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Algorithmically defined graph
In the study of graph algorithms, an implicit graph representation (or more simply implicit graph) is a graph whose vertices or edges are not represented
Implicit_graph
On converting relations to functions of several real variables
algebraically, and the implicit function theorem gives analytic conditions under which there exists a function f {\displaystyle f} whose graph belongs to the
Implicit_function_theorem
Problem in math and computer science
a graph of implicit states, which is of exponential size in the size of the description. In symbolic model checking, the model (the underlying graph) is
Reachability_problem
edge of a graph is at least 1, is the multiset of all edge imbalances always graphic? The implicit graph conjecture on the existence of implicit representations
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
Type of knowledge base
knowledge graph is a knowledge base that uses a graph-structured data model or topology to represent and operate on data. Knowledge graphs are often used
Knowledge_graph
Algorithm to search the nodes of a graph
tree or graph data structures. The algorithm starts at the root node (selecting some arbitrary node as the root node in the case of a graph) and explores
Depth-first_search
Relation between deterministic and nondeterministic space complexity
configurations in this graph is O ( 2 f ( n ) ) {\displaystyle O(2^{f(n)})} , from which it follows that applying the algorithm to this implicit graph uses space
Savitch's_theorem
Graph with same nodes as but complementary connections to another
studied algorithms that perform standard graph computations on the complement of an input graph, using an implicit graph representation that does not require
Complement_graph
Class of artificial neural networks
Graph neural networks (GNNs) are artificial neural networks designed for tasks whose inputs are graphs. Because graphs usually do not have a canonical
Graph_neural_network
Mathematical operation in calculus
globally as the graph of a single function y = f ( x ) {\displaystyle y=f(x)} , but its upper and lower arcs can each be differentiated implicitly. The method
Implicit_differentiation
Square matrix used to represent a graph or network
In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether
Adjacency_matrix
Mathematical relation consisting of a multi-variable function equal to zero
refer to the implicit solution y = f(x) involving the multi-valued implicit function f. Not every equation R(x, y) = 0 implies a graph of a single-valued
Implicit_function
Association of one output to each input
is uniquely represented by the set of all pairs (x, f (x)), called the graph of the function, a popular means of illustrating the function. When the
Function_(mathematics)
Representation of a mathematical function
In mathematics, the graph of a function f {\displaystyle f} is the set of ordered pairs ( x , y ) {\displaystyle (x,y)} , where f ( x ) = y . {\displaystyle
Graph_of_a_function
Sliding puzzle with fifteen pieces and one space
1016/S0747-7171(08)80001-6. Richard E. Korf, Linear-time disk-based implicit graph search, Journal of the ACM Volume 55 Issue 6 (December 2008), Article
15_puzzle
Algorithm to search the nodes of a graph
the application of graph traversal methods in artificial intelligence the input may be an implicit representation of an infinite graph. In this context
Breadth-first_search
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
Data organization and storage formats
graph-based data structures are used in computer science and related fields: Graph Adjacency list Adjacency matrix Graph-structured stack Scene graph
List_of_data_structures
Study of rates of change
called the zero set of f, and is not the same as the graph of f, which is a paraboloid. The implicit function theorem converts relations such as f(x, y)
Differential_calculus
Graphical representation of a computer program or algorithm
In computer science, a control-flow graph (CFG) is a representation, using graph notation, of all paths that might be traversed through a function during
Control-flow_graph
Plane curve defined by an implicit equation
coordinates) by any of three methods, one of which is the implicit equation given above. The graph of a function is usually described by an equation y = f
Implicit_curve
Complexity class
instance D L {\displaystyle D_{L}} has the structure of an implicit graph (also called Transition graph ), the vertices being the solutions with two solutions
PLS_(complexity)
Directed graph representing overlaps between sequences of symbols
In graph theory, an n-dimensional De Bruijn graph of m symbols is a directed graph representing overlaps between sequences of symbols. It has mn vertices
De_Bruijn_graph
Surface in 3D space defined by an implicit function of three variables
zeros of a function of three variables. Implicit means that the equation is not solved for x or y or z. The graph of a function is usually described by
Implicit_surface
Instantaneous rate of change (mathematics)
chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point. The tangent line is the best linear approximation
Derivative
Point where the derivative of a function is zero or undefined (in certain cases)
