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Graph with directed and undirected edges
In graph theory, a mixed graph G = (V, E, A) is a graph consisting of a set of vertices V, a set of (undirected) edges E, and a set of directed edges (or
Mixed_graph
Vertices connected in pairs by edges
In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some
Graph_(discrete_mathematics)
Trail in a graph that visits each edge once
In graph theory, an Eulerian trail (or Eulerian path) is a trail in a finite graph that visits every edge exactly once (allowing for revisiting vertices)
Eulerian_path
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes
Glossary_of_graph_theory
Area of discrete mathematics
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context
Graph_theory
File format for graphs
undirected, mixed graphs, hypergraphs, and application-specific attributes. A GraphML file consists of an XML file containing a graph element, within
GraphML
Problem in mathematics
The mixed Chinese postman problem (MCPP or MCP) is the search for the shortest traversal of a graph with a set of vertices V, a set of undirected edges
Mixed_Chinese_postman_problem
Graphs that differ only by edge subdivision
In graph theory, two graphs G {\displaystyle G} and G ′ {\displaystyle G'} are homeomorphic if there is a graph isomorphism from some subdivision of G
Homeomorphism_(graph_theory)
Matrix equal to its conjugate-transpose
context, as it is used to analyze the spectra of mixed graphs. The Hermitian-adjacency matrix of a mixed graph is another important concept, as it is a Hermitian
Hermitian_matrix
Graph with multiple edges between two vertices
In mathematics, and more specifically in graph theory, a multigraph is a graph which is permitted to have multiple edges (also called parallel edges)
Multigraph
NP-hard problem in combinatorial optimization
NP-hard problem in combinatorial optimization. In a complete weighted mixed graph, the ring star problem aims to find a minimum cost ring star subgraph
Ring_star_problem
Database using graph structures for queries
A graph database (GDB) is a database that uses graph structures for semantic queries with nodes, edges, and properties to represent and store data. A key
Graph_database
In statistics and Markov modeling, an ancestral graph is a type of mixed graph used to provide a graphical representation for the result of marginalizing
Ancestral_graph
moral graph, two nodes that have a common child are required to be married by sharing an edge. Moralization may also be applied to mixed graphs, called
Moral_graph
Graph defined from a mathematical group
In mathematics, a Cayley graph, also known as a Cayley color graph, Cayley diagram, group diagram, or color group, is a graph that encodes the abstract
Cayley_graph
Mathematical concept
graphs are a way of modeling a system of tasks to be scheduled and timing constraints that must be respected by the schedule. They are mixed graphs,
Disjunctive_graph
minimum graph/travel distance of a mixed graph with undirected edges and directed arcs given capacity constraints for objects that move along the graph that
Capacitated arc routing problem
Capacitated_arc_routing_problem
Equivalence of distributive lattices and set families
the family of initial stable sets in a mixed graph. For a distributive lattice, the corresponding mixed graph has no undirected edges, and the initial
Birkhoff's representation theorem
Birkhoff's_representation_theorem
is a list of events held and scheduled by the ONE Championship (ONE), a mixed martial arts promotion based in Singapore. ONE's inaugural event, ONE FC
List of ONE Championship events
List_of_ONE_Championship_events
Spectral graph theory concept
spectral graph theory, a Ramanujan graph is a regular graph whose spectral gap is almost as large as possible (see extremal graph theory). Such graphs are
Ramanujan_graph
Query language for property graphs
GQL (Graph Query Language) is a standardized query language for property graphs first described in ISO/IEC 39075, released in April 2024 by ISO/IEC. The
Graph_Query_Language
Generalization of graph theory
hypergraph is a generalization of a graph in which an edge can join any number of vertices. In contrast, in an ordinary graph, an edge connects exactly two
Hypergraph
