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Intersection graph representing regions on the Euclidean plane
In graph theory, a branch of mathematics, a map graph is an undirected graph formed as the intersection graph of finitely many simply connected and internally
Map_graph
Graph that can be embedded in the plane
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect
Planar_graph
Symmetric tessellation of a closed surface
Regular maps are typically defined and studied in three ways: topologically, group-theoretically, and graph-theoretically. Topologically, a map is a 2-cell
Regular_map_(graph_theory)
topology and graph theory, a map is a subdivision of a surface such as the Euclidean plane into interior-disjoint regions, formed by embedding a graph onto the
Map_(graph_theory)
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
Graph of king moves on a chessboard
{\displaystyle n\times m} king's graph is a king's graph of an n × m {\displaystyle n\times m} chessboard. It is the map graph formed from the squares of a
King's_graph
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
Cubic graph with 10 vertices and 15 edges
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the
Petersen_graph
Simple polynomial map exhibiting chaotic behavior
can take negative values. A graph of the map can also be used to learn much about its behavior. The graph of the logistic map x n + 1 = r x n ( 1 − x n
Logistic_map
Graph with at most one crossing per edge
In topological graph theory, a 1-planar graph is a graph that can be drawn in the Euclidean plane in such a way that each edge has at most one crossing
1-planar_graph
Planar maps require at most four colors
planar graph can be formed from a map in this way. In graph-theoretic terminology, the four-color theorem states that the vertices of every planar graph can
Four_color_theorem
Graph describing a topological embedding
In topological graph theory, a graph-encoded map or gem is a method of encoding a cellular embedding of a graph using a different graph with four vertices
Graph-encoded_map
Embedding a graph in a topological space, often Euclidean
In topological graph theory, an embedding (also spelled imbedding) of a graph G {\displaystyle G} on a surface Σ {\displaystyle \Sigma } is a representation
Graph_embedding
Graph related to another graph by a covering map
the mathematical discipline of graph theory, a graph C is a covering graph of another graph G if there is a covering map from the vertex set of C to the
Covering_graph
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
Structure-preserving correspondence between node-link graphs
the vertex sets of two graphs that maps adjacent vertices to adjacent vertices. Homomorphisms generalize various notions of graph colorings and allow the
Graph_homomorphism
Visualization of node-link graphs
if the graph changes over time by adding and deleting edges (dynamic graph drawing) and the goal is to preserve the user's mental map. Graphs are frequently
Graph_drawing
Graph of short distances in another graph
In graph theory, a branch of mathematics, the kth power Gk of an undirected graph G is another graph that has the same set of vertices, but in which two
Graph_power
Diagram to visually organize information
and analyze mind maps automatically. A 2023 study proposed a prompting method named MindMap that uses knowledge graphs to elicit graph-of-thoughts structures
Mind_map
Two special graphs in graph theory
where it forms the Klein map with 24 heptagonal faces, Schläfli symbol {7,3}8. According to the Foster census, the Klein graph, referenced as F056B, is
Klein_graphs
Combinatorial representation of a graph on an orientable surface
A combinatorial map is a combinatorial representation of a graph on an orientable surface. A combinatorial map may also be called a combinatorial embedding
Combinatorial_map
Process in digital electronics and integrated circuit design
Euler (1707–1783) Venn diagram (1880) by John Venn (1834–1923) Karnaugh map (1953) by Maurice Karnaugh The same methods of Boolean expression minimization
Logic_optimization
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
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 function that preserves angles
magnetic field by Gerhard Brunthaler. Conformal Transformation: from Circle to Square. Online Conformal Map Grapher. Joukowski Transform Interactive WebApp
Conformal_map
Graphic device to add descriptive text to visuals
usually one or two sentences long, which accompanies a photograph, picture, map, graph, pictorial illustration, figure, table or some other form of graphic content
Caption_(text)
Topics referred to by the same term
phone network protocol Map (mathematics), generalizations of the concept of function Map (graph theory), a drawing of a graph on a surface without overlapping