y-axis, and that, at this point, g does not define an implicit function from x to y (see implicit function theorem). If (x0, y0) is such a critical point
Critical_point_(mathematics)
Every graph has evenly many odd vertices
large implicitly-defined graph. An undirected graph consists of a system of vertices, and edges connecting unordered pairs of vertices. In any graph, the
Handshaking_lemma
Open-source data analytics cluster computing framework
processing. Spark provides an interface for programming clusters with implicit data parallelism and fault tolerance. Originally developed at the University
Apache_Spark
Type of diagrammatic notation for propositional logic
An existential graph is a type of diagrammatic or visual notation for logical expressions, created by Charles Sanders Peirce, who wrote on graphical logic
Existential_graph
"the dependency graph of packages or components should have no cycles". This implies that the dependencies form a directed acyclic graph. In this UML package
Acyclic dependencies principle
Acyclic_dependencies_principle
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
Mathematical idealization of the surface of a body
the graph of a continuous function of two variables. The set of the zeros of a function of three variables is a surface, which is called an implicit surface
Surface_(mathematics)
Mathematical concept
Center. Balas, Egon (1969), "Machine sequencing via disjunctive graphs: An implicit enumeration algorithm", Operations Research, 17: 941–957, doi:10
Disjunctive_graph
algorithm generates the combinatorial objects in a state space, an implicit graph whose vertices are the objects to be listed and whose edges represent
Reverse-search_algorithm
Programming paradigm based on asynchronous data streams
graph: The graph of dependencies are maintained implicitly within an event loop. Registration of explicit callbacks then results in creating implicit
Reactive_programming
commuting graph was first introduced for groups in 1955, although the term 'commuting graph' was not coined until 1983. They played a implicit role in Bernd
Commuting_graph
Operation in mathematical calculus
computes the signed area of the region in the plane that is bounded by the graph of a given function between two points in the real line. Conventionally
Integral
is implicitly assumed to be finite unless stated otherwise. A graph dynamical system is constructed from the following components: A finite graph Y with
Graph_dynamical_system
Statement in mathematical combinatorics
its graph-theoretic forms, states that one will find monochromatic cliques in any edge labelling (with colours) of a sufficiently large complete graph. As
Ramsey's_theorem
Type of artificial neural network
In machine learning, a neural field (also known as implicit neural representation, neural implicit, or coordinate-based neural network), is a mathematical
Neural_field
Skills, ideas and experiences
Tacit knowledge or implicit knowledge is knowledge that is difficult to extract or articulate—as opposed to conceptualized, formalized, codified, or explicit
Tacit_knowledge
Computing language
The=9 Which movies are most central in the implicit 5-stars graph? gremlin> g = graph.traversal(computer(SparkGraphComputer)) ==>graphtraversalsource[hado
Gremlin_(query_language)
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
Process of generalization
scores of implied relationships as implicit in the picture rather than with the nine explicit details in the graph. Graph 1 details some explicit relationships
Abstraction
Study of discrete mathematical structures
continuous functions). Objects studied in discrete mathematics include integers, graphs, and statements in logic. By contrast, discrete mathematics excludes topics
Discrete_mathematics
Tree representation of the abstract syntactic structure of source code
structural or content-related details. For instance, grouping parentheses are implicit in the tree structure, so these do not have to be represented as separate
Abstract_syntax_tree
Topological invariant in mathematics
that a connected graph maps to a polygonal decomposition of the sphere, which has Euler characteristic 2. This viewpoint is implicit in Cauchy's proof
Euler_characteristic
Series of Casio graphing calculators
cannot plot any implicit function of two variables, while the Texas Instrument's TI-89 series can. In addition to the simple graphing tool, the calculator
Casio_Algebra_FX_Series
In mathematics, a topological graph is a representation of a graph in the plane, where the vertices of the graph are represented by distinct points and
Topological_graph
connection with the study of graph algorithms for graphs defined in an implicit graph model, where an algorithm has access to the graph only through a subroutine
Evasive_Boolean_function
Mathematical measure of how much a curve or surface deviates from flatness
be derived from the expression of the curvature of the graph of a function by using the implicit function theorem and the fact that, on such a curve, one
Curvature
group is equipped with a further oracle for determining element orders. Implicit graph Matroid oracle Babai, L.; Szemeredi, E. (1984). "On the Complexity of
Black_box_group
Computer compiler optimization technique
number of live ranges. The traditional formulation of graph-coloring register allocation implicitly assumes a single bank of non-overlapping general-purpose