postman problem) for mixed graphs (having both directed and undirected edges). The program is solvable in polynomial time if the graph has all undirected
List_of_NP-complete_problems
Type of chart
A bar chart or bar graph is a chart or graph that presents categorical data with rectangular bars with heights or lengths proportional to the values that
Bar_chart
Equivalence between strongly orientable graphs and bridgeless graphs
orientation of the overall graph. An extension of Robbins' theorem to mixed graphs by Boesch & Tindell (1980) shows that, if G is a graph in which some edges
Robbins'_theorem
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
Category of routing problem minimizing total distance and time
The objective in ARPs and NRPs is to traverse the edges and nodes of a graph, respectively. The objective of arc routing problems involves minimizing
Arc_routing
In graph theory, a strong orientation of an undirected graph is an assignment of a direction to each edge (an orientation) that makes it into a strongly
Strong_orientation
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
Computational problem of graph theory
path problem can be defined for graphs whether undirected, directed, or mixed. The definition for undirected graphs states that every edge can be traversed
Shortest_path_problem
Finding shortest walks through all graph edges
In graph theory and combinatorial optimization, Guan's route problem, the Chinese postman problem, postman tour or route inspection problem is to find
Chinese_postman_problem
combinatorics, algebraic, differential, discrete and Euclidean geometries, graph theory, group theory, mathematical logic, number theory, set theory, Ramsey
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Frederickson, Hecht & Kim (1978), with an equivalent formulation in terms of mixed graphs with directed edges modeling the input pairs and undirected edges modeling
Stacker_crane_problem
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
Material that can form magnetic vortices
superconductor is a superconductor that exhibits an intermediate phase of mixed ordinary and superconducting properties at intermediate temperature and
Type-II_superconductor
by Bellator MMA (formerly known as "Bellator Fighting Championships"), a mixed martial arts organization based in the United States. The first event, Bellator
List_of_Bellator_MMA_events
Function in algebraic graph theory
chromatic polynomial is a graph polynomial studied in algebraic graph theory, a branch of mathematics. It counts the number of graph colorings as a function
Chromatic_polynomial
Plurality voting system
types of mixed systems. Mixed or hybrid system where FPP is used alongside block voting (fully majoritarian/plurality systems) or as part of mixed-member
First-past-the-post_voting
Graph theory problem
optimization problem in graph theory in which the goal is to find a matching of maximum possible total weight in an edge-weighted graph. A matching is an independent
Maximum-weight_matching
General-purpose programming language
Cheetah Construct Cubes CuPy Dask DEAP DeepSpeed Enthought Genshi Gensim graph-tool Horovod Imaging Library IPython JAX Jinja Keras Manim Matplotlib Mako
Python_(programming_language)
Architectural motif in neural networks for aggregating information
representation of the whole graph. The global pooling layer must be permutation invariant, such that permutations in the ordering of graph nodes and edges do not
Pooling_layer
Method to solve optimization problems
fractional coloring of a graph is another example of a covering LP. In this case, there is one constraint for each vertex of the graph and one variable for
Linear_programming
NoSQL database management system
schema-mixed modes. It has a strong security profiling system based on users and roles and supports querying with Gremlin along with SQL extended for graph traversal
OrientDB
the superposition of a graph (the link graph) and a set of trees (the place graph). Each node of the bigraph is part of a graph and also part of some tree
Bigraph
Understanding National Accounts. Paris: OECD 2006. "Eurostat - Tables, Graphs and Maps Interface (TGM) table". Epp.eurostat.ec.europa.eu. Retrieved 2013-03-25
Gross_operating_surplus
Italian computer scientist
Simone (2006). "The Laplacian of a Graph as a Density Matrix: A Basic Combinatorial Approach to Separability of Mixed States". Annals of Combinatorics.