Map_(disambiguation)
Undirected graph acted on by a vertex-transitive cyclic group of symmetries
In graph theory, a circulant graph is an undirected graph acted on by a cyclic group of symmetries which takes any vertex to any other vertex. It is sometimes
Circulant_graph
Open source routing engine
OpenStreetMap data for the road network and elevation data from the Shuttle Radar Topography Mission is used. The front-end is open-source too and called GraphHopper
GraphHopper
In graph theory, a quotient graph Q of a graph G is a graph whose vertices are blocks of a partition of the vertices of G and where block B is adjacent
Quotient_graph
Graph in which all ordered pairs of linked nodes are automorphic
the definition above maps one edge to another, a symmetric graph must also be edge-transitive. However, an edge-transitive graph need not be symmetric
Symmetric_graph
Polyhedral compromise map projection
AuthaGraph is an approximately equal-area world map projection invented by Japanese architect Hajime Narukawa in 1999. The map is made by equally dividing
AuthaGraph_projection
Human mortality as a result of coronavirus disease 2019 (COVID-19)
published in WHO reports, tables, and spreadsheets. There are also maps and timeline graphs of daily and weekly deaths worldwide. 7,115,063 (updated 17 July
COVID-19_pandemic_deaths
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
Undirected graph with 14 vertices
mathematical field of graph theory, the Heawood graph is an undirected graph with 14 vertices and 21 edges, named after Percy John Heawood. The graph is cubic, and
Heawood_graph
Writing paper with a grid
can be used to map geometric tiled or tesselated designs among other uses. Isometric graph paper or 3D graph paper is a triangular graph paper which uses
Graph_paper
Operation that combines two graphs
In graph theory, the join operation is a graph operation that combines two graphs by connecting every vertex of one graph to every vertex of the other
Join_(graph_theory)
Mapping a graph onto itself without changing edge-vertex connectivity
In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving
Graph_automorphism
Undirected graph named after S. S. Shrikhande
mathematical field of graph theory, the Shrikhande graph is a graph discovered by S. S. Shrikhande in 1959. It is a strongly regular graph with 16 vertices
Shrikhande_graph
Graph where all pairs of vertices are automorphic
of graph theory, an automorphism is a permutation of the vertices such that edges are mapped to edges and non-edges are mapped to non-edges. A graph is
Vertex-transitive_graph
3-regular graph with no 3-edge-coloring
In the mathematical field of graph theory, a snark is an undirected graph with exactly three edges per vertex whose edges cannot be colored with only three
Snark_(graph_theory)
Graph able to be embedded on a torus
the mathematical field of graph theory, a toroidal graph is a graph that can be embedded on a torus. In other words, the graph's vertices and edges can be
Toroidal_graph
Web mapping service
Google Maps is a web mapping platform and consumer application developed by Google. It offers satellite imagery, aerial photography, street maps, 360°
Google_Maps
Topics referred to by the same term
a finite state automaton (related to the regular expression) Regular map (graph theory), a symmetric tessellation of a closed surface Regular matroid
Regular
Bipartite, 3-regular undirected graph
field of graph theory, the Pappus graph is a bipartite, 3-regular, undirected graph with 18 vertices and 27 edges, formed as the Levi graph of the Pappus
Pappus_graph
Formalism for knowledge representation
A conceptual graph (CG) is a formalism for knowledge representation. In the first published paper on CGs, John F. Sowa used them to represent the conceptual
Conceptual_graph
Graphical representation of data
diagram or graph that organizes and represents a set of numerical or qualitative data. Maps that are adorned with extra information (map surround) for
Chart
One of two different regular graphs with 16 vertices
field of graph theory, the Clebsch graph is either of two complementary graphs on 16 vertices, a 5-regular graph with 40 edges and a 10-regular graph with
Clebsch_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
Data query language developed by Facebook
or modified. A GraphQL server can process a client query using data from separate sources and present the results in a unified graph. The language is
GraphQL
Graph with all vertices of degree 3
of graph theory, a cubic graph is a graph in which all vertices have degree three. In other words, a cubic graph is a 3-regular graph. Cubic graphs are
Cubic_graph