Register_allocation
Clustering methods
mass-spring system is exactly the same as the eigenvalue problem for the graph Laplacian matrix defined as L := D − A {\displaystyle L:=D-A} , where D
Spectral_clustering
Method of analyzing variables in software
known values is empty. If the control-flow graph does not contain cycles (there were no explicit or implicit loops in the procedure) solving the equations
Data-flow_analysis
Subroutine for testing independence
Black box group, an oracle-like model for group theory Implicit graph, an oracle-like model for graph algorithms Robinson & Welsh (1980); Hausmann & Korte
Matroid_oracle
Polynomial function of degree two
polynomial are nearly synonymous and often abbreviated as quadratic. The graph of a real single-variable quadratic function is a parabola. If a quadratic
Quadratic_function
Graph used in fluid dynamics
engineering, the Moody chart or Moody diagram (also Stanton diagram) is a graph in non-dimensional form that relates the Darcy–Weisbach friction factor
Moody_chart
Curve along which a 3-D surface is at equal elevation
equal value to the state. It is a plane section of the three-dimensional graph of the function f ( x , y ) {\displaystyle f(x,y)} parallel to the ( x
Contour_line
Abstract syntax representing expressions as graphs
semantic graph (ASG) or term graph is a form of abstract syntax in which an expression of a formal or programming language is represented by a graph whose
Abstract_semantic_graph
Upper bound on a graph's Shannon capacity
In graph theory, the Lovász number of a graph is a real number that is an upper bound on the Shannon capacity of the graph. It is also known as Lovász
Lovász_number
Online representation of a person's views and desires to learn
An interest graph is a digital portrayal of an individual's specific interests. Its perceived utility and value stem from the premise that a person's
Interest_graph
Limit of the tangent line at a point that tends to infinity
oblique. For curves given by the graph of a function y = ƒ(x), horizontal asymptotes are horizontal lines that the graph of the function approaches as x
Asymptote
In mathematics, a fibration of graphs, or graph fibration, is a homomorphism of directed graphs that satisfies a unique lifting property analogous to that
Fibrations_of_graphs
Knowledge base that represents semantic relations between concepts in a network
used as a form of knowledge representation. It is a directed or undirected graph consisting of vertices, which represent concepts, and edges, which represent
Semantic_network
In mathematics, straight line touching a plane curve without crossing it
differentiable curve can also be thought of as a tangent line approximation, the graph of the affine function that best approximates the original function at the
Tangent
Statistical models for network analysis
Exponential family random graph models (ERGMs) are a set of statistical models used to study the structure and patterns within networks, such as those
Exponential family random graph models
Exponential_family_random_graph_models
Euler's formula, e ix = cos x + i sin x Euler's polyhedral formula for planar graphs or polyhedra: v − e + f = 2, a special case of the Euler characteristic
List of topics named after Leonhard Euler
List_of_topics_named_after_Leonhard_Euler
Processing of natural language by a computer
Natural language understanding below). Semantic role labelling (see also implicit semantic role labelling below) Given a single sentence, identify and disambiguate
Natural_language_processing
Limited form of tree data structure
and S is a singleton (a single–element set) containing the root. From a graph theory perspective, binary trees as defined here are arborescences. A binary
Binary_tree
Cycles in a graph that generate all cycles
In graph theory, a branch of mathematics, a cycle basis of an undirected graph is a set of simple cycles that forms a basis of the cycle space of the
Cycle_basis
Mathematical function
by using theorem differentiation under the integral sign. A real-valued implicit function of a real variable is not written in the form "y = f(x)". Instead
Function_of_a_real_variable
Feature of some statistical distributions
(Jeffrey) Hu, and Michael D. Smith, who first used a log-linear curve on an XY graph to describe the relationship between Amazon.com sales and sales ranking
Long_tail
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
a universal graph is an infinite graph that contains every finite (or at-most-countable) graph as an induced subgraph. A universal graph of this type
Universal_graph
Square matrix containing the distances between elements in a set
In mathematics, computer science and especially graph theory, a distance matrix is a square matrix (two-dimensional array) containing the distances, taken
Distance_matrix
Topics referred to by the same term
the minimization of states in a state machine Implication graph, a skew-symmetric directed graph used for analyzing complex Boolean expressions Implication
Implication
Algorithm in computer graphics to add color or texture
variations: eight-way and four-way respectively. The earliest-known, implicitly stack-based, recursive, four-way flood-fill implementation goes as follows:
Flood_fill
Scientific data analysis software
