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Graph with group-labeled edges
A gain graph is a graph whose edges are labelled "invertibly", or "orientably", by elements of a group G. This means that, if an edge e in one direction
Gain_graph
Flow graph invented by Claude Shannon
A signal-flow graph or signal-flowgraph (SFG), invented by Claude Shannon, but often called a Mason graph after Samuel Jefferson Mason who coined the
Signal-flow_graph
Graph with sign-labeled edges
In the area of graph theory in mathematics, a signed graph is a graph in which each edge has a positive or negative sign. A signed graph is balanced if
Signed_graph
Directed graph whose edges are labelled invertibly by elements of a group
In graph theory, a voltage graph is a directed graph whose edges are labelled invertibly by elements of a group. It is formally identical to a gain graph
Voltage_graph
Topics referred to by the same term
scheduling, in control theory Gain graph, a type of mathematical structure Fusion energy gain factor Weight gain, an increase in human body mass This
Gain
Web page protocol for real-time updates
Facebook's global mapping/tracking tool Social Graph. These pages gain the functionality of other graph objects including profile links and stream updates
Open_Graph_protocol
Methodic assignment of colors to elements of a graph
In graph theory, graph coloring is a methodic assignment of labels traditionally called "colors" to elements of a graph. The assignment is subject to certain
Graph_coloring
Ability of a circuit to increase the power or amplitude of a signal
sometimes hfe (the small-signal current gain, the slope of the graph of Ic against Ib at a point). The gain of an electronic device or circuit generally
Gain_(electronics)
Graph with a list of distinguished cycles
theta graph, then the third circle of the theta graph is also in the list. A biased graph is a generalization of the combinatorial essentials of a gain graph
Biased_graph
Graph divided into two independent sets
In the mathematical field of graph theory, a bipartite graph (or bigraph) is a graph whose vertices can be divided into two disjoint and independent sets
Bipartite_graph
Method in electronic engineering
Mason's gain formula (MGF) is a method for finding the transfer function of a linear signal-flow graph (SFG). The formula was derived by Samuel Jefferson
Mason's_gain_formula
Opening paragraph of a news story
In the structure of written articles in journalism, the nut graph or nut graf (short for "nutshell paragraph") is a paragraph following the lede, or opening
Nut_graph
Type of active circuit electronic filter
signal-flow graph. Draw the signal-flow graph. The nodes of the signal-flow graph will include both voltages and currents. The branch gains will include
Leapfrog_filter
Matroid associated with a group
full G {\displaystyle G} -expansion of an arbitrary graph Γ {\displaystyle \Gamma } . This gain graph has lattice obtained from the Dowling lattice by excluding
Dowling_geometry
Abstraction of linear independence of vectors
matroids have been generalized to matroids from signed graphs, gain graphs, and biased graphs. A graph G {\displaystyle G} with a distinguished linear class
Matroid
Unsolved problem in computational complexity theory
computer science Can the graph isomorphism problem be solved in polynomial time? More unsolved problems in computer science The graph isomorphism problem is
Graph_isomorphism_problem
Subdivision of vertices into disjoint sets
In mathematics, a graph partition is the reduction of a graph to a smaller graph by partitioning its set of nodes into mutually exclusive groups. Edges
Graph_partition
Combinatorial theory of mechanics and discrete geometry
Konstantin; Zaslavsky, Thomas (2005), "Criteria for balance in abelian gain graphs, with applications to piecewise-linear geometry", Discrete & Computational
Structural_rigidity
Physical simulation to visualize graphs
Force-directed graph drawing algorithms are a class of algorithms for drawing graphs in an aesthetically-pleasing way. Their purpose is to position the
Force-directed_graph_drawing
Transformations induced by a mathematical group
spherical triangle (marked in red) under action of the full icosahedral group Gain graph Group with operators Measurable group action Monoid action Young–Deruyts
Group_action
Directed graph where edges have a capacity
In graph theory, a flow network (also known as a transportation network) is a directed graph where each edge has a capacity and each edge receives a flow
Flow_network
Aspect of decision and prospect theories
situation is perceived as worse if it is framed as a loss, rather than a gain. It should not be confused with risk aversion, which describes the rational
Loss_aversion
Process where information about current status is used to influence future status
a graph with the horizontal axis frequency ω and the vertical axis gain. In amplifiers, the loop gain is the difference between the open-loop gain curve
Feedback
Book cataloguing social website
The StoryGraph (or simply StoryGraph) is a social book cataloging platform launched in 2019. Users can rate and review books, keep track of books they
The_StoryGraph
Graph with at most one cycle per component