Simone_Severini
Concept in network science
stochastic block model is a generative model for random graphs. This model tends to produce graphs containing communities, subsets of nodes characterized
Stochastic_block_model
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
2026 documentary film by Adrian Choa
According to Theroux, his own search interest was "down near death" in the graph whereas Tate's was "quite high all the way along". However, at the very
Louis Theroux: Inside the Manosphere
Louis_Theroux:_Inside_the_Manosphere
Mathematical optimization problem restricted to integers
NP-hardness. Let G = ( V , E ) {\displaystyle G=(V,E)} be an undirected graph. Define a linear program as follows: min ∑ v ∈ V y v y v + y u ≥ 1 ∀ u
Integer_programming
Large connected component of a random graph
component of a given random graph that contains a significant fraction of the entire graph's vertices. More precisely, in graphs drawn randomly from a probability
Giant_component
Problem in network theory
similarity. Mixed methods combine attribute and topology based methods. Graph embeddings also offer a convenient way to predict links. Graph embedding algorithms
Link_prediction
NP-hard problem in combinatorial optimization
problem Subway Challenge Tube Challenge Vehicle routing problem Graph exploration Mixed Chinese postman problem Arc routing Snow plow routing problem Monge
Travelling_salesman_problem
Hoffman (1944), mathematician known for constructing the Hoffman–Singleton graph Bruce Mazlish (1944), historian and professor at Massachusetts Institute
List of Columbia College people
List_of_Columbia_College_people
Derivative of a function with multiple variables
, y ) = x 2 + x y + y 2 . {\displaystyle z=f(x,y)=x^{2}+xy+y^{2}.} The graph of this function defines a surface in Euclidean space. To every point on
Partial_derivative
Intelligence of machines
21), Domingos (2015, Chapter 4) Gradient calculation in computational graphs, backpropagation, automatic differentiation: Russell & Norvig (2021, sect
Artificial_intelligence
Video-sharing platform
Starting with the Oculus Quest, the app was updated for compatibility with mixed-reality passthrough modes on VR headsets. In April 2024, YouTube VR was
YouTube
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
Idealized thermodynamic cycle
ignition Humphrey Lenoir Miller Otto Scuderi Staged combustion Mixed Combined HEHC Mixed/dual Refrigeration Hampson–Linde Kleemenko Pulse tube Regenerative
Carnot_cycle
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
but also Hongkonger' (係中國人，但都係香港人), or 'Chinese' (中國人)? The "mixed identity" in the graph and table below refer to the combination of "Hongkonger but also
Opinion polling on Hong Kong identity
Opinion_polling_on_Hong_Kong_identity
Equivalence of average-case and expected complexity
the evasiveness of graph properties, the number of tests of the adjacency of pairs of vertices needed to determine whether a graph has a given property
Yao's_principle
K-12 school in Fish Creek, Wisconsin, United States
This graph was using the legacy Graph extension, which is no longer supported. It needs to be converted to the new Chart extension.
Gibraltar_Secondary_School
Refrigerant fluid
Rapid growth of R-410A (HFC-125/HFC-32) atmospheric concentrations, when & IF leaked (bottom-right graph).
R-410A
Layer of an atmosphere where the bulk gases are homogeneously mixed
homosphere is the layer of an atmosphere where the bulk gases are homogeneously mixed due to turbulent mixing or eddy diffusion. The bulk composition of the air
Homosphere
Group of islands in the South Atlantic
"Tristan Da Cunha Climate Guide to the Average Weather & Temperatures with Graphs Elucidating Sunshine and Rainfall Data & Information about Wind Speeds &
Tristan_da_Cunha
U.S. government documents declassified in 2026
files" was on May 22, 2026, following the first release, which received mixed reactions from the public. Belief that the U.S. Government is concealing
United_States_UFO_files
List of Windows 10 operating system versions
("activities"). When users consent to Microsoft data collection via Microsoft Graph, activities can also be synchronized from supported Android and iOS devices
Windows_10_version_history
actor (Scarface, Carlito's Way, Punchline). E. Sampathkumar, 88, Indian graph theorist, lung infection. Annick de Souzenelle, 101, French writer. Talos
Deaths_in_August_2024
Social media platform owned by Meta
would be shown at the top in chronological order while other posts would be mixed in below. Since 2017, Instagram has employed the ability to reduce the prominence
Mathematical operation
respect to time. On the graph of a function, the sign of the second derivative is related to the concavity of the graph. The graph of a function with a positive
Second_derivative
Mathematical combinatorial optimization method
application areas, including: Graph multi-coloring. This is a generalization of the graph coloring problem in which each node in a graph must be assigned a preset
