dual concepts. The dual graph of a directed graph, embedded in the plane, is a graph with a vertex for each face of
Dijoin
Geometric space with four dimensions
resolve the required task that don't use 4D representation/4D reasoning and feedback given by researchers to speed up the adaptation process) and analysis on
Four-dimensional_space
Form taken by the network of interconnections of a circuit
properties of a graph. An edge that is connected to a vertex is said to be incident on that vertex. The incidence of a graph can be captured in matrix format
Circuit_topology_(electrical)
1996 video game
that our vertex system brought. And thus the main character transformed from emotionless "vehicles" to an emotive friend. — Jason Rubin, on vertex animation's
Crash_Bandicoot_(video_game)
Cycle through all length-k sequences
corresponds to a sequence of four digits: the three digits that label the vertex that the edge is leaving followed by the one that labels the edge. If one
De_Bruijn_sequence
Subset of artificial intelligence
Angoss KnowledgeSTUDIO Azure Machine Learning IBM Watson Studio Google Cloud Vertex AI Google Prediction API IBM SPSS Modeller KXEN Modeller LIONsolver Mathematica
Machine_learning
Mathematical model of the physical space
complementary. Complementary angles are formed when a ray shares the same vertex and is pointed in a direction that is in between the two original rays that
Euclidean_geometry
Algorithm that employs a degree of randomness as part of its logic or procedure
Robert (2016-04-01). "Monte-Carlo randomized algorithm for minimal feedback arc set problem". Applied Soft Computing. 41: 235–246. doi:10.1016/j.asoc.2015
Randomized_algorithm
Concept within modeling and systems analysis
directed arch shows how its source vertex changes into the destination vertex along with an associated event and a set of reset models. For example, the
DEVS
maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints, e.g. proper coloring or list
List_of_algorithms
Algorithm that estimates unknowns from a series of measurements over time
to the time delay between issuing motor commands and receiving sensory feedback, the use of Kalman filters provides a realistic model for making estimates
Kalman_filter
AI research laboratory
developed Lyria, a text-to-music model. As of August 2025, it is available on Vertex AI and the Gemini API. On February 18, 2026, DeepMind released Lyria 3.
Google_DeepMind
Concepts from linear algebra
Laplacian), where D is a diagonal matrix with Dii equal to the degree of vertex vi, and in D−1/2, the ith diagonal entry is 1 / deg ( v i ) {\textstyle
Eigenvalues_and_eigenvectors
1997 video game
lot was done like that. If I needed a bit of colour, I'd add it in the vertex." When Super Mario 64 was released in 1996, the 3D collision detection system
GoldenEye_007
American mass media and entertainment conglomerate (2022–present)
16, 2026. Retrieved June 16, 2026. "Paramount-Warner Bros deal open for feedback in EU". Mlex. June 17, 2026. Retrieved June 17, 2026. "Paramount Skydance/Warner
Warner_Bros._Discovery
Desktop Window Manager (UXSS at the time of the build) to run using software vertex emulation. Because of this change past this build, the well-known keys 'UseMachineCheck'
Development_of_Windows_Vista
American financial services company
following the additions of a merchant cash advance offering, a customer feedback product, and an invoicing service. In 2015, Square stated that it processed
Block,_Inc.
American payment card services corporation
company. On April 21, 2016, the agreement was amended in response to the feedback of European Commission. The acquisition of Visa Europe was completed on
Visa_Inc.
American retail company
Thriftway Stores in Cincinnati, Ohio and Reopened as Kroger Stores". kroger-feedback.info. "Kroger kicks off 38th annual Fight Cancer Day". WANE. October 5
Kroger
American multinational technology conglomerate
September 2022, though Meta has expressed satisfaction with its customer feedback. In July 2022, Meta saw its first year-on-year revenue decline when its
Meta_Platforms
2012 video game
Wipeout and is set in the years 2048, 2049, and 2050. The game was designed as a testbed for the PlayStation Vita. Studio Liverpool's feedback on the console's
Wipeout_2048
Detector experiment at CERN
the T0 vertex, providing prompt and accurate confirmation of the location of the primary interaction point along the beam axis within the set boundaries
ALICE_experiment
Single-winner electoral system
problem, of finding weighted feedback arc sets in tournament graphs. As such, many methods for the computation of feedback arc sets can be applied to this problem
Kemeny_method
Collection of multimedia related APIs on Microsoft platforms
support for the use of much longer shader programs than before with pixel and vertex shader version 2.0. Microsoft has continued to update the DirectX suite
DirectX
American social news and discussion site
Google's AI model. The partnership also lets Reddit get access to Google's "Vertex AI" service which would help improve search results on Reddit. It was announced
American multinational coffeehouse chain
community website, My Starbucks Idea, designed to collect suggestions and feedback from customers. Other users could comment and vote on suggestions. Journalist
Starbucks
American video streaming service
patterns, and viewing time. As users interact with the platform and provide feedback with their viewing habits, the recommendation system is able to adapt and
Netflix
States of matter for water as a solid
planes composed of tessellating hexagonal rings, with an oxygen atom on each vertex, and the edges of the rings formed by hydrogen bonds. The planes alternate
Phases_of_ice
American multinational technology company
after release focused on what the customers need, incorporating their feedback. That puts the competition into reaction mode. And of course it helps if
Microsoft
and relationships can be represented with a network or graph, where each vertex (or node) represents an actor and each link represents a relationship.”