etc. 2012/10 Origin 9 with high performance OpenGL 3D Graphing, orthogonal regression for implicit/explicit functions 2011/11 Origin 8.6, first version
Origin (data analysis software)
Origin_(data_analysis_software)
Computer approximation for real numbers
or comma) there. If the radix point is not specified, then the string implicitly represents an integer and the unstated radix point would be off the right-hand
Floating-point_arithmetic
Class of search algorithms
computer science search methods because the state space is implicit: the typical state-space graph is much too large to generate and store in memory. Instead
State-space_search
Type of memory referring to general world knowledge
recalled and "declared". The counterpart to declarative or explicit memory is implicit memory (also known as nondeclarative memory). The idea of semantic memory
Semantic_memory
Permissive free software license
This has been construed by some commentators as an unconventional but implicit license in the US to use any underlying patents. According to a 2020 post
MIT_License
Machine learning framework
parametrizing κ ϕ {\displaystyle \kappa _{\phi }} as an implicit neural network, results in the graph neural operator (GNO). There have been various parameterizations
Neural_operators
Algebraic curve
Descartes (from Latin folium 'leaf') is an algebraic curve defined by the implicit equation x 3 + y 3 − 3 a y x = 0 {\displaystyle x^{3}+y^{3}-3ayx=0} . It
Folium_of_Descartes
Aspect of information processing
nature. Semantic queries enable the retrieval of both explicitly and implicitly derived information based on syntactic, semantic and structural information
Semantic_query
Number of forests a graph's edges may be partitioned into
Zaroliagis, Christos D. (1997), "Efficient computation of implicit representations of sparse graphs", Discrete Appl. Math., 78 (1–3): 1–16, doi:10
Arboricity
Overview of the graphic calculators made by Casio
Casio produced the world's first graphing calculator, the fx-7000G. Since then, the company has released many more graphic calculators, with the FX-CG100
Casio_graphic_calculators
algorithm for constructing maximum-cardinality matching on graphs. Coloring algorithm: algorithms for graph (vertex or edge) coloring (subject to constraints,
List_of_algorithms
Topological space that locally resembles Euclidean space
nondegeneracy hypothesis of the implicit function theorem. In the third section, he begins by remarking that the graph of a continuously differentiable
Manifold
Clustering and community detection algorithm
function aggregateGraph returns a new graph whose vertices are the partition of the old graph, and whose edges are calculated using the old graph. This function
Louvain_method
Property of some mathematical operations
multiplication and addition of numbers, are commutative was for many centuries implicitly assumed. Thus, this property was not named until the 19th century, when
Commutative_property
Plane curve: conic section
parallel to another plane that is tangential to the conical surface. The graph of a quadratic function y = a x 2 + b x + c {\displaystyle y=ax^{2}+bx+c}
Parabola
Mathematical concept
\mathbb {N} ^{k}\to \mathbb {N} } is called arithmetically definable if the graph of f {\displaystyle f} is an arithmetical set. A real number is called arithmetical
Arithmetical_set
Graph partition into regular subgraphs
In extremal graph theory, Szemerédi's regularity lemma states that a graph can be partitioned into a bounded number of parts so that the edges between
Szemerédi_regularity_lemma
Software resource tracking technique
collection schemes, it is often helpful to think of the reference graph, which is a directed graph where the vertices are objects and there is an edge from an
Reference_counting
Mathematical function with multiple real-number arguments
vectors of multivariable functions, see matrix calculus. A real-valued implicit function of several real variables is not written in the form "y = f(…)"
Function of several real variables
Function_of_several_real_variables
Partitioning a digital image into segments
estimates the difference in energy of each newly formed graph to the initial data. If the newly formed graph is more profitable, in terms of low energy cost,
Image_segmentation
Line or vector perpendicular to a curve or a surface
-{\tfrac {\partial f}{\partial y}},1\right);} or more simply from its implicit form F ( x , y , z ) = z − f ( x , y ) = 0 , {\displaystyle F(x,y,z)=z-f(x
Normal_(geometry)
Performing order of mathematical operations
for standardized textbooks grew. Ambiguity about issues such as whether implicit multiplication takes precedence over explicit multiplication and division
Order_of_operations
IMPLICIT GRAPH
IMPLICIT GRAPH
Girl/Female
Hindu, Indian, Tamil
One with Simplicity; Special Person of All Beings
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Spanish American Italian Latin
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Boy/Male
Indian, Punjabi, Sikh
Love for Simplicity
Surname or Lastname
German (also Gräff), Dutch, and Jewish (Ashkenazic)
German (also Gräff), Dutch, and Jewish (Ashkenazic) : variant of Graf.English : metonymic occupational name for a clerk or scribe, from Anglo-Norman French grafe ‘quill’, ‘pen’ (a derivative of grafer ‘to write’, Late Latin grafare, from Greek graphein).