Branch_and_price
Places with less than 50% non-Hispanic white population
from 75% in the late-1970s. At the same time, the Asian, Hispanic, and Mixed race populations have all increased in the District, and it is still classified
Majority minority in the United States
Majority_minority_in_the_United_States
2025 operating system version
macOS 26.4. macOS Tahoe has had mixed feedback. The new "Liquid Glass" UI and changes to the user experience has had mixed reception. The new version has
MacOS_Tahoe
Tabular arrangement of the chemical elements
compounds that appear to be in such intermediate oxidation states are actually mixed-valence compounds, such as Sb2O4, which contains both Sb(III) and Sb(V)
Periodic_table
Design language developed by Apple
likely influenced by Frutiger Aero. Liquid Glass has received a generally mixed response. Some reviewers praised its attempt to emulate the refractive and
Liquid_Glass
uncontacted peoples. The Americas also host millions of individuals of mixed Indigenous, European, and sometimes African or Asian descent, historically
Indigenous peoples of the Americas
Indigenous_peoples_of_the_Americas
twin-width of an undirected graph is a natural number associated with the graph, used to study the parameterized complexity of graph algorithms. Intuitively
Twin-width
Use of an excessive amount of a drug
Control and Prevention. Click on "Rising Rates" tab for a graph. See data table below the graph. NCHS Data Visualization Gallery—Drug Poisoning Mortality
Drug_overdose
American businessman (born 1969)
executive officer (CEO) of the Ultimate Fighting Championship (UFC), a global mixed martial arts organization. In 2025, White's net worth was estimated at over
Dana_White
Human-readable data serialization language
can contain nested lists and hashes, forming a tree structure; arbitrary graphs can be represented using YAML aliases (similar to XML in SOAP). YAML is
YAML
Place of significance listed by UNESCO
A graph representing the number of UNESCO sites inscribed on the World Heritage List each year for each continent
World_Heritage_Site
Spreadsheet editor by Microsoft
iOS and iPadOS. It features calculation or computation capabilities, graphing tools, pivot tables, and a macro programming language called Visual Basic
Microsoft_Excel
Probability that random variable X is less than or equal to x
two red rectangles and their extensions to the right or left up to the graph of F X {\displaystyle F_{X}} ).[clarification needed] In particular, we
Cumulative distribution function
Cumulative_distribution_function
Video game engine and platform
map creation, a terrain system for open worlds, ActionGraph for visual scripting, and ShaderGraph for creating shaders. S&box also supports virtual reality
S&box
Pandemic caused by SARS-CoV-2
pre-pandemic television series and become a central narrative in new ones, with mixed results. Writing for The New York Times about the then-upcoming BBC sitcom
COVID-19_pandemic
radio since September 2024. The following graph presents the average of all polls. The following two graphs present only the polls that are government-aligned
2026 Hungarian parliamentary election
2026_Hungarian_parliamentary_election
Device used for calculations
calculators even have the ability to do computer algebra. Graphing calculators can be used to graph functions defined on the real line, or higher-dimensional
Calculator
Computer compiler optimization technique
register allocation), or across function boundaries traversed via call-graph (interprocedural register allocation). When done per function/procedure
Register_allocation
Decade of the Gregorian calendar (2020–2029)
and low-education men now vote for conservative parties, as shown in the graphs. This is a complete reversal from the 20th century. Lower-income men are
2020s
Mixed/virtual reality headset
lenses, and additional sensors and color passthrough cameras intended for mixed reality (MR) software. The headset received positive reviews, with critics
Meta_Quest_3
would have negative effect for graph neural networks, because the features of inter-class nodes will be falsely mixed and become indistinguishable after
Heterophily
Complete plan on how a game player will behave in every possible game situation
and its impact on normal and extended form games. Nash equilibrium Haven (graph theory) Evolutionarily stable strategy Ben Polak Game Theory: Lecture 1
Strategy_(game_theory)
2024 mobile operating system
on separate sheets, solve mathematical equations, and plot functions on graphs. With integrated handwriting recognition, Math Notes automatically evaluates
IOS_18
Concept in science
normalization in graph Laplacian and explainability of spectral clustering for signed graph partitioning; e.g., Similarly, in spectral graph theory, the eigenvalues
Negative_probability
statistics for India – online on Bluenomics India comparing with China population projection graph Based on data from database of UN Population Division.