In graph theory, a pseudoforest is an undirected graph in which every connected component has at most one cycle. That is, it is a system of vertices and
Pseudoforest
Decision support tool
gain function to split the nodes. The main advantages and disadvantages of information gain and phi function One major drawback of information gain is
Decision_tree
graph morphism taking source and sink to v). The loop gain of a vertex v w.r.t. a subgraph H is the gain from source to sink of the signal-flow graph
Noncommutative signal-flow graph
Noncommutative_signal-flow_graph
A flow graph is a form of digraph associated with a set of linear algebraic or differential equations: "A signal flow graph is a network of nodes (or points)
Flow_graph_(mathematics)
Diagram of behavior of finite state systems
classic form of state diagram for a finite automaton (FA) is a directed graph with the following elements (Q, Σ, Z, δ, q0, F): Vertices Q: a finite set
State_diagram
Semantic search engine by Facebook
Facebook Graph Search was a semantic search engine that Facebook introduced in March 2013. It was designed to give answers to user natural language queries
Facebook_Graph_Search
Graph of the frequency response of a control system
devised a simple but accurate method for graphing gain and phase-shift plots. These bear his name, Bode gain plot and Bode phase plot. "Bode" is often
Bode_plot
Browser-based graphing calculator
bring sound to their graphs, allowing them to produce tones of a given frequency and gain. Users can create accounts and save the graphs and plots that they
Desmos
Graph database implemented in Java
global graph intelligence company that provides technology for analyzing and managing connected data. It is most known for creating the Neo4j Graph database
Neo4j
Graph without four-vertex star subgraphs
generalization of line graphs, and gained additional motivation through three key discoveries about them: the fact that all claw-free connected graphs of even order
Claw-free_graph
Graphical means of performing computations in linear algebra
mathematics, they have been used to study character varieties. Multilinear map Gain graph Books: Diagram Techniques in Group Theory, G. E. Stedman, Cambridge University
Trace_diagram
Intersection graph of convex polygons whose vertices lie on a common circle
graph theory, a polygon-circle graph is an intersection graph of a set of convex polygons all of whose vertices lie on a common circle. These graphs have
Polygon-circle_graph
asymptotic gain expression. The asymptotic gain relation also can be expressed as a signal flow graph. See Figure 2. The asymptotic gain model is a special
Asymptotic_gain_model
Range of usable frequencies
point refers to the point where the gain is x dB below the nominal passband gain rather than x dB below the maximum gain. In signal processing and control
Bandwidth_(signal_processing)
Structuring text as input to generative artificial intelligence
frequent retraining. GraphRAG (coined by Microsoft Research) is a technique that extends RAG with the use of a knowledge graph to allow the model to
Prompt_engineering
Pan-genome Graph Construction Methodology
Pan-genome graph construction is the process of creating a graph-based representation of the collective genome (the pan-genome) of a species or a group
Pan-genome_graph_construction
Village in Russia
North Ingria. During the time of de facto independence, the region would gain its first hospital and proper infrastructure. In 1926, Kirjasalo became a
Kirjasalo
Digital forensic technique
through currency conversion. Some cryptocurrency tracing specialists use graphs to represent wallets and transactions. The visual representation of blockchain
Cryptocurrency_tracing
Inverse sum of distances in a graph
In a connected graph, closeness centrality (or closeness) of a node is a measure of centrality in a network, calculated as the reciprocal of the sum of
Closeness_centrality
Graph showing unequal income growth
elephant curve, also known as the Lakner-Milanovic graph or the global growth incidence curve, is a graph that illustrates the unequal distribution of income
Elephant_curve
Classical method used to design feedback control systems
system is often expressed as a Signal-flow graph and its overall transfer function can be computed from Mason's Gain Formula. Kuo, Benjamin C. (1991), Automatic
Minor_loop_feedback
Parameter of electronic amplifiers
the frequency response of the loop gain. It is also assumed that the graph of gain vs. frequency crosses unity gain with a negative slope and does so only
Phase_margin
On minimizing crossings in bicliques
bipartite graph be drawn with fewer crossings than the number given by Zarankiewicz? More unsolved problems in mathematics In the mathematics of graph drawing
Turán's_brick_factory_problem
date on which said acts came into force, known as the day on which Belize gained sovereignty or independence from the UK, ie 21 September 1981 (1981-09-21)
Periodisation of the history of Belize
Periodisation_of_the_history_of_Belize
Indian politician
October 2019. Retrieved 31 March 2019. "Ahirwal region, Karnal dist big gainers in new Haryana Cabinet". The Economic Times. 26 October 2014. Retrieved
Rao_Narbir_Singh
All opinion polls. Up to 95% polling results of the graph are sourced from pollsters affiliated to the president Putin and the Presidential Administration