Surname or Lastname
English
English : from Old English Englisc. The word had originally distinguished Angles (see Engel) from Saxons and other Germanic peoples in the British Isles, but by the time surnames were being acquired it no longer had this meaning. Its frequency as an English surname is somewhat surprising. It may have been commonly used in the early Middle Ages as a distinguishing epithet for an Anglo-Saxon in areas where the culture was not predominantly English--for example the Danelaw area, Scotland, and parts of Wales--or as a distinguishing name after 1066 for a non-Norman in the regions of most intensive Norman settlement. However, explicit evidence for these assumptions is lacking, and at the present day the surname is fairly evenly distributed throughout the country.Irish : see Golightly.
Girl/Female
Indian
Simplicity and purity
Boy/Male
Indian, Punjabi, Sikh
Victory of Simplicity
Girl/Female
Bengali, Hindu, Indian, Kannada, Marathi, Sanskrit, Tamil, Telugu
Goddess Laxmi; Prosperity; Simplicity; Lovable; Affectionate; Wealthy; Fortunate
Boy/Male
Hindu, Indian
More Polite; Simplicity
Girl/Female
Tamil
Hitansi | ஹிதாஂஸீ
Simplicity and purity
Hitansi | ஹிதாஂஸீ
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Girl/Female
Tamil
Hitanshi | ஹிதாஂஷீÂ
Simplicity and purity
Hitanshi | ஹிதாஂஷீÂ
Girl/Female
Greek Latin Spanish
Pastoral simplicity and happiness.
Boy/Male
Italian Spanish
Enduring. The poet Dante Alighieri wrote The Divine Comedy with its graphic description of...
Girl/Female
Indian
Simplicity and purity
Girl/Female
Assamese, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Sanskrit, Tamil, Telugu
Virtuous Woman; Simplicity
IMPLICIT GRAPH
IMPLICIT GRAPH
Surname or Lastname
English
English : variant spelling of Swan.
Boy/Male
Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Morning Sun
Male
English
Anglicized form of Latin Premislaus, PREMYSLAS means "cunning."
Boy/Male
Muslim
Another name of God, Unequalled, Unique
Girl/Female
Indian, Tamil
Beautiful Ladies who Dance in the Court of Indra; Rambha; Urvasi; Menaka
Boy/Male
Australian, Finnish
Happiness; Luck
Boy/Male
Indian
Poet and Writer
Boy/Male
Tamil
Trithesh | தà¯à®°à¯€à®¤à¯‡à®·
Boy/Male
Tamil
Leader, Senior, First born, Eldest brother
Boy/Male
Australian, French, German
Child of Easter
IMPLICIT GRAPH
IMPLICIT GRAPH
IMPLICIT GRAPH
IMPLICIT GRAPH
IMPLICIT GRAPH
n.
Simplicity.
n.
The quality or state of being not complex, or of consisting of few parts; as, the simplicity of a machine.
n.
Freedom from subtlety or abstruseness; clearness; as, the simplicity of a doctrine; the simplicity of an explanation or a demonstration.
a.
Infolded; entangled; complicated; involved.
p. pr. & vb. n.
of Implicate
a.
Having no disguised meaning or reservation; unreserved; outspoken; -- applied to persons; as, he was earnest and explicit in his statement.
n.
An explicit declaration.
a.
Tacitly comprised; fairly to be understood, though not expressed in words; implied; as, an implicit contract or agreement.
adv.
By implication; impliedly; as, to deny the providence of God is implicitly to deny his existence.
adv.
In an implicit manner; without reserve; with unreserved confidence.
n.
State or quality of being implicit.
n.
The quality or state of being simple, unmixed, or uncompounded; as, the simplicity of metals or of earths.
a.
Illicit.
n.
Simplicity; silliness.
a.
Not implied merely, or conveyed by implication; distinctly stated; plain in language; open to the understanding; clear; not obscure or ambiguous; express; unequivocal; as, an explicit declaration.
a.
Tending to implicate.
n.
Freedom from artificial ornament, pretentious style, or luxury; plainness; as, simplicity of dress, of style, or of language; simplicity of diet; simplicity of life.
a.
Resting on another; trusting in the word or authority of another, without doubt or reserve; unquestioning; complete; as, implicit confidence; implicit obedience.
a.
Not permitted or allowed; prohibited; unlawful; as, illicit trade; illicit intercourse; illicit pleasure.
imp. & p. p.
of Implicate