Computational problem of graph theory
between two intersections on a road map may be modeled as a special case of the shortest path problem in graphs, where the vertices correspond to intersections
Shortest_path_problem
US public health issue
map, and by running your cursor over the map at the source. CSV data link below table. Death Rate Maps & Graphs | Drug Overdose. Centers for Disease Control
United States drug overdose death rates and totals over time
United_States_drug_overdose_death_rates_and_totals_over_time
Graph representing edges of another graph
In the mathematical discipline of graph theory, the line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges
Line_graph
Type of flowchart
Acyclic Graphs (DAGs). However the phrase “causal map” is usually reserved for qualitative or merely semi-quantitative maps. In this sense, causal maps can
Causal_map
Theorems connecting continuity to closure of graphs
analysis, the closed graph theorem is a result connecting the continuity of a linear operator to a topological property of their graph. Precisely, the theorem
Closed graph theorem (functional analysis)
Closed_graph_theorem_(functional_analysis)
Topics referred to by the same term
polynomial function of algebraic varieties a regular map (graph theory), a symmetric 2-cell embedding of a graph into a closed surface This disambiguation page
Regular_map
Visual artifact that depicts or records perception
the word 'image' also encompasses any two-dimensional figure, such as a map, graph, pie chart, painting, or banner.[clarification needed] In this wider sense
Image
coupled map lattices); see, for example, Wu. In the following, everything is implicitly assumed to be finite unless stated otherwise. A graph dynamical
Graph_dynamical_system
Homotopic map of a graph
subject of geometric group theory, a train track map is a continuous map f from a finite connected graph to itself which is a homotopy equivalence and which
Train_track_map
Visual representation of the structure of an argument
An argument map or argument diagram is a visual representation of the structure of an argument. An argument map typically includes all the key components
Argument_map
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
Graph of chess rook moves
In graph theory, a rook's graph is an undirected graph that represents all legal moves of the rook chess piece on a chessboard. Each vertex of a rook's
Rook's_graph
Theorem relating continuity to graphs
function into a Hausdorff space has a closed graph (see § Closed graph theorem in point-set topology) Any linear map, L : X → Y , {\displaystyle L:X\to Y,}
Closed_graph_theorem
Peninsula in West Asia
2020. Retrieved 10 June 2024. "Sharjah Population 2022 (Demographics, Maps, Graphs)". worldpopulationreview.com. Retrieved 7 April 2022. Fulmer, Shane.
Arabian_Peninsula
Symmetric bipartite cubic graph with 16 vertices and 24 edges
In the mathematical field of graph theory, the Möbius–Kantor graph is a symmetric bipartite cubic graph with 16 vertices and 24 edges named after August
Möbius–Kantor_graph
Unsolved problem on graph coloring
biplanar graphs. It is known that this number is at least 9 and at most 12. The Earth–Moon problem has been extended to analogous problems of coloring maps on
Earth–Moon_problem
Planar maps require at most five colors
five color theorem is a result from graph theory that given a plane separated into regions, such as a political map of the countries of the world, the
Five_color_theorem
left or right-resolving map, equitable partition, color refinement, and Weisfeiler–Leman canonical form. A directed graph G {\displaystyle G} is given
Fibrations_of_graphs
In the mathematical field of graph theory, the Dyck graph is a 3-regular graph with 32 vertices and 48 edges, named after Walther von Dyck. It is Hamiltonian
Dyck_graph
Planar graph embedding where edges map to straight-line segments
a planar graph in the plane such that its edges are mapped into straight-line segments. Fáry's theorem (1948) states that every planar graph has this
Planar_straight-line_graph
Fundamental unit of which graphs are formed
specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set
Vertex_(graph_theory)
2D representation of a 3D surface
correspond to non-spatial data. In this capacity they act more as graphs than maps. Lines of equal atmospheric pressure. Help identify high-pressure systems
Surface_map
Computing language
graph traversal language and virtual machine developed by Apache TinkerPop of the Apache Software Foundation. Gremlin works for both OLTP-based graph
Gremlin_(query_language)
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
Property of functions in topology
and topology, closed graph is a property of functions. A real function y = f ( x ) {\displaystyle y=f(x)} is closed if the graph is closed, meaning that