Opinion polling for the 2026 Russian legislative election
Opinion_polling_for_the_2026_Russian_legislative_election
Models signal dispersion by representing the radio propagation environment by a graph
Propagation graphs are a mathematical modelling method for radio propagation channels. A propagation graph is a signal flow graph in which vertices represent
Propagation_graph
Network service attack performed by multiple fake identities
system by creating a large number of pseudonymous identities and uses them to gain a disproportionately large influence. It is named after the subject of the
Sybil_attack
Graphical technique for data sets
plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables. The plot can be
Plot_(graphics)
Mathematical tree with cycle through leaves
In graph theory, a Halin graph is a type of planar graph, constructed by connecting the leaves of a tree into a cycle. The tree must have at least four
Halin_graph
Intelligence in machines
21), Domingos (2015, Chapter 4) Gradient calculation in computational graphs, backpropagation, automatic differentiation: Russell & Norvig (2021, sect
Artificial_intelligence
Video-sharing platform
sensationalism". It also found more "mainstream-adjacent Conservative creators" gaining over alt-right and extremist videos by 2020. A 2022 study found that "despite
YouTube
Machine learning algorithm
decision graph, it is possible to use disjunctions (ORs) to join two more paths together using minimum message length (MML). Decision graphs have been
Decision_tree_learning
Planar maps require at most four colors
terms of graph theory, by considering it in terms of constructing a graph coloring of the planar graph of adjacencies between regions. In graph-theoretic
Four_color_theorem
the ground (which directly affects a station's coverage area) on a polar graph. Normally the maximum of 1.000 or 0 dB is at the top, which is labeled 0°
Vertical and horizontal (radio propagation)
Vertical_and_horizontal_(radio_propagation)
Concept in game theory
functions while enabling equilibrium analysis in economic models. Graph continuity gained prominence through the work of Partha Dasgupta and Eric Maskin
Graph_continuous_function
American multinational technology company
Mobility for $12.5 billion. This purchase was made in part to help Google gain Motorola's considerable patent portfolio on mobile phones and wireless technologies
type-based program analysis polymorphic recursion is often essential in gaining high precision of the analysis. Notable examples of systems employing polymorphic
Polymorphic_recursion
President of the United States (2017–2021; since 2025)
Volodymyr Zelenskyy to investigate Joe and Hunter Biden, in an attempt to gain an advantage in the 2020 presidential election. In December 2019, the House
Donald_Trump
Snake-in-the-box Snefru Soft output Viterbi algorithm Sparse graph code Syndrome decoding Tanner graph Ternary Golay code Tiger (hash function) Transverse redundancy
List of algebraic coding theory topics
List_of_algebraic_coding_theory_topics
American entrepreneur and venture capitalist (born 1967)
original on 21 July 2017. Retrieved 30 June 2017. "USCF Ratings History Graph for 12056150: Peter Thiel". United States Chess Federation. Archived from
Peter_Thiel
Combinatorial optimization problem
describing the problem using graph theory: The assignment problem consists of finding, in a weighted bipartite graph, a matching of maximum size, in
Assignment_problem
Five-pointed star polygon
space Pentalpha – Puzzle involving stones and a pentagram Petersen graph – Cubic graph with 10 vertices and 15 edges Ptolemy's theorem – Relates the 4 sides
Pentagram
Social media platform owned by Meta
said that this is to prevent abuse and so that hashtags do not help users gain views, but it has been noted that using hashtags is the only free method
Classification of algorithm
(see, for example, Reingold's algorithm for connectivity in undirected graphs). As Lipton states: This alone could be important and often is a great reason
Galactic_algorithm
Open-source data analytics cluster computing framework
Malak, Michael (14 June 2016). "Finding Graph Isomorphisms In GraphX And GraphFrames: Graph Processing vs. Graph Database". slideshare.net. sparksummit
Apache_Spark
Free online crowdsourced encyclopedia
be due to errors in counting, other experts feel that Google's Knowledge Graphs project launched last year may be gobbling up Wikipedia users." When contacted
Wikipedia
Global system of connected computer networks
International Telecommunication Union (ITU). Retrieved 25 May 2015. Internet users graphs Archived 9 May 2020 at the Wayback Machine, Market Information and Statistics
Internet
Concept in machine learning
designs of machine learning in the form of tensor graphs. This leads to new architectures, such as tensor-graph convolutional networks (TGCN), which identify
Tensor_(machine_learning)
2025 memoir by Sarah Wynn-Williams
accused Zuckerberg of having been willing to censor content in order to gain access to the Chinese market. The title of the book is a quotation from F
Careless_People
Town in Obock, Djibouti