Artificial intelligence in marketing
Artificial_intelligence_in_marketing
Series of integrated graphics processors
Retrieved 11 April 2026. Jerez, Francisco (14 April 2017). "mark GL_ARB_vertex_attrib_64bit and OpenGL 4.2 as supported by i965/gen7+". freedesktop.org
Intel_Graphics_Technology
Compact astronomical body
Dal Pino, Elisabete M. (2019). "Intermediate-Mass Black Hole Growth and Feedback in Dwarf Galaxies at High Redshifts". Monthly Notices of the Royal Astronomical
Black_hole
Engineering design method
immediate feedback, a designer can generate solutions and test them rapidly by iterating through many possibilities, each created with a different set of parameters
Parametric_design
American multinational pharmaceutical and biotechnology corporation
reduces transmission; claim by Rob Roos is misleading". Science Feedback. Health Feedback -GB. Archived from the original on September 16, 2024. Retrieved
Pfizer
Czech software company
JetBrains' proprietary models. The collaboration leveraged Google Cloud's Vertex AI to expand the pool of large language models (LLMs) available to AI Assistant
JetBrains
Video game console by Nintendo
released in 1994 and its follow-up DualShock series in 1997 with vibration feedback and two analog sticks to improve the 3D experience. Nintendo and Microsoft
GameCube
Ordering of binary values, used for positioning and error correction
connected vertex-transitive graph contains a Hamiltonian path. The "middle-level" subgraph Q 2 n + 1 ( n ) {\displaystyle Q_{2n+1}(n)} is vertex-transitive
Gray_code
List of games for second-generation VR headset
2025-06-24. @TheBinaryMill (Dec 15, 2023). "With advanced haptic trigger feedback, feel the game like never before. Gun Club Reloaded for PlayStation VR2
List_of_PlayStation_VR2_games
American multinational retail corporation
reported it was planning to remove the self checkout from some stores due to feedback. In August 2024, Walmart announced a new service to transport goods from
Walmart
American financial software company
a variety of articles. This site was up for closure but due to massive feedback, has reminded up. It has however been archived since June 2014, meaning
Intuit
2001 futuristic racing computer video game
closely with NVIDIA to incorporate then new technologies such as pixel and vertex shaders to render complex scenes. Ballistics was marketed by NVIDIA as a
Ballistics_(video_game)
Probabilistic optimization technique and metaheuristic
176,640,000 (2.4 quintillion) states; yet the number of neighbors of each vertex is ∑ k = 1 n − 1 k = n ( n − 1 ) 2 = 190 {\displaystyle \sum _{k=1}^{n-1}k={\frac
Simulated_annealing
American retail corporation
online, and Target Plus prices within 14 days of purchase, citing customer feedback and a focus on internal pricing consistency. Some people jokingly give
Target_Corporation
Medical technology
PMID 32292501. Korthof G. "The implications of Steele's soma-to-germline feedback for human gene therapy". Woods NB, Bottero V, Schmidt M, von Kalle C, Verma
Gene_therapy
American internet services company
June 2021. "– GoDaddy Pulls 2015 Super Bowl Ad After Slew Of Negative Feedback From Animal Advocates". Huffington Post. 2015-01-28. Retrieved 2015-01-27
GoDaddy
American semiconductor manufacturer
measures the depth of chest compressions and provides audible and visual feedback to a rescuer to allow adjustment to proper depth and to the correct rate
Analog_Devices
2004 real-time strategy video game
the full range of conventional animation techniques. We also use special vertex shaders for the animation of trees and other landscape objects. With the
The Settlers: Heritage of Kings
The_Settlers:_Heritage_of_Kings
Ballot measure in Austin, Texas expanding the public transit system
were to materialize at some point in the future. In response to public feedback, the Grove Station option was slightly altered so as to retain the station
Project_Connect
American multinational food corporation
stating that the company values "inclusion". The company received positive feedback for its stand which might attract people to its global workforce. The company
General_Mills
Graphic driver architecture
increasing the state object without the need to create a new one, and additional vertex formats for acceleration structures. Mesh and Amplification Shaders Stages
Windows_Display_Driver_Model
Fretted string instrument
is either a "biscuit" bridge, made of a small piece of hardwood at the vertex of the cone (Nationals), or a "spider" bridge, made of metal and mounted
Guitar
Visible regularity of form found in the natural world
films to meet at each edge at 120° and four soap edges to meet at each vertex at the tetrahedral angle of about 109.5°. Plateau's laws further require
Patterns_in_nature
List of concepts in artificial intelligence
August 2012. A graph is an object consisting of two sets called its vertex set and its edge set. Yoon, Byoung-Ha; Kim, Seon-Kyu; Kim, Seon-Young (March
Glossary of artificial intelligence
Glossary_of_artificial_intelligence
2009 video game
developer to create graphic effects normally seen on other consoles with vertex and pixel shaders." These effects include bump-mapping, reflection and refraction
The_Conduit
3D computer graphics software
released). Service update R10.1 is released in March, in response to bug feedback provided to Maxon by users and testers. Service update R10.111 released
Cinema_4D
Children's books featuring deaf characters
uses lip-reading and speech to communicate. 9-16 yrs YA 2014 The Fifth Vertex (The Sigilord Chronicles #1) Kevin Hoffman The central character, Urus,
List of children's books featuring deaf characters
List_of_children's_books_featuring_deaf_characters
Features added to Windows Vista
subsystem, as well as support for unified pixel shaders, geometry shaders, and vertex shaders. Significant is the elimination of "capability bits" of previous
Features_new_to_Windows_Vista
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