Demographics_of_India
2019 Indian film by Sandeep Reddy Vanga
as the protagonist's name, came naturally, considering the character's graph. Kabir Singh has the same punch and madness of Arjun Reddy." Shahid Kapoor
Kabir_Singh
Function of a matrix
hafnian counts perfect matchings in a graph from its adjacency matrix, the permanent counts matchings in a bipartite graph from its biadjacency matrix. The
Hafnian
American multinational technology company
The Wall Street Journal. Retrieved January 14, 2022. "Five year history graph of (NASDAQ:MSFT) stock". ZenoBank. AlphaTrade. September 29, 2009. Archived
Microsoft
Plot using the dispersal of scattered dots to show the relationship between variables
A scatter plot, also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram, is a type of plot or mathematical diagram using
Scatter_plot
MIXED GRAPH
MIXED GRAPH
Girl/Female
Tamil
Fixed
Girl/Female
Hindu
Fixed
Boy/Male
French, Indian, Sanskrit
Fat; A Mixed Caste
Boy/Male
Indian, Marathi
Mixed with Soil
Boy/Male
Hindu, Indian, Kannada, Telugu
Fixed
Girl/Female
Hindu, Indian, Marathi, Sanskrit, Telugu
Immovable; Fixed; Quiet
Surname or Lastname
English (East Anglia)
English (East Anglia) : unexplained.
Boy/Male
Indian, Sanskrit
Well Fixed
Boy/Male
Indian, Sanskrit
Firmly Fixed
Girl/Female
Bengali, Indian, Kannada, Marathi
Firmly Fixed
Girl/Female
Tamil
Fixed
Girl/Female
Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sindhi, Telugu
Fixed
Girl/Female
Tamil
Dhruvika | தà¯à®°à¯à®µà®¿à®•à®¾
Firmly fixed
Dhruvika | தà¯à®°à¯à®µà®¿à®•à®¾
Girl/Female
Assamese, Bengali, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Oriya
Firmly Fixed
Girl/Female
Hindu, Indian, Marathi
Directed; Fixed
Boy/Male
Indian, Sanskrit
Firmly Fixed
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sikh
Mixed Sweet
Girl/Female
Gujarati, Indian
Firmly Fixed
Boy/Male
Indian, Sanskrit
Fixed
Boy/Male
Bengali, Indian
A Mixed Raag
MIXED GRAPH
MIXED GRAPH
Surname or Lastname
Dutch and German
Dutch and German : occupational name for a stonemason or someone who used or made pickaxes or chisel, from bicke ‘pickaxe’, ‘chisel’ + the agent suffix -er. Compare Bick.English : occupational name for a beekeeper, Middle English biker (from Old English bīcere). Bees were important in medieval England because their honey provided the only means of sweetening food (sugar being a more recent importation); honey was also used in preserving.English : habitational name from Bicker in Lincolnshire or Byker in Tyne and Wear, both named with the Old English preposition bī ‘by’, ‘beside’ + Old Norse kjarr ‘wet ground’, ‘brushwood’.Cars Bicker was a wealthy merchant and one of the commissioners to New Netherland under the West India Company’s 1621 charter.
Boy/Male
Hindu
Boy/Male
Hindu
A chamber of the heart
Girl/Female
English American
From the wood of the royal forest. From the royal fortress meadow. A surname and place name...
Girl/Female
Hindu, Indian, Marathi, Tamil
Beautiful
Girl/Female
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Tamil, Telugu
Immeasurable
Biblical
same as Achan
Male
Hawaiian
Hawaiian name NAHELE means "forest."
Boy/Male
Hindu, Indian
Son
Surname or Lastname
English
English : variant spelling of Chestnut.
MIXED GRAPH
MIXED GRAPH
MIXED GRAPH
MIXED GRAPH
MIXED GRAPH
imp. & p. p.
of Mire
a.
Mixed; of mixed material or color.
a.
Fig.: Mixed.
a.
Capable of being mixed.
adv.
In a mixed manner.
imp. & p. p.
of Mine
a.
Stable; non-volatile.
a.
Gray; grayish; sprinkled or mixed with gray; of a mixed white and black.
a.
Formed by mixing; united; mingled; blended. See Mix, v. t. & i.
a.
Mixed with opiates.
n.
One who, or that which, mixes.
n.
Clay mixed with straw.
n.
Mixed mathematics.
n.
A compost heap; a dunghill.
a.
Capable of being mixed.
a.
Mixed; confounded.
imp. & p. p.
of Mix
imp. & p. p.
of Fix
n.
Capability of being mixed.
a.
Securely placed or fastened; settled; established; firm; imovable; unalterable.