dry but subject to flooding. "Climate: Alaili Dadda - Climate graph, Temperature graph, Climate table". Climate-Data.org. Retrieved 25 September 2014
ʽAlaili_Dadda
Concept in mathematical modelling
Does "Explained Variance" Explain?: Reply". Political Analysis. 2 (1): 173–184. doi:10.1093/pan/2.1.173. Explained and Unexplained Variance on a graph
Explained_variation
Resonator damping parameter
system is made more oscillatory (i.e., has a higher quality factor). A unity-gain Sallen–Key lowpass filter topology with equal capacitors and equal resistors
Q_factor
AI chatbot developed by Microsoft
Spataro, the head of Microsoft 365, Copilot for Microsoft 365 uses Microsoft Graph, an API, to evaluate context and available Microsoft 365 user data before
Microsoft_Copilot
Social networking service owned by Meta Platforms
that "Facebook was surprised we were able to suck out the whole social graph, but they didn't stop us once they realised that was what we were doing"
American baseball player (born 1983)
Retrieved August 1, 2017. Major League Leader board 2009: Pitchers FanGraph.com Beck, Jason (February 4, 2010). "Tigers announce Verlander deal". MLB
Justin_Verlander
Country in Northwestern Europe
archived from the original on 5 July 2019, retrieved 10 December 2019 Tables, Graphs and Maps Interface (TGM) table. Eurostat (26 February 2013). Retrieved 12
United_Kingdom
Graph of opinion polls conducted in Scotland
Opinion polling for the next United Kingdom general election
Opinion_polling_for_the_next_United_Kingdom_general_election
the Königsberg bridge problem is considered to be the first theorem of graph theory. In addition, his recognition that the key information was the number
Contributions of Leonhard Euler to mathematics
Contributions_of_Leonhard_Euler_to_mathematics
Online platform for coding interview preparation
windows, linked lists, trees, tries, backtracking, heaps, priority queues, graphs, breadth-first search, depth-first search, dynamic programming, greedy algorithms
LeetCode
Idealized thermodynamic cycle
transferring thermal energy between the thermal reservoirs and the system without gain or loss. When work is applied to the system, heat moves from the cold to
Carnot_cycle
Professional network website
analytics Inspired by Facebook's "social graph", LinkedIn CEO Jeff Weiner set a goal in 2012 to create an "economic graph" within a decade. The goal was to create
Application platform accessing Facebook's social network
The Open Graph protocol enables developers to integrate their pages into Facebook's global mapping/tracking tool Social Graph. These pages gain the functionality
Facebook_Platform
Plurality voting system
plurality or even majority of the votes cast overall, yet still failing to gain a plurality of legislative seats. This results in a situation called a majority
First-past-the-post_voting
Social network exclusively for AI agents
reverse CAPTCHA system was introduced to filter out humans. The platform gained viral attention upon its release and launched alongside a cryptocurrency
Moltbook
Yasyazaru in Baki the Grappler, Trailmon in Digimon Frontier, Nishiya in Speed Grapher, Taiin in Code Geass), dies at age 57. November 13: Dan Hennessey, Canadian
2024_in_animation
Device that emits light via optical amplification
state, reducing the gain of the medium. With increasing beam power, the net gain (gain minus loss) reduces to unity and the gain medium is said to be
Laser
2025 operating system version
font and weight of the clock. Spotlight Search has been redesigned and gains quick actions, "quick-key" shortcuts, third-party API support, a completely
MacOS_Tahoe
President of the United States from 2009 to 2017
the 2016 U.S. elections. He ordered military intervention in Iraq after gains made by ISIL following the 2011 withdrawal from Iraq, negotiated the Joint
Barack_Obama
Sliding block puzzle
magazine where it was called "Guan Yu Releases Cao Cao"; some years later, it gained the revolutionary name of "Chase Away the Paper Tiger" when it was published
Klotski
Network whose degree distribution follows a power law
transformation which converts random graphs to their edge-dual graphs (or line graphs) produces an ensemble of graphs with nearly the same degree distribution
Scale-free_network
Coronet Films; the Chudnovsky brothers; fractals come from plotting on a graph imaginary numbers against real numbers and have self-similarity, and Ian
List_of_Equinox_episodes
with hundreds of collaborators. He worked on problems in combinatorics, graph theory, number theory, classical analysis, approximation theory, set theory
List of atheists in science and technology
List_of_atheists_in_science_and_technology
Global stock market crash
one-day gain since 2008. The Dow Jones rose 7.87%, for its biggest gain since March 2020, and the Nasdaq rose 12.16% for its largest one-day gain since
2025_stock_market_crash
publications that Deryk Osthus wanted to figure out, and gain more reliable and valid information on graph theories and other detailed areas. Throughout the
Deryk_Osthus
Knowledge Graph which when clicked, makes confetti explode. "panipuri( see it )" will show three types of panipuris in the Knowledge Graph, which when
List_of_Google_Easter_eggs
travel, tourism, insurance
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travel, tourism, insurance