Closed_graph_property
Borel graph theorem is generalization of the closed graph theorem that was proven by L. Schwartz. The Borel graph theorem shows that the closed graph theorem
Borel_graph_theorem
Graph representing faces of another graph
mathematical discipline of 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
Dual_graph
City in Quintana Roo, Mexico
kahn-KOON, Spanish: [kaŋˈkun] "Cancun Population 2022 (Demographics, Maps, Graphs)". World Population Review. Retrieved September 1, 2022. "INEGI. Censo
Cancún
Planar graph with 23 vertices and 63 edges
In the mathematical field of graph theory, the Kittell graph is a planar graph with 23 vertices and 63 edges. Its unique planar embedding has 42 triangular
Kittell_graph
Technique for visualizing complex functions
In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the
Domain_coloring
Network representing spatial objects
A spatial network (sometimes also geometric graph) is a graph in which the vertices or edges are spatial elements associated with geometric objects, i
Spatial_network
Graph often embedded in the Klein bottle
mathematical field of graph theory, the Franklin graph is a 3-regular graph with 12 vertices and 18 edges. The Franklin graph is named after Philip Franklin
Franklin_graph
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
Knowledge base that represents semantic relations between concepts in a network
A semantic network may be instantiated as, for example, a graph database or a concept map. Typical standardized semantic networks are expressed as semantic
Semantic_network
On tangency patterns of circles
whose interiors are disjoint. The intersection graph of a circle packing, called a coin graph, is the graph having a vertex for each circle, and an edge
Circle_packing_theorem
Linear map or polynomial function of degree one
polynomial. Its graph, when there is only one variable, is a horizontal line. In this context, a function that is also a linear map (the other meaning
Linear_function
the whole graph that maps one subgraph to the other (but does not necessarily extend the given isomorphism). A homogeneous graph is a graph that is k-homogeneous
Homogeneous_graph
Function, homomorphism, or morphism
are also a few less common uses in logic and graph theory. In many branches of mathematics, the term map is used to mean a function, sometimes with a
Map_(mathematics)
Form of data structure
A scene graph is a hierarchical data structure commonly used by vector-based graphics editing applications and modern computer games, which cascades the
Scene_graph
Length of shortest path between two nodes of a graph
mathematical field of graph theory, the distance between two vertices in a graph is the number of edges in a shortest path (also called a graph geodesic) connecting
Distance_(graph_theory)
Indigenous Polynesian people of Tonga
the original on January 9, 2021. "Tonga Population 2021 (Demographics, Maps, Graphs)". worldpopulationreview.com. Archived from the original on 28 October
Tongans
Approximate nearest neighbor search algorithm
datasets. HNSW stores vectors in a graph. Each vector is a node, and links connect it to some nearby vectors. The graph has several layers: upper layers
Hierarchical navigable small world
Hierarchical_navigable_small_world
Bijection between the vertex set of two graphs
In graph theory, an isomorphism of graphs G and H is a bijection between the vertex sets of G and H f : V ( G ) → V ( H ) {\displaystyle f\colon V(G)\to
Graph_isomorphism
2023-10-03. Retrieved 2023-06-07. "Sharjah Population 2022 (Demographics, Maps, Graphs)". worldpopulationreview.com. Retrieved 2022-04-07. Fulmer, Shane. "Muscat
List of Arabian cities by population
List_of_Arabian_cities_by_population
Open-source data analytics cluster computing framework
general MapReduce-style API. Unlike its predecessor Bagel, which was formally deprecated in Spark 1.6, GraphX has full support for property graphs (graphs where
Apache_Spark
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
Reasoning by means of visual representations
are pictorial, yet abstract, representations of information, and maps, line graphs, bar charts, engineering blueprints, and architects' sketches are
Diagrammatic_reasoning
2022, retrieved 18 August 2022 "Morocco Population 2020 (Demographics, Maps, Graphs)". worldpopulationreview.com. Retrieved 25 January 2021. Azagury, Yaëlle;
Demographics_of_Morocco
Knowledge management software
knowledge elements can be structured and interrelated (as a tree, graph, tree plus graph, spatially, categorically, as n-ary links, chronologically, or ZigZag);
Personal_knowledge_base
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